IMAGE EVALUATION TEST TARGET {MT-3) Cv3 // // 4. ^1^ :/. f/. 1.0 I.I 11.25 jam |2^ £ i:s 110 III U III 1.6 Photographic Sciences Corporation i;cne, c<3 gauche d drcite, et de haut en bas, en pren^;it ie nombre d'images n^cessaire. Les diagrammes suivants i!:ustrent la m^thode. D 22X 1 2 3 r 1 2 3 4 5 6 ' C{ ' i ti' -' '•> H^ mmiiHn^^ 1 , ^^^^^^^^^^^1 ADDITION TABLE I I A..D,T,o.-, is, he process of fi ^• I """bars of the saiJe S °""« '"==""> "' '"o or ™ore' 'itS:^^::!::!-''eresu„ob..„ed. and and . ! and 2 and 3 and 4 and 5 and 6 and 7 and 8 and 9 and 10 and II and 12 8 and 8 and 8 and 2 8 and 3 8 and 4 8 and 5 8 and 6 8 and 7 8 »and 8 8 and 9 8 and 10 8 and 11 8 and 12 I J ="^ ° ^"-e II II and X are ic " and 2 arl ,0 J «"d 3 are 4^ and 4 are ^ f J and 5 are 16 f J and 6 are ,7 II and 7 are 18 I and 8 «re ig II ^n^ 9 ^'■'^ 2^ II and 10 are ar 'I and II are 22 u and 12 nre 23 and 2 and 3 and 4 and 5 and 6 and 7 and 8 and 9 ^ and 10 J and ir and 12 13 and 12 and 12 and 12 and 12 and 12 and 12 and 12 and 12 and 12 and 9 are '2 and 10 are 12 and II are 12 1 are 13 2 are 14 3 are 15 4 are 16 5 are 17 6 are 18 7 are 19 8 are 20 21 22 '2 and 12 are are 23 10 and 10 and r 10 and 2 10 and 3 I" and 4 10 and r 10 and 6 10 and 7 10 and 8 10 and 9 10 and 10 10 and ir 10 and 12 13 and 13 and 13 and 13 and 13 and 13 end 13 and I J and 13 and are 13 1 are 14 2 are 15 3 are 16 4 are 17 5 are 18 6 are 15 7 are 20 are 21 13 and 9 are 22 13 and 10 are 2, 13 and ir ^^ 12 are are 25 SUBTRACTION TABLE. Subtraction is the process of finding the difference between two numbers of the same kind. The Difference or Remainder is the result obtained. from from from fr( .11 from from from from from from 2 leaves 3 leaves 4 leaves 5 leaves 5 leaves / leaves 8 leaves 9 leaves 10 leaves g 11 leaves lo 14 from 4 from 4 from 4 from 4 from 4 from 4 from 4 from 4 from ._, ^ 3 4 from 14 leaves lo 5 leaves leaves 7 leaves 8 leaves 9 leaves 10 leaves 11 leaves 12 leaves 13 leaves from 8 from 9 from 10 from II from 13 from 13 from 14 from IS 7 from 16 7 from 17 leaves leaves leaves leaves leaves leaves leaves , leaves 8 leaves 9 leaves 10 11 leaves 12 leaves 13 leaves 14 lea^ies 15 leaves 16 leaves 17 leaves 18 leaves 19 leaves 10 from 10 from 10 from 10 from 10 from 10 from 10 from 10 from 10 from .-, ._. , 10 from 20 leaves 10 2 from 2 from 2 from 2 from 2 from 2 from 2 from 2 from 2 from 2 from 3 leaves 4 leaves 5 leaves 6 leaves 7 leaves 8 leaves 9 leaves 10 leaves 11 leaves 12 leaves 4 leaves 5 leaves 6 leaves 7 leaves 8 leaves 9 leaves 10 leaves 1 1 leaves 12 leaves 3 from 3 from 3 from 3 from from from from from from ,. .^„,oi, y from 13 leaves 10 from from from from from from from from from from 6 leaves 1 7 leaves 2 8 leaves 3 9 leaves 4 10 leaves 5 11 leaves 6 12 leaves 7 13 leavesv 8 14 leaves 9 15 leaves 10 7 leaves 8 leaves 9 leaves 10 leaves 11 leaves 12 leaves 13 leaves 14 leaves 15 leaves 6 from 6 from 6 from 6 from 6 from 6 from 6 from 6 from 6 from .J ^ ^ 6 from 16 leaves 10 8 from 8 from 8 from 8 from 8 from 8 from 8 from 8 from 8 from 8 from 9 leaves 10 leaves 11 leaves 12 le£.ves 13 leaves 14 leaves 15 leaves 16 leaves 17 leaves 18 leaves 10 9 from 9 from 9 from 9 from 9 from 9 from 9 from 9 from 9 from .„ .^„.^^ V, 9 from 19 leaves 10 10 leaves 11 leaves 12 leaves 13 leaves 14 leaves 15 leaves 16 leaves 17 leaves 18 leaves II from II from II from II from II from II from II from II from II from II from 12 leaves 13 leaves 14 leaves 15 leaves 16 leaves 17 leaves 18 leaves 19 leaves 20 leaves 9 21 leaves 10 13 leaves 14 leaves 15 leaves 16 leaves 17 leaves 18 leaves 19 leaves ao leave" 21 leaves 12 from 12 from 12 from 12 from 12 from 12 from 12 from 12 from 12 from ^ 12 from 82 leaves 10 le difference It obtained. 1 4 leaves I 5 leaves I 6 leaves I 7 leaves I 8 leaves I 9 leaves 10 leaves 11 leaves 12 leaves 13 leaves 10 7 leaves 8 leaves g leaves 10 leaves 11 leaves 12 leaves 13 leaves 14 leaves 8 15 leaves 9 16 leaves 10 10 leaves 11 leaves 12 leaves 13 leaves 14 leaves 15 leaves i6 feavts 17 leaves 18 leaves ^ 19 leaves 10 13 leaves 14 leaves :5 leaves 6 leaves 7 leaves 8 leaves 9 leaves Q Icavr!? 1 leaves 9 2 leaves 10 PRIMARY ARITHMETIC I TORONTO AND MONTREAL ^' & J.SADLIER & CO." P7 Entered according to Act of Parlia.nent .n the year of our Lord, 1893, by \ JAMES P. O'RIELLY, in the Office .,f the Minister of Agriculture. Printed by TiMMS & Co., TORONTO. Electrotyped by The Nationai, Electrotype Co., TORONTO. I i f i PREFACE. THIS little volume is a h„ i . ^ Arithmetic. I. requi es a L . ''"''"^ '" not ,vasted ,v,th model sol,,^!^ *"' ^'"'« '= ;he grade for which th s b 7 s\d ''V"''" "^ from the solutions in texth I ''"'''■ '""'" "«le living Teacher to vl T^k; ,! "'^^ '^^"■>« '"S-d "layyetbeusedinweishinL ' '"""' P"' "f » but the pound is no: t ~" TX"' "'"^''' Capacity are condensed i„, ^ Measures of the essentials. ^ '"'° ""^ '^We which gives For obvious reasons th^ 'his boot. Tohelp h busvTe"^"^ "°'8'^^" i" to make out the anste^ T,?""'" "''° ''"^ "»' "me Edition with answers a^dWh 'I' ''"'''' ^^-""'^ ~of,eachmgtheele„::tofli:,^J:r''^" ORONTO, S.//.,„6.., Jsg^ F. S. C CONTENTS. Preface ^^^'^ ., in INUMERATION AND NOTATION Roman Numerals Sjgns in Arithmetic Addition _ 6-25 , Subtraction . . . ' ,. 2638 Multiplication . . . P, 39-53 Division . 54-68 introductory Fractions . r ^ 69-71 Bills 72-75 Confound Numbers :— Tables of Measures g g, Reduction, Descending " Ascending g " Miscellaneous gj g ^^^'^^°^ '^'"""""'"!84^86 Subtraction g^ ^^ Multiplication .... „ 09-90 Division .. 91-92 Miscellaneous . . Cancellation 90-97 Miscellaneous Exercises. . . ^o 90-100 I 13 'J 16 S il S( 18 E 19 N: Primary Arithmetic. Jiumrration aim ilotatioii. Exercise l.-r^,^V..^,„,^,„„,„ . One. ° ^""jy'" <2^™>- r^ 4 Four. . c 2 Two. , r- 7 Seven. 9 Nine. 10 Ten. 11 Eleven. 12 Twelve. 13 Thirteen 10 Ten. 20 Twenty. 30 Thirty. Exercise ll.-^,„, ^„ ,,, ^,,,^^^^^ 18 Eighteen. 19 Nineteen. 20 Twenty. 14 Fourteen. 15 Fifteen. 16 Sixteen. n Seventeen Exercise lll^m Tens. r« -^l ^" 7° Seventy. '° ^""y- 90 Ninety. Exercise , V.-^/, «. ^.,,,,„ ^^ ^^^ ^. ^^^^^^ 10 Ten. 11 Eleven. 12 Twelve. 13 Thirteen. 14 Fourteen, 15 Fifteen. 16 Sixteen. Seventeen, 18 Eighteen. 28 T 1° Twenty. 3^ Thirty. II :i«'«'")'-°ne. 3r Thir.y.o„e. i: Twenty-two. 3. Thirty-two. ^3 rwentythree. 33 Thirty-three !| Twentyfive. 35 Thirty-five. 26 Twentv-six. ./; TS--f • " T...„...,eve„. „ Thir„.,3even. 9 Nineteen L* TwettT:''''- ^' ™'"^-g'"' 29 Iwenty-nme. 39 Thirty-nine. NUMERATION AND NOTATION. Exercise 1Y.— (Continued). 4o Forty. • 60 Sixty. 80 Eighty. 41 Forty-one. 61 Sixt}-one. 81 Eighty-one. 42 Forty-two. 62 Sixty-two. 82 Eighty-two. 43 Forty-three. 63 Sixty-three. 83 Eighty-three. 44 Forty-four. 64 Sixty-four. 84 Eighty-four. 45 Forty-five. 65 Sixty-five. 85' Eighty-five. 46 Forty-six. 66 Sixty-six. 86 Eighty-six. 47 Forty-seven. 67 Sixty-seven. 87 Eighty-seven 48 Forty-eight. 68 Sixty-eight. 88 Eighty-eight. 49 P'orty-nine. 69 Sixty-nine. 89 Eighty-nine. 50 Fifty. 70 vSeventy. 90 Ninety. 51 P^ifty-one. 71 Seventy-one. 91 Ninety-one. 52 Fifty-two. 72 Seventy-two. 92 Ninety-two. 53 Fifty-three. 73 Seventy-three 93 Ninety-three. 54 Fifty-four. 74 Seventy-four. 94 Ninety-four. 55 Fifty-five. 75 Seventy-five. 95 Ninety-five. 56 Fifty-six. 76 Seventy-six. 96 Ninety-six. 57 Fifty-seven. 77 Seventy-seven. 97 Ninety-seven 58 Fifty-eight. 78 Seventy-eight. 98 Ninety-eight. 59 Fifty- nine. 79 Seventy-nine. 99 Ninety-nine. ■3 Exercise Vi — Numbers of Three Figures. 100 One hundred. loi One hundred and one. 102 One hundred and two. 103 One hundred and three. 104 One hundred and four. 105 One hundred and five. 106 One hundred and six. 107 One hundred and seven. 108 One hundred and eight. )N. Eighty. Eighty-one. Eighty-two. Eighty-three. Eighty-four. Eighty-five. Eighty-six. Eighty-seven. Eighty-eight. Eighty-nine. Ninety. Ninety-one. Ninety-two. Ninety-three. Ninety-four. Ninety-five. Ninety-six. Ninety-seven. Ninety-eight. Ninety-nine. Figures. e. -a NUMERATION AND NOTATION. Exercise V.— (Continued). 1^9 One hundred and nine. no One hundred and ten. 211 Two hundred and eleven. 312 Three hundred and twelve. 413 Four hundred and thirteen. 514 Five hundred and fourteen. 615 Six hundred and fifteen. 716 Seven hundred and sixteen. 817 Eight hundred and seventh , . 918 Nine hundred and eighteen. 119 One hundred and nineteen. 820 Eight hundred and twenty. 121 One hundred and twenty-one. 432 Four hundred and thirty-two. 333 Three hundred and thirty three. ■244 Two hundred and forty-four. 745 Seven hundred and forty-five. 656 Six hundred and fifty-six. 457 Four hundred and fifty-seven. 968 Nine hundred and sixty-eight. 269 Two hundred and sixty-nine. 170 One hundred and seventy. 571 Five hundred and seventy-one. 272 Two hundred and seventy-two. 773 Seven hundred and seventy-three. 474 Four hundred and seventy-four. 875 Eight hundred and seventy-five. 880 Eight hundred and eighty. 381 Three hundred and eighty-one. 189 One hundred and eighty-nine. 999 Nine hundred and ninety-nine. $ NUMERATION AND NOTATION. Exercise ^\.-Numbers from 4 to 12 figures 2,005 Two thousand and five. 4,024 Four thousand and twenty-four. io',oo7 Ten thousand and seven. 24,019 Twenty-four thousand and nineteen. 300,027 Three hundred thousand and twenty- seven. 504,204 Five hundred and four thousand, two hundred and four. , 2,000,009 Two million and nine. 3,004,207 Three million, four thousand, two hundred and seven. 10,005,195 Ten million, five thousand, one hun- dred and ninety-five. 65,045, 1 10 Sixty-five million, forty-five thousand, one hundred and ten. 300,010,060 Three hundred million, ten thou- sand and sixty. 406,009,056 Four hundred and six million, ten thousand and fifty-six. 4075,109,346 Four billion, seventy-five million, ^'^ one hundred, nine thousand, three hundred and forty-six. 24 017,000,245 Twenty-four billion, seventeen mil- 24,017, ^.^^^ ^^^ hundred and forty-five. ..noi- xx^ ^-7 One hundred and fifty billion, fif- i5o,oi„i45,3-7 - ^^^^ ^.^^.^^^ ^^^ ^^^^^^^ ^^^ and forty-five thousand, three hundred and seven. 12 figures ve. venty-four. :ven. d and nineteen. and and twenty- four thousand, four. ne. : thousand, two en. Dusand, one hun- -five. rty-five thousand^ d ten. ilUon, ten thou- 1 six tniUion, ten fty-six. enty-five million, nine thousand, { and forty-six. ion, seventeen mil- red and forty-five, d fifty billion, fif^ , one hundred and 1 ; thousand, three ;: leven. NUMERATION AND NOTATION. Exercise '^W^— Roman Numerals. I One. 11 Two. III Three. IV Four. V Five. VI Six. VII Seven. VIII Eight. IX Nine. X Ten. XI Eleven. XII Twelve. XIII Thirteen. XIV Fourteen. XV Fifteen. XVI Sixteen. XIX Nineteen. XX Twenty. XXX Thirty. XL Forty. L Fifty. LX Sixty. LXX Seventy. XVII Seventeen. LXXX Eighty. XVIII Eighteen. XC Ninety. C One hundred. CC Two hundred. CD Four hundred. D Five hundred. DC Six hundred. CM Nine hundred. M One thousand. MM Two thousand. MDCCCXCIII Eighteen hundred and ninety-three. Exercise VI I \,~Sig7is in Arithmetic. + is the sign of addition. It is called //«j. - is the sign of subtraction. It is called minus. X is the sign of multiplication. It is called multi. plied by. -i- is the sign of division. It is called divided by. = is the sign of equality. It is called equals or equal. ADDITION. 1 (1) I I iSxercises in atJtrition. Exercise IX. (20) 3 (39) 9 (58) 12 (77) 57 6 9 2"? Q2 (96) 42 39 (2) I 2 (21) 3 7 (40) 3 8 (59) 13 34 (78} 72 29 (97) 57 19 (3) I 3 (22) 4 4 (41) 2 (60) 14 9 42 (79) 26 57 (98) 24 89 (4) I A (23) 4 5 (42) 4 (61) 17 7 21 (80) 87 17 (99) 76 27 (5) I 5 (24) 4 6 (43) 3 9 (62) 45 23 (81) 48 39 (100) 79 85 (6) I ; 6 (25) 5 5 (44) 4 8 (63) 26 32 (82) 57 27 (loi) 86 97 (7) I 7 (26) 5 6 (45) 5 4 (64) 45 23 (83) 23 67 (102) 59 79 (8) I 8 (27) 5 7 (46) 6 3 (65) 54 23 (84) 56 34 (103) 96 79 (9) I 9 (28) 5 8 (47) 7 2 (66) 48 50 (85) 89 99 (104) 49 88 (lO) 2 2 (29) 5 9 (48) 4 9 (67) 64 24 (86) 47 25 (105) 74 84 (II) 2 3 (30) 6 6 (49) 6 5 (68) 16 50 (87) 77 13 (106) 89 65 (12) 2 4 (31) 6 7 (50) 7 4 (69) 14 75 (88) 35 45 (107) 47 74 (13) 2 5 (32) 6 8 (51) 8 3 (70) 45 54 (89) 75 45 (108) 87' 84 (14) 2 6 (33) 6 9 (52) 9 2 (71) 95 30 (90) 87 84 (109) 76 85 (15) 2 7 (34) 7 7 (53) 8 7 (72) 32 43 (91) 47 28 (no) 57 68 (16) 2 8 (35) 7 8 (54) 9 8 (73) 23 56 (92) 45 29 (III) 89 57 (17) 3 3 (36) 7 9 (55) 6 4 (74) 45 23 93) 76 14 (112) 79 85 (18) 3 4 (37) 8 8 56) 7 3 (75) 42 (94) 57 35 18 (113) 77 69 (19) 3 5 38) 8 ( 9 57) 8 2 (76) 75 ( 44 95) 74 49 114) 96 77 tion. 77) 57 92 (96) 42 39 ■8J 72 29 (97) 57 19 ■9) 26 57 (98) 24 89 !o) 87 17 (99) 76 27 I) 48 39 (100) 79 85 2) 57 27 (loi) 86 97 3) 23 67 (102) 59 79 4) 56 34 (103) 96 79 5) 89 99 (104) 49 88 5) 47 25 (105) 74 84 ') 77 13 (106) 89 65 ) 35 45 (107) 47 74 ) 75 45 (108) 87' 84 ) 87 84 (109) 76 85 ) 47 28 (no) 57 68 ) 45 29 (in) 89 57 ) 76 14 (112) 79 85 57 18 ("3) 77 69 74 49 (114) 96 77 ADDITION. y Exercise X. 3 15. Add by twos as far as 100. 1 16. Add by threes as far as 99. 117. Add by two and three alternately as far as 100. 118. Add by fours as far as 100. 119- Add by three and fouralternatelyas far as 100. 120. Add by fives as far as 100. 121. Add by four and five alternately as far as 100. 122. 6 bats and 3 bats are how many bats ? 123. 4 boys and 5 boys are how many boys ? 12.4. 7 dollars and 2 dollars are how many dollars ? 125. 2 cents and 5 cents are how many cents ? 126. 4 girls and 3 girls are how many girls ? 127. 7 houses and 5 houses are how many houses? 128. 5 fishes and 8 fishes are how many fishes ? 129. 9 tops and I top are how many tops? 130. A boy paid I cent for a stick of candy and 2 cents for an apple; how many cents did both cos^? mothl' J°^"'f ^^^h^^g^ve him two apples, and his mXT?^'™"^'^^^^^^^-'-"^^ J33- If a pencil cost 2 cen.s, and a copy 6 cents • how many cents will both cost ? ' 134. William lost 7 marbles and has 6 remaining ■ how many had he at first. ^ ' another ; how many birds on both trees ? 8 ADDITION. Exercise XI. 1 i > ■ 489 ' (i99) _557.. (200) 795 lla^ .370 957 589 (202) 676 (203) —541 829 749 _676^ 417 I (206)" J28J 555 I (2o7)" 676 528 (210) 896 ' 440 (211) 579 (212) (213) (218) (219) ADDITION. Exercise XII. 220. Add by threes, from 2 to no. (Thus, 2 and 3 are 5. and 3 are 8. and 3 are ir, etc.) 221. Add by twos, from 3 to 81. 222. Add by threes, from i to 61. 223. Add by fours, from 3 to 115. 224. Add by fives, from 2 to 77. 225. Add by sixes, from 3 to 57. 226. Add by sevens, from 4 to 116. 227. Add by sevens, from 6 to 118. 228. Add by eights, from j to 89. 229. Add by eights, from 5 to 69. 230. Add by eignts, from 7 to 55. 231. Add by nines, from 3 to 102. 232. Add by nines, from 4 to 76. 233. Add by nines, from 8 to 116. 234. Add by threes, from 1 1 to 44. 235. Add by fives, from 7 to 47. 236. Add by sevens, from 9 to 86. 237. A news boy sold 10 papers in the morning and 7 m the afternoon ; how many papers did he sell during the day ? 238. If Joseph has 3 cents in one pocket and lo cents m another ; how many cents h is he ?; 239- William paid 12 cents for a slate and i cent for a pencil ; what did he pay for both ? 240. There are 17 trees in one field and 9 in another ; how many trees in the two fields ? 10 ADDITION. (241) 807.976 5.624 w____564-8o7 ^242) 577.409 689.476 ^l747 (243)845.467 37.854 ^—— 9571674 (244) 6.976 827.845 . __53Si694 (645) 70.4(;q 425.7^6 — __429v358 (246) 5.027 — — _73M5_4 (247)405.789 6.854 — — — 7il768 (248) 67.425 576.324 047^ 007^ (249) 76.515 689 . 065 276.709 12507677:^77 9.906 -5fe65 Exercise XIII, (255) 310.407 76.415 _592^SoS (256)"~s7j::;^ 996. 89S 2.S24 (257717742" 924.895 152^ 258) 784.805 492.827 — ilZ54 (259) 6.823 989.347 724^839 (260) 57.924 984.697 (261)954.356 876 977 (251)275.824 197.489 _____35M95^ (252) 24.547 752.976 376^9, (253) 824 294.731 ..^ 48.:^835_| (254)452.^27 j 76.679 3.742 I 767^8 I (262) "tToSo 854.974 I_____j69^;677 (263) 64.807 J2.934 ___879i2^ (264) 4.927" 98.896 ___679^ (265)894.796 457.877 586^ 987^ (2667~578^ 677.924 — __7S9i789 (267) 347 827.985 ____794i276 (268) 7.952 972.354 786.546 (269) 85. 837 352.934 587.952 (27071777^47" 76.879 Ml754 (271)304.825 77.156 .789:654 (272)452.372 ^ 9.694 — — :^83 (273)897.476 684.753 778.694 ^2777767827^ 84.7S5 _ 826 (275) 453^17 (276) 217.904" — __^79:964 (277) 376.924 433.827 ——899^255 (278) 657.985"" 984.752 — -__895:674 (279)423.590 677.884 899.7 01^ (280)897.452 920.672 — — 246j_794 (281) 76.009 984.888 ___45Ii697_ ^'^^^904.5241(296) 076.877 928.395 (2^2,) 827.456 925.834 —— _f34:937 (284) 824.907 933.829 — — __i4:927 (285) 456.874 27.956 -69^674 7154 957.970 809^76 476.089 748.678 J8. 482 987 .""854 .64.247 809.456 7.465 3i97[ ^ 4.307 645.879 474^307 456.817 96.209 817^456 327.410 7.689 456^354 807.976 6.467 853^43? 683.421 6.431 .^5:390 65.348 7-340 658^9^ 768.453 676.921 678.945 827.456 925-834 _^34^937 824.907 54^9£7 4S6T8^ ^7-95^ 76M74 957.970 809^76 476.089 748.678 88.482 ^ 4.307 645.879 _474j_307 456.817 96.209 .8i7i456 327.410 7.689 .456^354 807.976 6.467 _§53i432 683.421 6.431 __65^39o 65.348 050.2 91 768.453 676.921 678.945 ADDITIOX. Exercise XIV. XI Add the following : 297- Three hundred ninety ; eight hundred thirty- six ; three hundred tvventy-six ; and two hundred nine. : 298. Three thousand, forty-eight ; one thousand, ; four hundred eighteen ; one thousand, Uvo hundred fifty-two ; and one thousand, nine hundred ninety- •one. 299. Eight-hundred two; two hundred seventy- two ; two hundred sixteen ; and five hundred thirty- nine. 300. Six hundred ten ; one thousand, six hundred thirty-six; four thousand, eight hundred ninety- seven ; seven hundred one ; eight hundred thirty- three ; and seven hundred ninety-six. 301. One thousand, two hundred two ; five thou- sand, five hundred five ; six hundred seventy-eight • two thousand fifty one ; and one thousand, three hundred thirty-nine. 302. Two thousand, three hundred sixty-seven- eight hundred seven ; five hundred twenty-four ; and three thousand, one hundred seventy. 503- Four thousand, five hundred seventy-eight • nine hundred sixty-one ; five hundred seventy-two • and three hundred sixty-three. ' 304. One thousand, three hundred nine- four thousand, three hundred twenty-nine ; one thousand two hundred sixty-five ; three hundred eight ; and tour hundred twenty-six. xa ADDITION. Exercise XV. (305) 59. 82 7 747-3^'5 ;. 9^4.57C> (306)364.907 671.596 — — Z95iS79 (307) 754.607" 837.925 -——945:^9 (308) 759. 823^ J7S-453 — -Ml937 (309)924.674 S^n^743 , 896:395 (3 16) 789.651 666.795 ____584^888 (311) 67'/. 491 5.S87 ______976^642 (312)837.454 928.367 . 676._ 897 (313)576.824 794.952 , 977:_495 <3'4)835.753- 676.885 ___898^6 (315) 754.829 8/8.937 , 989^773 (316) 854.947 967.876 — — _789^ (317)654.576 976.787 898^94 (318)654.789 773.212 564.342 (319)676.834 847.885 989.769 (320) 495^ 72.224 — J95._477 (321) 37.904 986.876 ——877^^95 (322) 676.976 799.884 , J85.544 (323)823.441 937.544 ——^39^5 (324) 824.954" 987.889 , 7.6^9.564 (325) 834.905 976.827 895.795 (326) 839.455 768.649 -—- fel95 (327) 698.929 837.651 — ^596^746 (328)954.653 497.974 ____689^ (329) 654.376 795-497 689.879 (33o)6777s^ 895.957 577.676 5.2: 576.423 76o^5£ (332) 676.345 896.743 (333) 654.957 78.786 547.679 (334)529.234 876.789 ___798^576 (335) 257.470 988.742 599.899 (336) 457^576 756.079 ——489^,115 (337) 7.809 356.377 - --2i4^5_94 (33S) 376.476 _____858^896 (339) 854.217 785.829 fe549 (340) 34.827 376.956 -____798^8 (341) 87.851" 676.724 7 375,:%I (342) 78.947 654.705 495.827 (343) 2767^ 484.821 — __f56^l76_ (344) 237.864 49.874 , 895^597 (345) 624.079 937.484 5S4.979 (346) 67X87^ 95.549 276.747 (.547) 376.474 ^. 87^676_ (348) 76.984 487.876 ___549.879 (349) 676' 456.894 —972.397 350) 6.-797- 694.846 ^— &957 (351) 849^ 753.476 ^977j689 (352), 877654" 796.978 57S^^97_ (353) 450.017 696.469 — — J27jl676_ (354) 307 45.654 -— __827^456 (355) 7.426 874.974 — — J54:369 (356) 67.45o~ 698.795 ____J76^887 (357)675.302 63.320 -_____503^686 (358)680.312 362.319 -__63i^865_ (359) 654.321 987.654 -— J35:79p (360)641.653" 430 601. ",2I '/} I "5 i ADDITION. 13 Exercise XVI. (366) 524.677.875 676.954.967 795 '896 .789 ^.547)376.474 (361) 943-575-423 928.357 854.349.870 _87M76_ 975: 7 SO- 249 (34ti) 76.984 (362) 745.654.870 4S7.876 ■ 94-«7S'984 _^49^8j9 734-954.877 (349) 676 (363) 476.854.984 456.894 7-675 -895 -_972 -397 ^54j^764_i?54 (350) 6.7,j5 (364) 5Y6.895-752 694.846 495.847.967 ^.J^957_ 9 .954.634 (351) 849 (365) 477-546.789 753.476 585.678.S97 J>77.689 246.794.976^ (352), 17^-654"" 796.978 , J7S^62i^ (353)450.017 (367) 74.954.896 696.469 745.876.547 8o7.676_ 6.7 98.798 (354) ^ (368) 376.457-897" 45-654 453-376.586 — __8o7_^456 5 47.684.794 '(355) 7-426 (369) 52-576.827 874.974 576.497-899 -— _554:369_ 494.78 5-675 1(356) 67.450 (370) 743-210.827 698.795 457-654-923 I — _J76^887_ I 596-795-954 (357)675.302 •- (371) 574-654-787 63.320 9.876.981 ____503^686_ 785.495.875 (358)680.312 (372) 351 -945 -095 362.319 823.954.851 63 1.865^ , 687-895-754 (359)654.321 .. (373) 654.234.654 987.654 568.976.456 ~~--Sii:79p_ 4 876.889.999 (360)641.653 I (374) 657.954 430 I 862.945.677 601.321 I 452-789.654 '(375) 457-676.915 376.485.854 887.567.976 ;376) 377) (778)" 543-285.654 791.396.787 887.567^76 576.451.324 455-934.656 567.957.823 587.654.927 674.987.634 4S6.856.858 (379) 7-453-876 954.796.685 876.676.793 2t (380) 432-765 754.674.S07 89 7.987.98 4 (381) 567.795-984 687.987.877 793-6 76.785 (382) 567-898 547.676.784 325 -479-9 77 (383) 476.307.827 574-587-954 955-496.775 (389) <39o7 (391)"" (3927 (384) 7-675-432 234.567.899 475-376.798 (385) (386r 375-452.677 7.546.984 578^667.546 230.076.475 791.989.396 484.657.987 (387) 476.795-675 764.579.889 507.687.964 (388) 545.657.899 437-964.542 654.876.788 (398) 399) (400) •95-234-35 7.67().96; 596.798.879 452-373-464 786.954.789 694 .876 .998_ 796.457-676 687.794.794 __li9^^587. 584.653.795 695.796.817 776.887.984 (393) 457-576.324 6.847.987 689.698.798 (394) 674.856 974.845.922 64.596.847 (395) 74.285 97.889.658 ^54._397:_8^7_ (396) 7.9^0.074 853.987.695 974 -876.956 (397) 74-234-654 989.876.497 647.98 7.854 476.874 75-789-693 896.797.784 65.489 7.688.987 986.854.576 (401) 543 -835 -954 835.854.829 924-988.556 924.654.829 ~f., Vf,0 o-„ 304. uDo .u.:y 987.876.329 (402) 60.654.576 276.908.854 434.827.214 '4 . ' Af)r)ITION. Exercise XVII. Add tlip following • hu::,r;d^!::::j^':.f, ^'r^-:^- '"ousana, four hundred .w mtte'v^;.' '""T f" ""'"^"'^ '"- ^-housa„d.„„:';'i:,t:-;t-^-''-d.h,„. seventy. ninety, and eight hundred ^-y-ei«lu; ni;:c h:nd, '.^-^/Jf '/--.^ -hundred seven hundred forty-four ^""'"^ "'°"=^'«^' hured!!::;:'::x^t7/ °"^ '^™-''- «- thousand, six vs^x .w .'"'>■' "'^'''''undred • hund^d ;e,^::;.::;;„/'''' '"^^ '"""^'^ »-- ] e./h:; lT„.S?'.;r "\°"-"* "^- hundred six; hree thousand ."' '''"" ^""'^'^'^ Sfy .h..ee„tho:S:t:-^---^.Hwo.an^J two"hundrrdXttT:"";''°"""''' "-•^■^°-.- 'een ; three hundred ..'"> • "° *"■"*•"■' ^-<'-- - eisht thousand. Itid^r- """'''"^ ■^•"■' "•"^•• ■"■ne hundred thltv six 1 ?"'''''""" *°"^^"* ■«*ed forty-four 1; 'u'""=" ""'"=''< =^ve„ ,,,^ . >d eleven thousand, eight hundred twenty- five thousand, four 1 sixty thousand, four idred five thousand one hundred thirty, ix. •ur hundred fourteen and eight hundred idred thirty-seven; y-one ; six hundred ifty-nine thousand, ne thousand, five 'i ty; eight hundred t thousand, seven d, three hundred en hundred fifty. I forty-two; and y. and, ninety-four ; ' hundred seven* -five; and s'xf)'- ired sixty-seven ; seven thousand, lousand, seven i^ine hundred undred twenty ADDITION. Exercise XVII I. »S Find the sum of; (410) S7^^-79-^. 652 + 467. 887. 789 + 689. 975. 898. (4' I) 354.796.452 + 477.689.376+766.875.889. (4 '2) 45+-7''4>:96 + 897.58y + 689.985.667. (413) 4i3-575'654 + 245-689. 897 + 987.347.566. (414) 5'' 7 -984 -32 1 +495 -675. 474 + 689.797.689. (415) 4.347-651 +865.755.561+447.675.384. (416) 327-454- 276 + 789. 567. 485 + 898. 635. 743. (417) 645.606.997 + 2.754.884 + 567.875.776. (418) 475-645-75' +547.896.946 + 689.987.875. (419) 456.374.854 + 967.653.485 + 526.789.596. {420) 546 . 276 . 927 + 627 . 792 + 797 . 794 . 889. (421) 677.455.475 + 794.587.495 + 685.694.784. (422) 7. 565. 654 + 49 .677. 789 + 488. 754. 347- (423) 577.235.497 + 689.898.696 + 845.976.375. (424) 745.676.452 + 356.789.584 + 789.898.976. (425) 745.676.452 + 827.952.365 + 989.899.765. (426) 7.652.927 + 535.746.795 + 676.898.888. (427) 769.654.327+452.577.889 + 678.789.918. (428) 575.479.884 + 657.584.927 + 789.697.547. (429) 328.450.676 + 821.976.217 + 796.897.898. (430) 567 . 452 . 377 + 477 . 354 • 889 + 889 . 987 . 996. (431) 5.677.452 + 436.584.796 + 797.895.974. (432) 325.674.827 + 747.932.674 + 569.485.895. (433) 415.956.327 + 825.937.454 + 976,878.796. (434) 327.457.652 + 794.875.954 + 686.956.869. (435) 798.653.450 + 7.987.987 + 956.896.789. (436) 754.650.827 + r.75. 798. 354 + 757. 654. 976. 1437) 650.475.875 + 6.984.989 + 889.796.854 {438) 764 . 576 . 776 + 476 . 884 . 894 + 987 . 997 . 987. (439) 74.678.432 + 7.465-374 + 847.953.459 (440) 546.876.307 + 9.046.754 + 74.857.937. (441) 436.807+47.659.874+856.524.325. (442) 57.435.607+842.954.824 + 95.676.936- (443) 70.457 + 8,984.604 + 976.867.539. (444) 7 . 650. 342 + 974 . 379 . 457 + 83 . 085 . 768. (445) 45.789 + 75.376.457 + 83.085.768. i6 ADDITION. 56.276.454 I (^36^ Exercise XfX. 367.796.709 6.719-187 .577:485^^-5 n 692.976' 427.985.741 4-851.907 __795:29i.j-52 ^) 76. 984^:3, 6" 6.569.897 978.087.705 _324.829.496 ^ 74.S26.456 ,, 96.749 ^95- 735 -276 —198^307^476 576.450.079 94.196.376 65.4^8 _36o^8^8^275 797.654.829 776. S19 ^5-435.839 48176^ 497.897.9S7 689.845 46.769.779 --7i987:97i ^54.874.954 68.987.876 8 796.589 895.458.705 _9^ij^983j^ 57.874.089 .4.786.774 875.697.897 965.665 90 r. 892 476.54'J:8^ 69.874.386 297.486,6-74 4.235.7;5 072.672.961 725.076.482 894.675 439.765.798 __78^^9a7^ ) 20.742.343 ^48.487.578 _?87^4^684 ^^„ 434.579 478.527.624 2.795.467 ,984. 686. 386 789.894:6^ ^•546.754 73.836 4541287^8^ 356.754.637 7.447.176 „ 78.489 98^^69^ ^6^^7987954 452.679.587 7.665 777^423:749 457.887.954 596.576.765 185.964.476 ^97:85i_^953 276.457.844 384.584.S76 997.695.897 865.768.775 j8^i_^3 ) 437.576.874 54. 694. 969 869.747.487 9^5.853.598 -_____9S6^92i 596.832.542 7.447.176 78.4S9 94.869.598 842.595.853 (466) 5. _966^. 987. 865. _746_. 7. 346. 974. 7i. 54.307 '•787.596 .995.984 884.569 .958.888 •735.894 ^469^952 ■654T327 •846.785 535:^2 74.952 785.874 289.289 347.667 •847.976 .964.624 .548.935 ■^56.907 ^4273^ .496.567 .787.896 087.674 874.325 •489.874 .678.978 .854.674 450.753 .674.829 .456.948 •854.674 947^815 76.S74 •768.959 .897.S64 974.678 ^ij^587 7S7.695 942.894 •426.876 •247.654 98.921 17 ADDITION. Exercise \X,-Canadian Currency. ^^//jx. Thus, the expression 8120 is read on, hundred hvefity dollar <:. Dollars and cents may be written together the cents .being separated from the dollars b^ a poi t I^hus, the expression S.5.35 is read .5 i/Jald exelTe's? ^' ''"''' '^''" '"' ^^^"^^^' ^'^^ ^^^^--"g 476. Seven dollars and twenty-four cents 477- Sixteen dollars and forty cents 478. Forty-seven dollars and sixty-three cents 479. Ninety-nine dollars and fourteen cents. 4«o. Eighty-seven cents. 481. Seventy-five cents. 4S2. Eleven dollars and eleven cents 483. Fifty dollars and twenty-five cents 484. Nineteen dollars and three cents ' 485. Fifty cents. Eighty-five cents. 4«6. Three dollars and fifty cents. 487. Sixty-two dollars and nine cents. 488. Thirty-seven cents. 489. Sixty-two cents. 490. Thirty-three dollars and one cent 491. Seventy dollars and ten cents. 492- Four cents. Eight cents. 493. Thirty-three cents. Five centa 494. One hundred dollars and f hre« --^n- In writing dollars and cents for the purpose of i8 ADDITION. Exercise XXI. Add (495) 824. 927. 552 + 637. 654. 674 + S76. 376 (496) 7.692.752 + 79.754.276-936 376.9S1 + 8.19S.396. 936.577-424 + 764.798.234. '52.753 + 906.874.967 + 3.433.899 (497) 875.927.404 + 784.6^ , ,, , ,„„..,^.y.,^ (498) 7. S54.254 + 9S5. 676. 376-t- 54.476 + 776. 649 (499) 476. 217. 824 + 376. 9S1+9S8. 765. 324 + 67 (500) 749. S27. 856 + 776. 874 + 97S. 594. 659 + 67 (501) 7. 827. 432 + 54. S27 + 9S7. 675 (502) 7-808 + 889.766.554 + 8 ,867 ■472. .989.37; ■372 + 899.466.754. (503) 456.S74 + 6.378.496 + 9S.S99 '34.251+977.407.307. (504) 578.907.007 + 423.569.456 .577 + 885.293.654. + 9. S23. 576 + 476. 354. 985, (505)456-258.987 + 76.898 + 5.789.5.^3 + 878.265.3, 506 7.417 + 7.376.453 + 96.543. 234 + 672.354.831 (507) 654.789 + 98S.472.925 + 6 (508) 25 347.227 + 40. 90S. 5-974 + 984-567.832 + 7.976.765+468.988.598 (509) 455-276.827 + 374.455 (510)796.487.825+4.754.954 + 92.236 (511) 54.336 + 452.576.345 +4. 9S7. 894 512) 576.476.823 + 79.417 + 64 934 + 933-821+9.837. 755) ■36 + 475.235.642. + 9S5.891.23 (5 '3) 452.376.824+1.364.7 3.217.895+897.988^589. ■95 + 89S. 987.885 + 856.676. 668.542 + 854.684.963. 14 56.234 + 984. 572.373+^79. _.^^_ M^'^f^'"°^ ■'^^•''7+4.376.825 + 896.269. 824. (516) 746.834.232 + 988.978.345+75. 576 + S9.452.372. •363.429 + 576.217.674. + 427.677.6S9+957.854.376 (517) 769.S27.405 +37.409.754+ 363 (518) 74.284.504 + 834.976 + 427.677 (519) 75.487.634 + 807.976.469 + 7S9 (520) 745.64S + 845.976.40S + 547.978 + 407.906.807. (521) 8.745.677+896.675+976.6 977. 6S9. 987 + 456. 807. 542 (522) 674. 816 + 47. 9S9. 745 4.344 + 854.954.956. + 57. 698. 579 + 984. S74. 769 523 435-649 + 89.376.874 + 497.694.587+74.654 (524) 45-608.425 + 906.425.679 + 849 806. (525) 832. 106. 6S7 + 219.36S. 306 + 864. 302.689 (526)901.830.193 + 832.602.632 579-S58 + 708. 754.376. (527) 99.213.310+760.367. 193 + 630 (52S) 34. 913 + 329. 131+438 + 9.028-^ (529) 4 (530) 6 + 33-291.836. + 392. 301. 683 + 3. 129. 632, 123.683 + 43.231,686. 907 + 74 432-103 + 831. 248. 916 + S32. 398 + 3. 0S9 + 704 ^^32. 912. 631 + 236. 863. 923 + 643. 286. 787. ADDITION. Exercise XXII, <53i) (S32j 674.359.S64 895-547-5 "7 88 7-24 '35-55 512. Add 826-45 ; $^yS 863-73 o; 870-67; 88'7( and $3-60 5n- Add 8135-10; 80- and i^^e h-6 7'25- 7; 8i8oo-oc 574. A grocer bought sugar for 8x9-26 ; coffee for •34; tea for $16-75; butter for $ 17-16 75 ; and eggs for 8475. What was the nis purchases ? : cheese amount for of toD^" andT '^'^7^;°^ -^^97-35 to C; 8960-00 ' ^"^ ^500-50 to E ; what is his indebtedness ? ADDITION. 21 566.) 78-50 51-63 j6-i8 203 ■576 I 18 3S7 r.75 036 169). 50S75 X)0'00 37-25 140-16 73-82 50-63 870; and SrSoo'oo ; coffee for ::heese for mount of 'f96o'oo )tedness ? Exercise XXIV. Add; (576) 235-789 + 854.756.276 + 876.254 + 6.307 + 76.287.1^84. (577) 896.709 + 4.707.852 + S5.796 + 4.347.0S9 + S22.054.087 (578) 650. 795 + S05. 367 + 425 + 6. 294. 727 + 87. 6!:6 + 975-585-482. (579) 377-49I-I56 + 876.775 + I2S, 478.536.984. 945-569 + 7-797.542 + (580) 654.807 + 7.476.924 + 234.487.839 + 76,454 + 854.759-875 (581) 95-474 + 293.569.865 + 9.867.564 709.078.497 + 354.207.851 + (582) 56-354 + 875.295 + 94.240.9S4 + 787.0S9.859 476.572.327 + {583) 744. 276. 30J + 5. 705 + 734. 123 + 342.476.751 + 897-679-74 /+/ (584) 745-650.807 + 79.089 + 750.607.984 + 7.824, 765.654.S07. (585) 376.742 + 676.484.976 + 7.854 + 819.542.057 + 524.506.492. ^ ^^ ^' (586) 577.045.624 + 422. 517.609.827. 253 + 751-974 + 8.852 + 9.545.754 + (587) 554^.07^7^+2.654.076 + 576.529.824 + 485.737.652 + (588) 2. 654. 827 + 349. 837. 450 + 51. 759 + 838. S45. 607 + 490.754-52 77-910 + 793-452-375 + (589) 654.717.821 + 96.751 + 854.6 989.885. (590)9-008 + 794.887.654 + 923.552.989 + 53.975 + 634-374-524- . ^ (591) '•675-781+873. 714. 654 + 934-652. 827 + 34. 752 + 9"7-°7"-974- (592) 677-094.854 + 937 + 687.924.877 + 4.607.889 + 946.879.789 (593) 53-754+768.779.467 + 357.653 + 924.546.27 827-937-651. ^ t jt / 4 + (594) 576.089.024 + 7. 790 + 987. 654. 37S + 378. 459 + 857-537-784 22 ADDITION. Exercise XXV. he^bL?'"'^ u "'" '' y^-^s of age, how old will ne De 36 years hence ? 596. Thomas not having written the 2c lines im- posed as a task, had them increased by x9rhow many lines has he to write? y . now 597. A bought a farm for $3426; B bought one at a cos of $1248 more than A's farm. Ho^ much did Bs farm cost? How much did both cost? 598. Gave $325 for a horse, .$275-50 for a carriage, ^75 75 for a harness, and $20-62 for a roDe wLt was the cost of the whole ? • » v nai 599. Bought a pair of boots for $8-50, an umbrella Zt Y T f^'""'"' ^°^ ^'"^5, some collars for «o 75, and a hat for $4. What was the whole cost ? 600. I have four bills to pay: the first^of $1405 • tTZ.^f''''V ^^^^^'^d •^96-15; and thefourth •^798. What sum do I require to pay them ? 601. A cer.ain sum of money was divided among three persons .- the first received $65 ; the second .$26-3omore than the first; the third $32-10 more than the second. How much did each receive, and what was the sum divided ? 602. The hind-quarters of an ox weigh 390 lbs. each; the fore-quarters 3.5 lbs. each; the skin 97 ibs^; and the suet 95 lbs. What is the weight of the 603. How many years elapsed from the taking of iroy, which occurred 11 84 years before Christ,"'till the year 1893 of the Christian era ? 604. WriteinRomannotation:589,462, 1893,4004. ADDITION. 21 !, how old will 25 lines im- by 19; how bought one How much h cost ? 3r a carriage, roDe. What Exercise XXVI. I Add the following : (605) (606) {607) .)2686 95699 69274 '"^4355 98683 6S778 93972 48437 93864 38276 95357 84583 52196 38865 27987 27219 87677 56296 62633 88843 83877 53849 87867 74747 42927 67685 42929 (608) (609) 54644 8379S 83826 37696 37799 71655 76748 48874 37898 4S962 93467 34249 59848 76244 93838 37298 44244 97268 (610) 27781 88834 77678 79638 18349 6384S 87728 96287 62387 an umbrella le collars for s^hole cost ? st^of $1405; id the fourth !m? ided among the second >32'io more eceive, and h 390 lbs. he skin 97 light of the e taking of Christ, till 893, 4004. (611) (612) 88386 82528 63962 4S382 96659 27762 5S386 39297 44846 (617) 87384 39297 92976 25575 63837 34749 37244 5279s 28769 83772 63965 43272 96284 89397 63928 78988 38789 86757 6s8^ 86292 63929 (618) 64469 69353 77497 73378 96437 96675 28376 58978 35846 34727 95797 26639 (613) 98677 2373S 87679 27877 83986 89765 629S5 58387 22465 (619) 37574 29629 58096 36976 87687 42126 46636 76S76 79338 549^3 9S976 92767 (614) 64385 84944 83743 38297 48623 84816 34467 57516 45676 (620) 95997 56289 46634 62875 68787 37453 84795 62133 58472 96939 86677 82586 (615) 97724 38376 39228 84691 76988 4S694 53489 54977 94197 (621) (616) 65939 26935 38567 39624. 94637 43828 33898 66738 67496 (622) 96786 46248 37936 386S8 28674 97874 74762 56426 85494 85729 78584 97976 85S78 366S2 79336 £5729 98777 29567 38979 75875 86^93 83458 4S2S6 67937 !> ^"^ ADDITION. Exercise XXVII. 623 There are four classes in the school. In the first class there are 48 pupils, in the second and the third 36 each, and in the fourth 32 ■ how many in all ? 624 A farmer raised 1850 bushels of wheat, twice as much rye, and 635 bushels of corn more than of wheat and rye; how many bushels of grain did he raise in all .? ^ 625. A gains in one year 875 dollars, B gains 234 dollars more than A, and C gains as much as A and B both ; how much did B gain ? how much did C gam ? how much did they all gain ? vNo.th 806 dollars more, and a store worth 6qs dollars more than both ; what was the value of the wood-lot? of the store? of all three? 627. A man bought two lots for 2850 dollars each • and in selhng them he gained 356 dollars on the first' and 297 on the second; how much did he gain on both? How much did he receive for both? 628. How long a cord will it take to go around a garden 386 feet long and 289 feet wide ? 629. Find the sum of the three numbers that can be expressed by the figures, 9, 9, and 9. 630. Find the sum of all the numbers between 1593 and 2107, both included. 631. When Willie was born his father was 3 c years old h.s mother 27. and his grandfather 75 ; what will be the sum of their ages when Willie has completed his 2 1 St year? ADDITION. 25 hool. In the ;cond and the i^ many in all ? ' wheat, twice more than of grain did he B gains 234 ch as A and much did C s, a wood-lot 1 695 dollars le wood-lot? ollars each; on the first, he gain on h? ;o around a rs that can s between ■s 35 years what will completed Exercise XXVIII. 632. The first of three numbers is 398, the second is 134 more than the first, and the third 825 more than the second ; find the sum of the three numbers. 633. A drover lost $957, and had $5690 left; how much would he have, if instead of losing, he had gained 6957. 634. Begin at 324 and find the sum of all numbers to 337 inclusive. 635. A widow at death left her property to her three sons and two nieces. The eldest son received $3,050, the other two $2,025 each, and the nieces $1,050 each ; what was the value of the property ? 636. Find how many bushels of grain raised on a 5o-acre farm in 3 years : First year— It produced 475 bush, peas, 389 bush, oats, 795 bush, wheat, 659 bush, barley, 174 bush. rye. Second year— It produced 428 bush, rye, 548 bush oats, 638 bush, peas, 219 bush, wheat, 269 bush, barley Third year— It produced 169 bush, wheat, 375 bush, rye, 875 bush, oats, 653 bush, peas, 378 bush barley. (First) How many bushels each year ? (Second) How many bushels of each kind of grain in the three years ? 637. The produce of a dairy was as follows : Week. lbs. Butter, lbs. Cheese. Qts. Milk. Qts. Crearn. I St 478 589 979 S67 2nd 963 764 688 578 3rd 895 395 765 489 4tn 709 350 goo 356 Find the quantity of each for the four weeks. 26 SUIITRACTION. lErrrdsr.^ in ^nhtxactmu Exercise XXIX. (0 729 41/ (20) 995 1(39) 948 1(58) .__747 I «S9 (2) 632 (21) 45, (4or752l(597" 804 1(77) 705 22) 762 , 42S_ (4) 748 (23) 853 -534^1 734 (41) 749 573. (42) 852 474 479 24) 974 (43) 577 847 (II) 721 513 (25) 85s _J48 (26) 972' -— 7_29_ (27) 681 168 (28) "774 405 29) 565 457 (•3) 733 ___3i4 (14) 847 1(33) 84/ 629 I 368 30) 726 418 209 (44) 6Sj _491 (45) 707 _493j '(46) 576 1(65) 297 I __ (66) l(8o) 755 264 (81) 85; 249 (47) 574 247 (48) 698 299 (99) 459 —- 2J7 (100) 674 ___287_ (101) 842 _376 501 (30 523 354 (32) 745 254 I (49) 764 292 (5o)~94l 654 (85) . 964 256 (102)479 ~~J9JL ;''^-'3)874 .1 397 (86) (51) 675 289 ^'5) 952 (34) 335 734 I 147 (16) 864 1(35) 475 , ^0 ?87 ■<^7) 767 1(36) 617 ^548 429 (18) 97V ~ 422 (52) 784 — 395 (53) 875 697 (87) 678 499 (88) 854 , 375. (70) 946 (89) 456 278 (71) (90) (72) IS) (116) 454.565 7-374 (117) (118) 645.742 __S-525 478-754 97-125 249.764 87.125 :i36) 455-3'o 8.474 '37) 478.726 459-435 88.578 (138) 747-207 — ^Il745 134.207 _ 70-709 450.007 62.ot)i; 1(178) 27 456.874 399-612 ,('79) !(i8or 1 1 19) 487.654 298.047 (120) 405.425 216.217 (139) (T40)"" 1417 7.565 !( 160) (121) (122) 426.790 79-179 426.542 179.127 (123) 845.472 478.304 (142) (143) 45 7 -56; _ 89. 798 245-751 72.984 547-422 J68^ 246.745 68.976 456-785 '37.097 347.854 79-678 345-654 174.876 (181) (i6i) 7 897-954 541-378 740.090 471.077 (124) (126) 658.765 279.00 7 457.421 i78^i75 345 . 745 279.276 (144) 457-595 68^97 238.475 J 77. 987 475-647 92^78 256.456 74.179 767.405 _409j876 870.050 -Z57_ii47 700.707 _299^89 .357.074 196.407 907.454 708.^96 897.452 508.578 654.087 87-659 (127) (128) 456.678 146.578 (129) 347-123 274.075 ('30) 847.547 457.424 147) (IW 678.407 93.218 476.277 197.689 645.444 452.079 1(186) 847-054 159-879 (188) 854-087 98.498 645.983 539-395 (149) 780.705 90.877 (131) (132) 457.424 '78.175 477.853 _i87.485 478.727 289.356 457-427 289.268 375.147 196.078 (ISO) 879.425 94.177 ('5') 789.852 49.776 750.007 _467^59 857.217 798.478 (189) 735.942 J49.685 {170) 577.405 198.576 476.007 84.539 152) ('35) 967.435 76.546 ('53) ('5~4y ('55) 458.075 11:497 878.045 -A5J79 784.725 97.857 704.555 -I7S1697 347.257 '79.879 (190) 921.356 259-498 ('9') 563.492 396.307 455.606 179.808 ('56) 357-117 87-779 564.022 82.107 (176) 756.374 -457^495 697.899 308.849 (192) 452.763 393.298 (193) 921.465 737.978 ('94) 586.461 397.289 (195) 359-854 204 . 905 (196) 639.783 542^966 884.926 739.768 (197) 640.863 376.2S9 (177) ?46.879 500.899 (198) 632.653 354.966 649 . 326 593-874 aS SUBTRACTION. 43 : 14 67 24; 15; Exercise XXXI. 199-^ Subtract 5 from 6; ,6 ; ,6 ; 36 ; 46 ; 56 ; 66 : 70 ; 06 ; 96. ' 200. Subtract 4 from 14 ; 44 : 2^ : 94 : 84 ; 64 ; ^4 ; 34 ; 74- ^ ^^ ' 201. Suotract 7 from 13; 33; 23 64 ; 74- 202. Subtract 9 from 18; 28; yS ; 97 75 ; 85 ; 12; 62; 42. 203. Subtract by threes from 29 to 2. 204. Subtract by sixes from 45 to 3. 205. Subtract by eights from 79 to 15. 206. Subtract by twos from 63 to 1. 207. Count by frves from 6 to 46 and back again. 208. Count by sevens from 9 to 72 and back again. 209. Subtract by nines from 100 to one. 210. Subtract by fours from 83 to 7. 211. There were 16 persons in an omnibus. After 5 got out, and 3 got in, how many persons were then m the " bus "? 212. Richard had 27 marbles. He won 19 and lost 7 ; how many had he then ? 213. WiHiam had i cent and his Uncle gave him 8 more. How much doee; he still want to purchase a pair of skates worth 79 cents. 214. James is 14 years old, Emma four years older and Jessie 7 years younger than Emma ; how old are Emma and Jessie ? 215. What is the difference between 16+ n and 2 4-8? 216. What is the difference between 8 4- 9 - 4 and 7+5-3? 217. James bought a house for $2,750, [ohn bought one for $775 less than James' ; how much did John s house cost ? how much for both ? ;4^M 56 ;66; ■ = 84 ; 64 ; 54 ; 43 ; 14; 24; 97 ;67; 15; back again, d back again, ne. I'nibus. After ns were then won 19 and cle gave him o purchase a r years older, how old are 16+ II and 5 + 9-4 and ;,75o, John )w much did SUBTRACTION. Exercise XXXll, (218) I219T 454-540.736 8.899.987 457.652.478 49.876.579 (220) 484.865.432 292.976.974 (221) 25^ -895 -454 4.947.872 (222) (223)" 697 -345 -954 89. 897. 795 754.674.894 64.834.795 (239) 45S.300.070 28.412.391 (240) (240" 759.400.007 7i.-9°o-_749 457-432 -9X7 79.941.769 242) 348.754.320 279.922.476 (224) W25T 7 53- 807.954 857.995 (226) 764.675.790 275.987.899 507.895.954 407.984.S76 (227) (72^ 400.746.807 200.837.984 451.900.797 7. 191. 989 (229) (230) (231) 345.807.904 176. 943. 745 542.600.741 _-^i_723.545 820.470.015 , 554-376 243) (2447 879.765.833 19.837.692 824-505.937" 9.43 6.379 245) 705-454.377 7.792.198 !(26o) (26IT (262) 99 657.462.024 _.Z9i834.oi5_ 457 .804.356" ^ 65. 907- ' 27 867.491.234 91.374.927 (263) 474.827.456 82.456.622 (264) 737.576.824 75.954.942 (246) (247) 247.400.824 83.291.817 879.457-651 97.780.079 248) 678.453.001 94.567.007 249) (232) (233) 810.847.065 614.896.874 427.476.9S7 177. 191. 989 (234) (235r 649.405.067 -579^647. 1 89 698. 546. 204 509.678.977 (236) 274.007.304 .. 92. 129.405 (237) 746.007.504 8-00 9.715 (238) 418.030.450 27.746.761 (250) (25T)' 457-893.453 _9_-594-327 458-745-976 179.970.069 104.007.852 72.876.194 ;252) 567-534.852 72.876.194 '253) (254r 478.754.906 9J472.674 678.476.501 89.497.354 (265) (2667 (2677 (2687 (26^ (270) 645.479.846 ^493.-79J-._797. 784.500.743" 563.712.597 875.674.745 94.789 . 824 389.370.045 __ 489 - 1 54 745.874.320 97-905 -483_ 657-453-854 69-791-563 (271) (27^ 874.807.790 _ 65.910.047_ 917. 007. 001 45-124-375 (273) 563.944.325 9.763.S2O 274) 255) 437.900.012 78. 900. 017 (256) (257) 405-234-542 _13:_9_12^79_ 746.547.903 61.472.991 763.452-931 375.973 ••66 (275) (276) 842.156.532 695 .783.789 603.766. 102 .^,78.389.638 127?; (2"787 680 . 002 .313 _9.369.858_ 863.092.637 j79.8S8.789_ (258) 587.847.007 1(279) 537.621.664 94.958.098 (259) 547-870.047 4-951.739 9.876.S36 (280) 303.653.762 298.574.947 if 30 (28i) 847.653.454 . __Z4j375j179 (282) 850.070.452 ____97j05o^65£ (283) 475-364.378 . ?97.273.4S7 (284) 546.807.575 _^77-45^.794 (285) 653.405.995 476.294.4 74 956.753-794 6^7£.:404^954 677^454^854 495-647.562 789^54377^ 497^319.-357 676.527.528 424.709.798 SUBTRACTION. Exercise XXXIII. 1(302) 564.079.758 ^5^187.976 (303) 753.097-507 ^_i94:289^778 (304) 400.075.5,^^ . — ___93i4521i897_ 1(305) 534.S57.678 ___472^_789^756_ (306) 450.007.546" 40-079.452 487-054.554 98.047. 77^ (308) 475.907.754 69^419-548 '8 (309) 1(310) (290) 844.565.647 753-676.5 75 905 . 207 . 246 _746^5_^72 797.542.240 8.765.576 (291) 877.456.756 ____398^298^575_ (292) 956.875.587 _____764^697^75£ (293) 764.927.074 676^489^572 896.467. 756" 97-964.847 (312) 574-554-247 59-676.452 (313) 468.207.427 __9jlZ24i554 (294) (314; (295) 984-375-578 _678.227.754 (296) 950.076.074 475-207. 4';4 (297) 477-275-750 189.719.7 :;£ (298) 375.427.587 . 189.719.754 (315) 754.007.454 679.005.76 1; "954^8^5^" _677^469v579 (316) 432.700.769 71.904.257 (299) 456.700.750 45-612.495 (300) 476.227.487 247.624.756 650.079.059 479-084.76 4 (3^) 453-0077426 276^499^449 837.040.056 4-134-567 977.405.370 ^Si524^790_ 456.954.827 _377j 472 -9i8_ 752.3477824 __23:259^ 974.500.700 -93^135^945 976.453.876 455.^972^395 839.457.354 745^689^5 586.874.250~ -27i293:47S_ 846.977.605 7.884.996 875^^459^805" 97.140.976 847765^17976' 39^787495, 984.700.064 _7M75:479. 654.8'567977~ 7i_9A5_:437 966.535.592 5.846.785 942. 469. 95 2 7.495.236 (338)" 987.654.327 3.735.894' 975.076.024 584.839.752 400.700.007 _203.405.604 (339) (34o)~ (34ir ?21 456.884.569 767.45 4_ 677.958.888 4^9. 78 7,596 748.995.984 687.543.753 987778^.874" 746.347.667 (301) 876.007.054 1(322 798.435-495 23) ^n 95 24) 456 -5) 752. 11 046 7 ) 875 97 ) 847 i2 984 76 .405.370 v504^790_ •954.827 •472^918^ 347^824 i59i677_ 500,700 i35j945 453.876 972^395 ^F-^54 689^35^ 874.250 P93^475_ 977.605 .884.996 459^805" 140.976 654T976" 787^495. 700.064 _9_75j479_ 8^67977" 965^37_ 535.592 846.785 942 7 987 3 •469.952 ■495.236 456 654.327 735.894 677 748, 687, 987 746 884.569 _7£7H;54_ .958.888 :" J7^596 995.984 543.753 865 46 •785.874 •347. 667 289.289 654.307 974 346 •548.935 .964.642 SUBTRACTION. Exercise XXXiV. 31 344. From three hundred and four, take two hun- dred and ninety. 345. From four hundred and sixty-three, take three hundred and seventy-nine. 346. From nine hundred and twenty-seven, take four hundred and twenty-two. 347. Take four hundred and eighty-three, from seven hundred and forty-seven. 348. Find the difference between eight hundred and fifty-six, and four hundred and forty-five. 349. How much is seven hundred and sixty-four more than three hundred and forty-nine ? 350. From three thousand seven hundred and •eighty-two, take nine hundred and sixty-three. 351. Take twenty thousand and fifty-four from seventy-eight thousand seven hundred and eight. 352. From 38 thousand 409 units take 129 thou- sand 690 units. 353. From 4 milHon 17 thousand 307 units take 687 thousand 609 units. 354. Find the difference between 29 million 93 thousand 4 units, and 18 million 97 thousand 45 units. 255. How much is 37 milHon 89 thousand greater than 28 million 700 thousand 59 units. 356. Subtract 73 million 49 thousand 36 units from 987 million 85 thousand 600 units. 357. What must be taken from 996 thousand 476 units to leave 78 thousand 49 units ? 358. How much does 29 million 276 thousand 409 units exceed 5 million 49 thousand ^^% units ? 359. Find the difference between 987 thousand 486 units, and 99 thousand 79 units. 360. From 123456789, take 98765432. 32 (36i) 764.907.050 - 87.929.795 (362) 346.176.007 78-487.87 8 (363) 656.450.054' 78.677.091 (364) 376.570.005 {sSsY 8 7.745. 15X (3(^5) 752.475.754 89.787.950 (366) 897.450.070 98.776.095 SUBTRACTION. Exercise XXXV. 1(382) 258.542.070 1/ 74^4-^7 1(383) 489.476".376 I .4.J^7^3 (384) 478.454.851" 9.589.975 467.465.754 ^•234.975 423.750.500 56.879.750 356.842.250 _47^974j745 754.754.701 37.679.252 (370) 267.475.750 79.797^9 7S (37^) 764.704.331 ?7_^957^7^ (372) 465.742.502 7^^9o8^^075 (373) 787.654.556 .^ 98.^ 98^254 (374) 576.427.970 ?9^55o^957_ (375) 347. 495. 5?- J 79.789.756 (376) 654.6^^7^ -_____23j475^766 (377) 843.276.755 ^— _27i787^ (378) 357. 402. 514 69.776.7 j6 (379) 548.757.050 69.899.769 748.769.456 .^Z9i4^9j759 567.476.084 ^77^988 .j^ 476T435.525 ^__£^5^489^S75 '(389) 3787989:^17 ^89.471.875 (390) 267'T5"76.723' 189.487.695 (391) 641776:57^ __^i7^l37M76_ (392) 717.425.556 —458^764^757 (393) 625.760.454 576.918.976 870.079.043 £^9^789^958^ 645.652.502 £7^^794^741 578.576.520 289. 709. 769 874.276.755 _94^769^576_ 784.529.024 _25i947:354_ 477.435.303 976.007.454 _48^943j775_ 798.344.542 _i4^2^756_ 477.456.723 .. 98.748.809 78975767534" -99^7^7.357 549.876.555' Jj_957^j46_ 742.576.853 ,£7 9.407. 07 4 764.007.257 _97^042^549^ 877.574.992 _98o47^257_ 754.252.546 ,272^^89^756^ "25876777901"" 22.861.365 487.854.523 ____£98^9^5^428 (398) 789.706.542 99^179:7^5 J (399) 476.407.355 7:984^075^ (400) 159.427.742 _7_4.796.4'56 308.625.947" _J1l^£3^3 498.765.386" 24.681.347 976.425.344 JIl492-Ji3_ 425.432.630 __56^3£0^529_ 253.779.388 24.567.293 252.734.912 359 |(403) 874 '(404) 784 95 1(405) 477 58^ (406) 976 48 (408) 477 _98 (409) 789 99 A^o) 549 8 4ii)~742^ — — iZ9 412) 764 ^ 97 413) 877 _98 ^I4) 754 272 22, 16) 308 35 17) 498 ^± 18) 976 -II f9) 425 56 0) 253 24 1) 252 . — r .276.755 769^^76_ 529,024 947^54_ 435.303 o^7_i?95_ .007.454 943^775_ 344^542" 19ii756_ 456.723 748^8o2_ 576^53^ '7^7^357 •876.555 ^957^546_ 576.853 4£7;074^ .007.257 :^M2j^49_ •574-992 l347^257_ 252.5"46~ _i89^6_ 674.901 .861.365 .625.947 623.253 _ 765.386 68£^347_ 425^344" 492-513 432.630 310.529 .779.388 .567.293 •734.912 •558.369 2) 460.633.497" 3 1 3 ^345^2 7_ 3) 3677704.948 345.696.359 SUBTRACTION. Exercise XXXVI. 33 Find the difference between :— (424) (425) (426) (427) (428) (429) (430) (431) (432) (433) (434) 84629348 and 791207 (435) 66277S84 and 874992 (436) 73928445 and 829106 (437) 5S217962 and S31097 (43S) 82019065 and 729196 (439) 99792943 and 493268 (440) 65377427 and 829176 (441) 99684997 and 912938 (442) 84291769 and 591261 (443^ 42916387 and 638179 (444) 98639472 and 747916 (445) 87210963 80206042 92060031 70510610 62694372 45789367 93914726 40097684 82776288 91284367 73829159 and 928727 and 879S67 and 498989 and 817998 and 621918 and JS9107 and 982083 and S10929 and 921708 and 738109 and 291634 Exercise XXXVII. Find the value of : (446) (447) (448) (449) (450) (451) (452) (453) (454) (455) (456) ,5768243738 8136052217 1324192162 4291632091 5219062802 2191063847 8129634258 5210628379 4103827628 1291329104. 4216382910- -6547S53 - 1 20307 1 -3131235 - 7424361 -1517281 -3219168 -1 591 809 -4270962 - 5290638 -2170386 -3821627 (457) (458) (459) (460) (461) (462) (463) (464) (465) (466) (467) S218274431 4129381464 1309270463 35229364S3 3S64389712 6327649368 4963946322 4290681929 1210620003 • 5912931462- 4372681054 - -9558294 -5210698 -S217146 -9272467 -4193624 - 2436248 -4321098 - 1817099 -6173847 - 8900629 -6218367 Exercise XXXVIII. Find the value of : (468) (469) (470) (471) (472) (473) (474) 82625 + 8492-7158 49387 + 6215-4392 38279 + 5877-6886 70583 + 6218-9229 46284 + 3747-8998 58396 + 8424-7487 79394 + 9296-8447 475 87279 + 8557-6638 (476) 46193 + 6219 -9166 (477) 97862 + 8976-3928 (478) 32182 + 8379-6284 (479) (480) (481) (482) (483) (484) (485) (486) (487) (488) (489) 63761 52515 48473 93918 53588 74462 67347 93972 89726 37194 81327 - 4208 - 8006 + 1621 -3S24 -3814 + 6888 + 8177-6204 -6217-8109 ■ i- /~i - jIO/ -8392 + 4841 - 5962 - 8954 -4924-3276 -8219 + 6389 -5936 + 2714 if I 34 SUBTRACTION. 490 491. 492. 493- 494- 495- 496. 497- 498. 499 500 501. 502. 503 • 504. 503. Exercise XXXIX. From 7280396895 take 262809749. ■ F n"d h:r °'''l^^^' ^^^^7- 386 and 796S. What must be added to JL tJ^.v How much is 80276 ^r.o^<5 ^^^9 + 564. Add 7869 to th. d ffetenc' 1 T'^'' ''"" ''''^ ' From the sum of S ^ 'f ." '^^^ ^"^ ^^• Find the value of ',1 V^^! ^ ^^^^^ ^^^> ^ ^ ^ ^ + 97 - 84 - 36 + S7 _ 82. Exercise. XL. 506 507, .50S. 509. 510. 511. 512. 5^3- 514. 515. 517. 518. 519. 520. Take 2S372945 from 927286795 From 921706934 take 48397298. Subtract 841093767 from 9821900603. How much less is 99999 than xoooooP By how much does 2683715 exceed 4x7002 p • -rrom the sum of -rnrSys o„^ "4^092 .■' From tho ^T ^^ "* "'^ 7954 take 9309, SUBTRACTION. 35 Exercise XLl. 521 Purchased a house for 816787-99 and sold it lor .M«ooo-oo ; what was my gain ? 522. A and B began business with a capital of .fi6ooo-oo. If Aput in $97i373i what was B's share or the capital ? r/^^^^"'!^"'^"^^''^"^ •^3800-25 in bank, drew out .^687 1 ; how much has he remaining in Bank ? 524. A merchant in one day sold goods to the amount of $361570, and thereby gained $963-80. VVhat was his buying price? 525- How much must be added to $675-38 to make It •ifiooo r 526. A man with $roooo cash invests in the dry goods business, paying $567375 for the store and $2987 tor the goods ; how much cash has he left ? 527- If a man receives $150-00 per month, and pays $32 for provisions, $16-75 for clothing, $.0 for rent, and $19-67 for sundry articles ; how much will ne be able to save each month ? 528 A farmer sold hay for $1615, vegetables for $16 75, andacalffor $18-50. He received in payment butter worth $6-io, flour worih $7-95, and^he re- mainder in cash. How much cash did he receive ? of i'%/" auctioneer received furniture to the value of $7864, which he auctioned off in two lots, one for $462075, and the other for $3000; what was the loss on the furniture ? fn Ha ^ ^°"^^f "" P^''^^ ^""''^^ ^°^ '^620, a harness tor $60-50, and a carnage for $300 less than I paid for both horses and harness ; what was the cost of the carriage ? ! ,1 'Is i r 36 Find the value of: SUBTRACTION. Exercise XLII. (531) '^834 + 2795-3628 + 6270- 302 - 65 + 765 79-5916+3819 + 596-32735 + (532) 97396 + 2075-76394-62 02197- 1091. 7+3862 -I9I2 + 5S6- 738 1 + 31027 -12345 ■2I3716 + (534) 79218 + 6397- 5S16- 27 + 3S72- ■32-76 + 21 -470-3S9-62 + S1765 (335) 86279 + 38174-5010-6271 + 3S97 49147-3102 + 56. ^ ^^^ (336) 78382 + 37291-1070-62 + 4701 -362-2107 + (537) Si 62 + 306 -27 I loi 7o-62i3 + 5878 + 392-7c,6-4i78: + °3SV^'-T,rf-^'-°^^'^' + «^97-6o6.;4 <538) "^-f 4-8o6,-3.,o+;6,, .S99;+6.3 + 8- '29 (539) 92603 + 6817-376-489 + 3496 726+304 (540) 42S904 + 9237-3424-852-65 (541) S309679 + 87067 + 6937- + 4209 + 63796-381 + 4982 - 905 + 5S02 -309. 301054 + 763859 + 728-31046-4967 =^^^^^'3?2r-^6r.«.^^^^^-3-79 + 56954 39294 -67- 98 + 37294-763- (543) 97437 + i62o8-362ic + 627iQ + ^,r^ + 670+308-1010 ^^"^^''^"" 3^78-4762 + 37 (544) 827S67 + 38769 -41628 -3 -3216 + 5637 + 8217 + 3102 + 563 + 76-900-46. -^ ^'"■^^^^"'7 + 3102 + 14 (545) 68394 + 20069 -■21027-41020 a. ft^S , ^ 3691. ^ -^7 41029 + 678 + 396-504-363 + (546) 81427+39208+62 -27-94 17-4192+6978-4217-327+68981 ^'''^^'X^!?/_^.f -32x7+3897-276 (548) 92 3609 - 58 - 96 + 589-3214-39 + 'Itrf'i^t: 39486 -5862x389 + 678 + 769 + 345 (549) 94238 + 46892 - 432 + 789 7& + 792 - 3S4 - 82 + 904 - 602 + 90807 - 705 . SUBTRACTION. Exercise XLIII. 37 '-32735 + 86 -7381 + 213716 + '2 + Si 765 2 -2107 + -41783 + 606274 - f-8729- -381- 52-309. i-4967 - 763 - 52 + 37 )2+I4 36S+ 68981 -39+ 1-82 550. A shipper had 1689 bush, of wheat and q6? bush, of oats. He sold S90 bush, of wheat and 478 bush of oats ; how many bush, of each remained unsold ? 551- If I had 8245-50 more, I could pay a debt of 5b645-5o and have 885 left ; how much money have I at present ? ^ 552. P has 300 sheep, M has 145 more than P, and has L?^^ "'^"y as the other two less 117 ; how many 553- George bought 434 cords of wood for 82170 and gave m payment 1500 lbs. of salmon worth 8144' 700 bush of potatoes worth 8210 ; how much is yet due on the wood ? ' . ^^t ^^ '-t'?^ boxes there are 1435 oranges which cost ^25. The first box contains 240 oranges, the second 80 more than the first ; how many oranges in the third box ? j ^ 555- A grocer bought four boxes of cheese for 84? There were 85 lbs. in the first, in the second 76 lbs . m the third 63 lbs., in the fourth as many pounds as would make a total of 300 lbs.; how many lbs. in the tourth box? 556. The printing press was invented in A.D. 1441 and gunpowder was dicovered iii years before ; in what year was the composition of gunpowder dis- covered ? = r- 557. The Emancipation Bill became law in A D 1829; how many years since to the present A.d' 1893? 558. The distance around the earth is 24899 miles around the moon 6786 miles ■; what is the difference between the circumference of the moon and that of the earth ? if ii 38 SUIiTRACTION. Exercise XLIV. »nd by how many feet " ^ ' '''""'> '^ '^e t„gher, cen'fs'- ^''"'' 'hedifference between ,59050 and 86843. «hit1s tle^n™::'?^ " ^°^ ■' ""= '""'-''"'d .568 J 563- The minuend is rors^r^^^ .u 9843^9; whatisthesibtrahend ' ^^'^^^'"^er is. to matel^sT"' ''"^^ ""^^ ^^ ^^^^^ to 308 cents 565. Cardinal Newman died in i«no s! age ; m what year was he born ? ^ ' ^ ^^^'^ °^ 56^- Alfred the GrPTf a\^a ■ --e .e,„ed ., y^e^f, t'tC y'^ aTdle^S 567. From one milhon take nine. he^gaVtrSsoldS'LoXlt^or^ ^"^=°' '-''^ youngest brother :98.'rr Ho'.^Sh^S^h^-ef';! how much has jllVZ^ htU^^ha^eS-/ MUI.riiM.ICATION. 39 Mount St. le higher, ooo to an emainder eceive? i 868432 d 2568 ; linder is >8 cents 'ears of ' years, •ecome. land ;, to his i left ? alued owes 1162. ?3.vrrrisrs; in i-BultipUcation John [cR.; oth?' Exercise XLV, (I) 112 I (20) 476 (39) 4 407 7 (58) 824 2 (77) 749 4 (96) 767 6 (2) 113 2 (21) 763 (40) 5 839 8 (59) 347 3 (78) 876 5 (97) 975 7 '3) 123 3 (22) 379 6 (40 987 9 (60) 947 3 (/9) 768 6 (80) 789 7 (98) 437 (4) 124 4 (23) 245 7 (42) 676 2 (61) 654 4 (62) 842 5 (63) 762 6 (99) 842 9 (5) 215 5 (24) 566 8 (43) 436 3 (81) 769 8 (100)954 2 (6) 902 6 (25) 827 9 (44) 927 d (82) 879 9 (83) 456 2 (101)375 3 (7) 714 7 (26) 940 2 (45) 875 5 (64) 452 7 (102)845 4 (8) 707 8 (27) 623 3 (46) 464 6 (65) 764 8 (84) 789 3 (103)674 (9) 416 9 (28) 454 4 (47) 276 7 (66) 874 9 (67) 765 2 (85) 876 4 (104)347 6 (10) J45 2 (29) 567 5 (48) 769 8 (86) 456 5 (105)576 7 (II) 346 3 (30) 874 6 (49) 477 9 (68) 687 3 (87) 768 6 (106) 876 8 (12) 276 4 (30 367 7 (50) 695 2 (69) 454 4 (88) 476 7 (107)765 9 (13) 307 5 (32) 453 8 (50 989 3 (70) 784 5 (89) 347 8 (108) 971 9 (14) 406 6 (33) 842 9 (52) 549 4 (70 367 6 90) 8S9 Q (109) 535 2 (15) 547 7 (34) 769 2 (53) 854 5 (72) 489 7 91) 789 Q (no) 639 3 (16) 876 7 35) 847 3 54) 287 6 73) 789 8 92) 470 2 (HI) 726 4 (17) 426 9 36) 564 4 55) 482 7 74) 8q7 ( 9 93) 674 ■J 5 [112)68?, s (18) 289 ( 2 3/) 564 5 56) 673 8 75) 756 2 94) 873 4 113)476 7 (19) 564 ( 5 38) 379 57) 452 ( 9 76) 676 ( 3 95) 453 ' 5 1 114) 689 9 MULTll'LlCAllON. 41 7^^ 975 • 654 6 *9) 907.075 7 '") 57<^-04c 63.506 Exercise XLVIl. v 5 ; how md for he rest ction ? each, 5'5oa what MULTIPLICATION. Exeriire XLIX, 4i (274) 213 '(295) 386 1(316) 750 10 I U7S) 75/ 719 II (276) 324 12 (277)426 13 {278) 529 14 <279) 633 _ >5 (2^) 735 16 [23ir54o" }1_ (282) 245 _ 1 8 U«37 754^ i9_ (284) 456 20 <285)"359 21 ^3L 1296) 487 32 (297) 592 33_ 298) 697 ^34 299) 775 35 (317) 747 53 (337) 9H7 73_ (33«)674 74 (318) «7 54 300) 184 3^^ (301) 355 37 (302) 977 38 (303) 344 39 <286) 564 22 (304) 359 40 (305) 371 (3»9) 870 55 (320) 807 56. (321) 940 521. (322) 957 ^58 (358) ¥>Ar (339) 84s 75 (323) 907 ^59 (340) 976 76 (34O 743 77 {342) 876 _^ 78 (324) 475 60 (325) 654 61 41 (306) 405 42 (287) 167 (288) 568 24 (289.) 669 ?5_ (290) 871 26 (307) 470 43 (326) 876 62 (308) 487 ,44 (309) 505 45 (310) 590 46 (291) 976 (3") 539 (202J 477 28 (293) 87S __ 29 (294) 984 30 (312) 625 48 (327) 956 (328) 437 64 (343) 769 79 (344)357 80 (345) 487 81 (346) 689 82 (359) ' 5;«s. a «««3. a bag ; ho. m^cr„ri p^ffofa,??"*^ « Ma'n'i?oba, hTdtlrso'SMl?- ^""^^ "^ '^^ '" less 125 acres, and his broeht , , T-^' ^""""y »"es both less 4827 acres W „ ^ ""'^' ^'^ "any as man buy? ' ' ''°" ""^"y acres did the last at $12 a barrel and the rL, f '^ ^5 ''''"■'■'^'^ °f 'hem much did he gain or loser ' ^^ '■" '''•'"'^' ' ^"^ «i"r'' A?'"T ""'"='■ earns daily ,«,-,, . , ■ v -.1 20, and his three sons .?o-6,- etch -I,' ^ ' '"! "''^ he lay by every week the A„i ' ""^ '""di can being ,?2-68 ? ' ' '"^ '"'"'J' expenses of his family MULTIPLICATION. Exercise LVII. 3 time, one > if they sail hey be in 6 'chx8t24, how much . approach an hour; 5urs ? t 57cts. a 3tatoes at ? money = ^ have I > and a 3VV much land in "y acres many as the last rrels of of them el ; how lis wife ich can family Find (758) 532 422 514 424 742 435 446 741 445 45° 980 642 432 927 849 219 196 276 972 355 686 the squares of the (759) (760 442 344 434 332 441 324 346 224 324 746 739 974 6S5 867 843 677 867 357 437 683 699 944 235 224 414 232 723 822 244 342 941 430 357 432 927 747 879 299 987 583 867 778 279 following (761) 644 535 624 414 505 555 454 556 572 555 762 192 462 342 938 598 934 878 767 378 638 546 numbers : — (762) 824 ^33 674 656 464 662 95^5 049 636 626 287 438 457 726 729 624 424 896 887 165 769 379 Exercise LVIII. Find the cubes of the foil (765) 655 464 459 964 457 766 459 563 ill 763 436 846 297 386 762 659 (766) 555 557 566 546 536 566 565 567 564 567 431 742 929 292 844 757 789 (767) 666 656 646 736 626 916 616 406 255 644 3"4 6S9 465 387 985 765 986 owing numbers : — (768) 407 717 727 737 747 757 767 777 774 775 465 34.2 ■756 575 344 848 486 (769) 908 818 828 838 848 858 868 878 888 887 736 794 419 497 348 869 698 (763) 777 729 738 747 757 767 773 774 775 776 442 642 793 386 287 72S 848 349 63 S 678 837 4S1 (770) 709 919 929 939 949 959 969 979 9S9 999 433 842 496 738 898 S28 639 51 (764) 888 978 886 864 859 748 836 824 812 S03 773 642 462 784 985 782 973 207 489 164 640 652 (770 498 497 996 995 994 993 992 991 990 988 997 467 489 607 329 789 543 it 52 MULTIPLICATION. Exercise Find the continued product of. - LIX. (772) (773) (774) (775) irM (777) (77^) (779) (7S0) (781) (7S2) (7S3) (784) (7S5) 8769 X 934i>x 75 S3 X 5946 X S359X 6473 X 6493 X 8526+ 5947 + 6725 X 0269 X 7548 X 6275 X S596X 23 X 32 X 22 32 + 21 XT^^ 23x31 X 13 3^ X23 + 22 22 X2I X :;5 3>i>^ I2'.<\i ^32, X ^2 y. 30 302 X 2^ X 20 -03 X 33 X 13 3^3 X 12x21 212 X2I X31 122 X32 X23 331 X 30x20 323 + 21 X22 (7S6) (787) (7S8) (7S9) (790) (791) (792) (793) (794) (795) (796) (797) (79S) (799) 8440 735^ 6645 9357 4095 6859 4716 8594 9625 7592 8276 7958 5872 4295 X222 ""333 X 232 >'3h "^233 "^^33 =<33o -r220 ^303 X32X ^,r X 23 X 23 ^ 33 X 22 X 22 X 32 X 23 X 32 X 22 X 33 X 22 X 32 X2I X31 X 20 + 32 iO ■46? $21? $14? $35? «$63? ^ 191- If 9 acres of land cost =?976-5o, what is the cost of I acre ? 192. How many barrels of flour at 88 a barrel can be bought for ):'i64o? •n^u^" y?r^^^ '^ '''°'^^ '^^ a ^^o^'d, how many cords will be had for .$11522? 194. A person wishes to distribute 168 apples equally among 4 boys and girls, how many will each ot them receive ? 195- A gentleman left his estate, worth 8 -.6 100 to be shared equally by his wife and 4children: what did each receive ? 196. If 12 sheep cost $84, what would 27 sheep cost at that rate ? ' ^ II ■I ( lil' 58 DIVISION. Exercise LXVII. 354 24j 18 (197) — (212) — (227) llI 405 I {198) !(213) 554 407 I (242) {257) 34 II (199) 207 12 209 19 (200) 407 12 174 .(201) : ^3 456 (214) 19 (228) 1:6 746 42 26 {229) 769 27 217 I 909 (215) (230) 20 I 27 {202) 274 216) 549 20 217): 376 21 (231) 404 S52 (243) -15. 654^ 35 (244) (258) 601 42 (272) 452 48 (245) 307 36 28 232) '97 856 654 (203) |(2l8) I4_j 2£_ 9S4 i 474 (204) i(2I9) 28 20 (246) 207 36 259) 376 43 260) (261) 247: 545 37 7 (233) 1(248) 14 (205) 205 !■; (206) 345 22 220) 694 22 15 (207 456 16 (208) 16 221 (222) 493 (234) 301 29 23s) 761 30 629 37 (262) 201 41 405 898 , 405 (273) -- . 49 . ^ 239 (274) — 49 (275) 804 49 999 (276) 49 44 (249) 405 38 (250) 908 (263) 45 / ^ 754 (277) 50 278) 854 50 -^3_ S95 , ., 454 I 954 (236) {251) 23 804 (209) 17 ;223) 745 (224) _24__ 606 19; (237) 31 378 \ 970 (264) — (279) -L 45 426 (265). — 46 39 252) 452 652 (210) j(225) -3± 542 (211) 194 285 (238) 31 . .725 (239) 1,2 253) _J0 840 990 (266) 46 50 (280) I^ SI ;267) 276 (240) 425 JJ 40 (254) 640 47 268) 579 47 891 281) 11 898 (282) 52 40 (255) ?2I 226) 780 41 205 719 (269) 824 48 25 241) 1(256) (271) (286) J 34 41 48 ■' 964 (283) 53 825 (284) — : J3 904 I 976 (270) 1(28 q1 — _ 48 r " _54 985 S5 804 (272) 452 48 , 405 1273) -- 49 (274) 239 49 (275) 8o4 49 (276) ■ 999 49 (277) 754 50 278) 854 50 279) 970 SO 280) 754 SI 281) 891 SI 282) 898 52 583)- 964 S3 84)- 53 85)- 976 54 " 985 86) -- : ss DIVISION Exercise 59 (287) 874.187 II ,(302) (288) 543.288 793.751 26 LXVIII. 678. 54J 12 (289) 850.351 13 (290) (291) 609.420 453.525 15 (303) 653.981 27 (304) 434.741 28 (292) 875.656 (305) 704 . 900 29 (306) 954.999 30 16 (293) 905.765 17 (264) (265) 654.882 18 263.95^ (307) (308) 875.405 31 985T787 ;uv 1 41 ^318) 458.715 42 (319) 659.415 43 (320) 379.600 44 (321) 409.999 45 (322) 710.756 46 1^2^) 611.276 (332) 756. o< 56 ^33:,^ ^^58.41 57 (334) (335) 961 .410 58"^ 867 010 59 (336) 876.7 10 60 984.824 32 (309) 805.909 33 47 19 (296) 405.680 (297) (298) (299) (300) (301) 20 471 .020 21 901.540 >22 65^^^ 23 452.764 24 743 . 240 (310) 706.42: 34 (324) 823.507 48 (337) 61 (338) 787.567 62 (339) 489.2x7 (325) (311) - (312) 476.376 35 847.216 36 (326) 925.404 49 432.6o5~ 63 (327) (313) (314) (315) 25 (316) 957-517 _37^ ^ 487.804 — i_ 897.901 497.999 40 - 1(328) 50 635.701 ^i 739.401 (340) 594.115 _64 52 845 (329) 001 (330) (331) ,53 549.800 54 554.217 55 (341) (342) 1(343) (344) (345) 1(346) 699.999 -^ 715.840 ____66_ 750.010 840.025 68 230.415 69 345.011 70 6o (347) (348) DIVISION Exercise 475-450.840 II 768.041.374 (362) — 1- LXIX. 755-432.679 26 12 (363) 814.301.654 (349) 471-104.074 27 ,1364) 971-703 ,850 (377) 936.070.041 41 (378) 648.678.534 42 (350) 607.240.879 14 (351) 409.465.837 (352) 742.101.407 (365) 847.400.590 29 (366) 472.437.001 (379) (380) 822. -9 ■ 809 ^2, 843.557-907 44 30 16 567) 959 001. 405 (353) 407 . 69S . 839 31 (354) 849.907.432 18 (355) 651 .201 .001 (368) 465.746.803 758.343.205 (369) (381) 797.079.028 45 (382) 810.676.427 46 (383) 957.435-876 47 32 19 (356) 476.958.421 20 (357) {358) 374.007.096 (370) 671.457.604 34 (384) 487.424.807 48 (385) 633.576.807 (371) 897.435.804 35 21 (372) 714. 501. 781 49 (386) 770.446.898 50 649.003.004 22 36 (359) 971.400.520 23 (360) 456.742.870 24 (373) 684.250.079 37 (374) 545.654.087 (387) 454.654.807 51 (388) 897.964.807 ^52 38 (375) (361) 849.907.482 25 418.387.099 39 (376) 795-0103544 40 943.079.045 (389) : 53 (390) 795.900.876 54 (39 i; 814.355.877 6.070.041 41 8^678.534 42 2.079.809 — ^1__ 3-557-907 __44 '.079.028 __4S '.676.427 46 •435-876 _48__ v576.807 _49 .446.898 50 .654.807 964 . 807 52 079.045 _53 900.876 3 55-877 55 DivisroN. Exercise. LXX. 61 acr^e^Josf?^"^ ^"'' ""^ ^'"""^ '°'' -7938- ^vhat will one chf?r^.os[?''^ ''^''''' """'^ v^2oi2-4o, what will one 394- What is the price of butter per pound, when 300 pounds cost 8105.? ^ 'u- '^nen fJSt^^r'''\T7 ^''''^' of cloth can be purchased tor •^633-50 at 83-62 per yard ? ,. 39^- How many sheep can be bought for 8^216 it the rate of S6 per head ? ur .. 3 2 1 (, at 397- In how many days will a bank realize 83,-082 if Its profits are 89 a day ? -^0"O2, 398. A merchant gained 139875 dollars in n years ; what was his average yearly gain ? '" " 399- How many loads may be taken from a bank o gravel of 32806 cubic feet, if each load conS n II cubic feet ? ^'^uiui bottle" ^v^f'n.v r^ ^""^''- ^^ '""^'''-^^^^ ^' ^° ^^"^« a Dottle, \vill pay for 40 copies at 4 cents each ? 401. At the rate of 28 miles in 7 hour^, how far would a man travel in 20 hours ? 1 1 hours ? i 4 hours ? Find the value of:— (402.) 5x4-2 + 7-3x6-24 + 64-11+4=? 403.) 3 + i3>^5-6o-5x3+4-^7-2 + 8x3=? (404.) 27-3-^8 + 9x6-5ox3-I6 + 25-^3= ? (40S-) 48-^6 + 3X9 + I-f.Io-4XIt;-8^^-^^=? <4o6,) i44-r-r2-i (407-) 7x9-3-1.4 + X 11 = 13—9-5 x6-2-f-io= ? X -? - 3-4x2-19-1-9= ? (408.) 36 + 9-^5 + 2-7-3 +4x5-254-8 (4'^9') 2I+q 25-rS + 6: y-x 4 -10-^-11 + 164-2-3 -1x9= ? (410.) 10S4-12 + 11+44.4+1 (411) S6-314-11 -24-3x7: + 17-4-7-9 + 7x4 + 11 -2 62 DIVISION. i (41^) 949-505.670 ^56 Exercise LXXI. 560.417.875 (413) 775.86 5.475 . 57 (427) (442) 701. 070. 076' 86 774-9^7-652 i 400.784.691 (428) (443) (414) 894.876.415 _ 58 87 307.904.287 I 487.807.321 (429) (444) 73 (415) 743-239.021 88 59 (416) 674.239.021 60 (417) 717.401.S95 67^~ (430) 160.801 .431 74 (445) 174-749-854 89 601.476.S01 ! 791. 078. 984 (431) (446) _Z — LZJ. 75 90 (418) 1 16. 41 8. 209 62 (419) 442.372.407 207.405.807 I 479.783.921 (432) (447) 76 91 896.047.040 I 431.61:1.42^ (433) (448) =^ - 77 {420) 659.416.507 a64_ (421) 790.845.884 65 (434) 1S7.208.147 78 92 1(449) 810. 784. /6g 93 804.^56.902 I 947-654.301 (435) K450) ^— 79 94 347.263.807 I 748.354-278 (436) 1^451) 80 95 405-674.802 I 574-375-804 107.405.007 66 (423) 107.505.673 81 96 67 (424) 590.406.807 68 (425) 808 . 904 . 706 69 (426) 107.405.873 142.000.07; 450.098.077 (438) '(453) -i-j:L_ZZ 82 (439) 763.432.876 97 83 (454) I (440) 1(441) 952.654.028 84 629.807.423 ~8S~ 546. 874. 3c I 98 i(455) 907.941.561 99 (456) 427.850.017 99 u. 070. 076 86 0.784.691 87 7.807.321 88 ^ 749 -854 t. 078. 984 90 ••783.921 91 .651.423 92 • 784-/69 94 .354.278 _95 ,405.007 _?6 098.077 97 874.301 98 941.561 _99 S50.017 99 DIVISION Exercise LXXII. 63 679,742 64 (517) DIVISION, Exercise LK XIII. 745.401, 201 (518) 496.807.904 (532) 505.491 45; [547) 764. 41; 557 (548) .451.960 547.076.974 876 •<-j ■ •53-S42 \3'y' 144 - 1554; 245 ^549^ ^77 (520) i9'''- 807. 904 . ." V- . r \ 65c. 02 7. 70 I ■ (550) 654.374.^56 678 . 745.864.370 1 .._ 987 545-676.407 429 (521) (551) 376.496.908 I9S ;.'87 245 (52-) 740. 876. 45 T 075.452.007 (552) 300.457.089 954 379 .897 (523) 594 -870.0} 6 (53^) 809.596.433 (553) 543-087.341 3^9 876 576 '524) 104.856.c09 (539) 753-450.076 (554) 176*048.276 595 754 379 (525) 397.450.096 (540) 429.376.407 (555) 534-875-706 279 347 676 (526) 547.607.007 (541) 576.827.452 (556) 567.805.974 457 634 347 (527) 674.320.134 (542) 835-079.453 744 (557) 976.854.079 157 496 (528) 746. 369. 804 (543) 652.025.044 (558) 679-854.374 796 564.600.070 297 447 (529) (544) 654. 30/. 854 (559) 987.697.004 596 3S7 576 (530) 600.724.375 ^=__ 375 (545) 907.454.263 560) 546.894.325 395 470 (530 794.827.954 546) S^ 9-475 561) • 746-876.7 547 ( 465 279 876 DIVISION. Exercise LXXIV. 6S 564- Nine thousand dollars was paid to 7 c oper- atives ; what did each receive ? ^ ^ 565. Paid $17100 for a farm, at the rate of $t6 an acre. How many acres did it contain ? 566. The product of two numbers is 66104 c: • one of the numbers is 85 ; what is the other ? 567. At .|!o-3o per volume, how many volumes can be bought for $69 ? ^ "'""ic^ can 568. How many yards of carpet, at $4-60 per yard, can be bought for 1^676-20 ? ^ 569. What is the price of a silver cover, if ir cost •1? 1 1 7 r '^ 570. A butcher gave $66 for sheep at the rate of •1^3.30 each ; how many sheep did he buy? 571. A farmer sold 356 oxen at the rate of |iq2 • what did he receive for them ? '^ 't^^ > 572. How many gallons of molasses, at 45 cents a gallon, will pay for 86490 pounds of butter at 25 cents a pound ? -^ v,.„iiia 573- I bought 14 barrels of pork at $12 a barrel and sold It for I154 ; how much did I gain or lose ? oats ho 574. A farmer wislies to exchange 200 bushels of f« nf -^ cents a bushel, for flour a^ .«s n K...^i . barrels will many receive ? IS 575- The product is 2962875, and fhe multipl 375 ; What IS the multiplirand? 66 DIVISION. Exercise LXXV. (590) IJIVISIO.V. 67 Divide successive than the divisor ;_ (/J2i) 2370453846 622) 4754386274 623) 6240S37294 (624) 8624054736 (625) 583724694S 626) 4320725638 (627) 5821072644 (628) 3827958348 629 274293685S (030) 4829 1 7 1442 Exercise LXXVI. ely by 2, 3, and 4 till the quotient is less (631) (632) (634,' (635) (636) (638) (639) (640) 5S23726425 6025372563 2543562792 8627503164 9383726426 4583672054 ,7212288662 8327156274 9 1 207 1 5638 4628047588 (641) 5837062484 (642) 8:521625842 (643) 7259308468 644) 5174326456 645) 6294897228 (646) 4927160554 (647) 9106248376 (648) 27286S2844 (649) 9127304762 (650) 4273884764 Divide successively by 7 less than the divisor 651 28 16486494 (662) 652 3726819632 (663) 653 4432226878 (664 65+ 4358764246 (665 655 2607954873 (666) 656 7758344244 (667) 657 4189727042 (668) 658 2900364873 (669) 659 9540480581 (670 (660) 146078 1392 (671 (661) 4387637488 lllll Exercise LXXVI I. yy 7. 9- 5. 4. and 3 till the quotient is 5361339979 5231894284 9925251342 382935978S 5737S88547 5648923366 7555774454 7463463732 9376346693 928^639221 39850)4235 (673) 6698979784 (674) 8907627562 '675) 9662699663 l^'76) 7558594938 (077) 7466894079 (678) 86438972^ (679) 6764648642 (680) 8496725863 (681) 8779326767 (6S2) 7268895628 (683) 9842946829 Divide, using (684) 10592-1-48 (685) 17049-^-49 (686) 57464-^54 (687) 756i6-f-56 (688) 50047-^-63 (689) 62144-1-64 (690) 87496-^66 (691) 73248-~72 (692) 56533-^-77 (693) 12000-^80 (694) 314.(1-^81 (695) 92704-rS4 (696) 49842-^-63 Exercise LXXVI 1 1 the factors of the divisors :— \Pl\ 9^59841-7-24 (7x0) (698) 4049289-^16 • ' 699) 7005764-J-18 700) 3593754-f-25 (701) 5285688-r27 (702) 8320007-1-30 (703) 6971529-1-32 (704) / 4,. 326-^4 2 705) J. L254-1-46 (706) 2778882-^48 (707) 2394241-1-56 708 5776967^54 (709) 9780097-1-42 (711, (712) (713) (714) (715) (-16) (717) (718) (719) (720) (721) (722) 39275S: 3902764 9270542 8270593- 8910639- 2785888- 9276S44- 3725657-: 2847523-: 3889767^ 6620746-1 37254224 4896352-1-. -^56 ■63 ■54 ■72 81 'J3 ■32 ■42 49 36 28 6=: 68 DIVISIOV Exerci e LXMX. 723. Two men hcL\c logether 8ioo-oo, one of them has 8900 less than the other. They bought horses at 8150 each ; how many horses did each buy? 724. How many boards, each 12 feet Ion;;. be required to build a fence 8560 feet long, the fence being 5 boards high ? 725. What number subtracted 18 times from 97632, will le.: vc 2232 as a remainder ? 726. The sum of two numbers is 1187, and the lesser numi;cf is 102 ; find their product. 727. If a person pays $i'38 for 6 pounds of butter, how many pounds ought he to get for 8276 ? 728. How many times can 236 be subtracted from 2124 ? 729. Divide the product of 204 and 378, by their difference. 730. If a mechanic receive 81500 a year for his labor, and his expenses are 8968, in what time can he save enough to buy 28 acres of land at 8133 an acre? In an exercise in Division the fMvidend is 731- 78789, the quotient 137, the divisor. d the »^emain' r 14; find 732. The product of three numbers is 535,500 ; one of the numbers is 68, -■ :d another 7 q ; what is the third ? 733. A has 83,540 more than B, and $t,-oo less than C, who has 820,600 ; D has as mich as A and B together. How much has D ? 734. Of what number is 3,042 be d sor and quotient ? 735. iiought 60 yards of cloth at the rate of 2 yards for 85, and 80 yard':> more at the rate of 4 yards for 89 ; I immediately sold the whole at the rate of 5 yards for 814. How much did I gain ? INTRODUCTORY FRACTIONS. 69 IntroHumr)) jfrartions. from y^ )'2 2 i If a uait is divided into two I unit=-- equal parts, one of the parts is 2 (called one half. their H H h % % 'a 1^ If the unit is divided into three I unit=- ^'^"^' P^^'^' °"^ °f the parts is ^called one third; two of the 'parts are called two thirds. I If the unit is divided into four ^ equal parts, one of the parts is 1 unit=~ called one fourth ; two of the 4 parts are called two fourths, and [three of the parts, three fourths. Exercise LXXX. 1. How many halves in a unit .^ in 2 units ? in x units ? m 4 units ? in 6 units ? " 2. How many thirds in a unit ? in 2 units ' in x units.? IS 5 units? in 8 units? * 3- How many fourths in a unit ? in 2 units ? in a units? in 10 units? ' ^ 4. Hor.-many halves in a unit and a half? in 2 units and a half? in 3 units and a half? S- How many thirds in 3 unus and a third? in c units and two thirds ? ^ 70 INTRODUCTORY FRACTIONS. Exercise LXXXI. 6. Find >4 of 4, ^ of 8. Solution.— I. To find Jof any number divide that number by 2. Thus i of 4=44-2 = 2 Ans. II. J of S = 3 times J of 8. Since i of 8 = 8-^4, therefore 2 0f8 = (8-r4)x3=6/l«$. * 7. What is J^ of 6 ? of 10 ? of 14 ? of 20 ? of 24 > of 30? of 50 ? 8. What is ^ of 9 ? of 12 ? of 1 5J? of 18 ? of 24 ? of 30 ? of 75 ? 9. What is 14: of 12? of 16? of 24 ? of 36? of 48? of 160 ? of 200 ? 10. What is ^3 of 9? of 12? of 18? of 21 ? of 60 > of 90 ? of 1 20 ? of 300 ? 11. What is ^ofi2? of 16? of 20? of 28? of 36? of 100 ? of 400 ? 12. When coal is worth 8 dollars a ton, what must be paid for /^ of a ton ? ^ 13. If there are 12 ounces in a pound, how many ounces in ^3 of a pound ? 14- If there are 100 cents in a dollar, how many cents in ^ of a dollar ? Exercise LXXXII. 15. What will •j2}4 yards of silk cost at $4 a yard ? _ Solution.— I. If one yard cost 84, 72J yards will cost 72* times «4. 72 times $4=»288; and J of ^4=^2. Hence 72* yards will cost $288 + ^2. =$290 Ans. 16. At 30 cents a pound, what will Sfi pounds of tea cost ? 17. If a man pays 22^^ cents a pound for beef,, what will 50 pound ost him ? 18. When raisins are worth ^3 of a dollar a box, what will 135 boxes cost ? 19. What must a grocer pay for 36 bushels of pota- toes at 62 >4 cents a bushel? INTRODl'CTORV fRACTIONS Exercise LXXXIII, 71 a po°u„d^' "'" 5^ '"""^^ "f ^"fc'" ~^' •-" ■ ■ y. cents had heir?" ''"""8*900, spent y, of i, ; how much doz"n ?"'"''" '°" "" ''°^'" °f ^SSS -It iby, cents a thrcldf '''''■ """ •'' 'P°°'' *''" •^°"9^45 -spools of a ya'rd 7"" '°" '^-^ ''"'^^ "^ '""'"" "' 33 /i cents -t«nts"a';o™dr'°'^^'''°""''^"f-8-- each': '''"'' *' ™" "f ^50° melons at .5 cents 28, What must be paid for 6 bales of cotton con- la.nmg 430 pounds each, at .6^3 cents a pZd ? ing 4, vlrds '"at "t ^'T °^ "''^°=°='' ^^'^h contain- '"8 45 >aras, at 25 cents a yard. many tfmestml'7"' ^^° ''"^'^ ^" ^"'"g ^ "^'^^^ how many times will it turn in going ^ of a mile ? yards otsiltf ' '"'^' "^'^ "'■" ^^ ^^^ '^^^^ °f ^40 Piece lie'^rL'^^^^^-'^ ^^•''"" ^^ ^gg^ ^^ 4 cents a P ece. He received in payment 6>^ pounds of butter cnt°sa't%:^T''^"^^^^ y^^^'«^ ^^bbon a\^" cents a yards. How much is still due him ? 72 BILLS. A Bill, in business transactions, is a written state^ ment of articles bought or sold, together with the prices of each, and the whole cost. Exercise LXXXIV. Find the cost of the several articles, and the amount of the following bills : Toronto^ Alay 20, 1803. G.J.Nichol, Bought of h, R. Taverner, 336 yds. Muslin, (o) 26c ! gS^ " Canton Flannel, (a) i8c ' 162 " Victoria Gingham, @i6^c.... no •• Cassimere, @%'2.'^';\..'i Ans. $ (2.) IV. C. Kennedy, Rochester, May 15, i8gj. Bought of V\vi£. & Co. 14 lbs. Coffee Sugar (^ iic... 6 " Y. H. Tea (rt}62^c.. 25" No. I Mackerel, (fl), 6ct... 6 bushels Potatoes, ^n), 37 Jc . . 3 gallons Syrup (rt) 8oc . . . 7 dozen of Eggs i§, i6c . . . Ans. % (3) W. Malone, Hamilton, May 20, i8pj. Bought of M. Stafford, 36 lbs. Sugar, ^r 8c. . 18 " Coffee ^. 15c . 24 " Butter, ia> i8c. 10 doz. Eggs, @ i2ic 4 gallons Molasses, (^ 44c . Ans. I BILLS. (4-) 73 John S. Korman, Brantford, August 20th, iSpj. Boug/itof Henry O'Connor, 20 chests Green Tea, @ $22 • so 16 •• Black '• ..@ i8-7s"* 14 •; Imperial Tea @ 32 • 87* ! ! 15 sacks Java Coffee, ^ ly-si 25 boxes Oranges ^ 4-62i.'.' Ans. f Received payment, Henry O'Connor. (5.) Haviilton, i6th August, 1803. Thomas Siveeny, To John Delorme, Dr. 1S92 April June. Aug. 28 30 I 1 o 3 lbs. Java Coffee, @ 33c . ^2 , • ?-,^' Sugar, @. lie. 4 gal. Molasses (a; 88c . 9 lbs. Butter, ^ ^c. Cr. . .v^ i8c, By 5 quires Note Paper, 3 packages Envelopes 7j i cc 2 bottles Ink ^n ji^] 5 boxes Pens, ^ 32c.' Balance due f Received payment, August igth, 1S93. /ohu Delorme. Exercise LXXXV. Make up the following bills in proper form •— 6. Sold in Niagara, Feb. 2, 1893, by D. Nolan, to Mr J. Maguire, viz.: 7 lbs. chocolate, at 25 cts.: 5 lbs. candles, at 22 cts.; 12 lbs. sugar, at 15 cts. 18 lbs. flour, at 24 cts. ^ ' f 74 RILLS. . Exercise LXXXVI. 7. John E, Shea of Toronto, sold to D.Simons, 1-eb. 10, 1893, 15 lbs. of butter, at 17 cts.; 25 lbs. of cheese, at 20 cts.; 750 lbs. maple sugar, at 9 cts.; 278 lbs. of coffee, at 36 cts. T t' 4^' 5^'-^"^"' B^ockville, sold, Jan. 8, 1893,10 J. B. Wright, 37 yds. sheeting, at 26 cts.; 43 yds. lace, at 82 cts.; Feb. 3, 75 yds. Irish linen, at 45 cts. 209 yds. mushn, at 14 cts.; 330 yds. doilies at 16 cts. 9- J- H. Cashman, bought of John Thomson, Toronto: May 12, 1892, 18 plows, at $11; 2^ handsaws, at 63-50 ; 90 spades, at 86 cts.; May ,0, 86 shovels, at 50 cts.; 4600 lbs. iron at $12 a 100 lbs • June 7,14 hammers, at 62 cts.; 12 mill saws, at .^12-1 2' June 7 credited^by cash, $140; June 15, credited by' June fiV' ""^ '"''' "^"^ J- Thompson, 10. G. Schell, Chatham, sold to T. Sheehan Mays, 1S93, 20 lbs. Rio coiTee, at 24 cts.; 59 lbs! W. I. sugar, at 7 cts,; 75 lbs. pearl starch, at 13 cts ; 12 gallons syrup, at 65 cts.; 90 lbs. butter crackers at II cts. ' 11. Chas. Hanrahan, sold to F. Murphv, on Oct 28, 1892, 24 outside window-sash, at 83-50 ;' 48 pieces of wmdow-stops at 2/2 cts.; and 24 slide ventilators at 30 cts. 12. Sold by J M O'Reilly, Owen Sound, April ' P' i^""/- ^^''^^^ '■ "78 lbs. coffee, at 36 cts.; 270 bs. lard, at 13 cts.; 800 lbs. ham, at 11 cts. 1540 lbs. corned beef, at 8 cts.; 750 lbs. butter, at 17 cts.; 217 lbs. maple sugar, at 7 cts.; 126 doz. eggs. at 12 cents.; 150 bushels oats, at 65 cts. 13. Sold in Toronto, April 20, 1893, by Isaac Chambers to Mrs. Julia Meredith, and the bill paid - 3 doz. silver table fork^. -n .^..-^h ^ ^^. . i j_ " Silver table spoons, at 635 a doz.; 2>^ doz. silver tea- ms''— -'^'^''^ "" doz.; ij^ doz. ivory handle ?^7•5o a doz.; i gold guard chain, at $1-36. -3 n S BILLS. Exercise LXXXVII. 75 'tV^.^,"J'-y^'-?"' Kings March 6, 'i893ras7olIows"''f ?"' '"'^'^u-' "• ^'"^^' lbs af ic nf.. ^yoiiow;,: 2 loaves white sugar, C2 IDS., at 15 cts.; 4 hbls. extra flour, at SySo- qi/ h= cheese, at 16 cts.; ,5 lbs. raisiis at 5 cts^.^^ ^ black pepper, at ^, cts. ; 20 lbs. bu ter at 2. cts , »' 5/2 CIS., 7202 iijs. cheese, at iii/ cts • I.ii,, , 11521 bus. cotn, at eo cts- h,l, , 'J l^?' flour, at $6-121^ On m, i-" ^ ''', '^^o bbls. cred ts • Tune „■ h fu°™ ^'^ *<= follo.ving J"na'3o; bycasl^.'';o"=Tu^^rr^'''^ "V wS' if th'"^-^ '^^^°. g.^K L.is?^tt'^/.,r^ .^ accol't on' Jur;;5 °'"^'' "'^"'^''^ '° "^'-'^ 'he Pritf.; Feb,'':'' ^8^,7';' !«• H-el and Co', fir. vHc ^oi- ^' ^^' ^^yds. cambric at 14 cts ' ma* ^r* CO mV' '5 "■'■; April 9, 7 cords o Tune 21, „;i 'r o^ ^°' '''■'''^' °" "■'''if''.'', ^rS- Ha"LI'icf:'jut t6;^°893?^' '^'"^ ™^ '^"^' 17; B. C. Willis, bought of D. & T Sadlier /ir rr. metes at 15 cts.; 50 Commercial Aritiimetics at ^7 as.; 2 doz. Advanced Readers, at .^4-co aL t^/ 60 Grammars, at co cts- ,k ., -+ 5° - Aug. 12, History, at 7 ts • Senf : ' ^^^.^ <^^"'"Pendiums of ,r rt, ^' Spp^^ - %.^^l'^^' 30 Prmiary Algebras. ..t met,cs, 37 cts. What balance'wa's dulT* j'a &'2'o ," S i 76 TABLES OF MEASURES. EMt^ of JHeasurcs, lo mills 100 cents Canadian Money. make I cent marked ci. I dollar, '< ^j. United States iVioney. 10 mills make i cent marked ct. lo cents " I dime " d. 10 dimes " i dollar, «' $. lo dollars " i eagle " E. English or Sterling Money. 4 farthings, 12 pence 20 shillings 21 shillings far., make i penny, marked d. " I shilling, " s. " I pound, ♦' £, " I guinea. Avoirdupois Weight. Avoirdupois Weight is used to weigh all common goods, such as groceries, hay, grain, and all metals. The denominations of Avoirdupois Weight ^are tons, hundred-weights, pounds, ounces, and drams. i6 drams, dr., make i ounce, marked oz. i6 ounces " i pound, " ft. 100 pounds " I hundredweight, cwt. 2000 pounds " I ton, " T. The pound Avoirdupois contains 7,000 grains. Measure of Capacity. Measure of Capacity is used for measuring all liquids generally, and such articles as grain, fruit, roots, salt, lime, etc. marked pt. qt. gal. bus. " bbl. _ " hgd. in measu'ring dry 4 K'lls, gi., make i pint, ^ pints " I quart, 4 qupTta ♦• I gallon, 2 gallons " I peck, 4 pecks " I bushel, 5ii gallons " i barrel, 03 g^'ions " I hogshead The peck md bushel are used only articles4>as gram and fruif. It TABLES OF MEASURES. 77 make r foot, I yard, I rod, pole, or perch," I furlong, " I mile, I league, " I degree, " I degree, I circle, markad. ft. yd. rd. fur. m. lea. deg. deg. cir. Long Measure. Long Measure is used for measuring lencrth with- out regard to breadth or depth Its denominations are circles, degrees, leagues, andinches°"''' "^'' ^^^'^ °^ P^^^'^^' yards, feet! 12 inches 3 feet 5^^ yards, or i6^ feet '• 40 rods 8 furlongs 3 miles 69^ statute miles 60 geographical miles 360 degrees 1760 yards, or 5280 feet make one mile 4 inches make one hand for measuring horses. Square Measure. This measure is used for measuring all kinds of surfaces, such as land, boards, plastering, and every- sidefed "' ^'"^^^ """^ ^'^""^^^ °"^y ^'^ ^°"- Its denominations are square miles, acres, roods, squa": inches" '"''"' '^""' ''''''' ^^"^^^ ^^^^' -^ 144 square inches make i square foot, marked sq. ft g^squarefeet ■< i square yard, " sqvd 3oi square yards " i sq. rod or pile, ^^ ^ 40 sq. rods or poles " i rood ^ 4 roodo u I acre,' 640 acres .< j gg^are mile. P. R. A. sq. M. Solid or Cubic Measure. fh7thJ\^ J°' ™^'^^"""g solids, that is, things l/nfh nM r ^^"^^"S'^«^> viz. : length, breadth,, and depth or thickness ; as wood, timber, stone, masinry, 1728 cubic inches, c. in. make .( <-ubic .^oot.mark«rl n„ (t 40 feet 16 cubic feet 8 cord feet ori28 cubic ft. I ton, I cord foot, " .ft I cord of wood," C. 78 TABLES OF MEASURES. Circular Measure. Circular measure is applied to the divisions of the circle, and is used in reckoning latitude and longitude and the motion of the heavenly bodies. It is often called Angular Measure, and is chiefly used by astronomers, navigators, and surveyors. Its denom- inations are circles, signs, degrees, minutes, and seconds. 60 seconds, ", make i minute, marked ". 60 minutes " i degree, " ^ 30 degrees '• i sign, ' " s! T2 signs, or 360", " i circle, " c. Time. This is reckoned by centuries, years, months, weeks, days, hours, minutes, and seconds. 60 seconds, sec. make i minute, I hour, I day, marked m. h. I week, I year, I year, I century, d. \v. Y. Y. C. 60 minutes 24 hours 7 days 365 days 12 months 100 years The days in each month are often expressed thus :- Thh.y days hath September, April, June, and November- tebruary hath twenty-eight, and thirty-one the others rate, t-xcept m leap-year, happening once in lour. When we give to February one day more. Books arid Paper. 24 sheets of paper make i quire. 20 quires " " i ream. iWiscelianeous Table, 12 units, or things, make i dozen. 12 dozen ' 12 gross, or i44doz.,' 20 things 100 pounds ' 196 pounds « 200 pounds « 18 inches ' 34 fts. »' 48 lbs. " 56 fts. '< 60 lbs. <■ I gross. I great gross. I score. I quintal of fish. I barrel of flour. I barrel of pork. I cubit, I bushel of oats. I do. of juckwheat orbarley. I do. of Indian corn or rye. I do. of wheat. REDUCTION. -jg lExtxxi^tB in lietiurtiou Exercise LXXXVIII. (descen'dinc;.) T- I '1 ■'^3475 how many cents? how manv mills? how many dimes ? 2- I'l jC^5 7^- 8d. how many pence ? 3- I'l ^42 3s. 83/|d. how many farthings ? 4- In ,-^75 I OS. how many shillings ? 5. In 25 tons 253 lbs. how many pounds? f). How many inches in 9 yds. 2 ft. 1 1 in. ? 7. How many rods in 4 miles 7 fur. 35 rods? 8. How many cubic inches in 75 cubic feet? 9- In 6 da>s 4 hours 20 minutes how many minutes ? 10. Reduce 15 bus. 2 pks. 3 qts. to pints. 11. Reduce 22 acres 130 sq. rd. to scjuare rods. -12. Reduce 6 c. 4 c. ft. 8 cu. ft. to cubic inches. 13. Reduce 3 years 6 mos. to hours. 14. Reduce 2 tons 76 lbs. to pounds. 15. Change 25 sq. yds. 11 sq. ft. to square inches. 16. Change 2^ bus. 3 pks. to pints. 17. How many hours were there in February and March, 1893? ^ 18. How many sheets in 3 reams 15 quires ? 19. Reduce 15' to seconds. 20. How many single things in three score and ten ? 21. How many seconds in 25' 29' 30" ? 22. How many cubic feet in 60 cords of wood? how many cord feet ? 23. How many gills in 5 gals. 2 qts. i pint? 24. In 256 bus. how many pecks? 25. How many minutes in February in leap year ? !i \l 8o REDUCTION. 26. many 27. 28. 29. 3°- 31- 32. 33- 34- 35- 36. 37- 38. 39- 40. 41. 42. 43- 44. 45- 46. 47- 48. 49. 50- 51- 52. 53 54 55 Exercise LXXXIX (ascendin(;.) How many dollars in 4893475 cents? How eagles ? How many pounds in 9867 pence ? How many shillings in 786 farthings ? How many pounds in 97684 farthings? In 1376 inches how many yards ? In 467 feet how many perches ? How many cu. yds. in 284960 cu, ins. ? How many gallons in 3247 pints ? keduce 1689 quarts to bushels. Reduce 756 gills to quarts. Reduce 10796 oz. to pounds. Reduce 1876 lbs. to tons. How many hours in 29842 seconds ? How many degrees in 1000" ? In 45680974 seconds how many weeks ? Reduce 76983 cu. ft. to cords. In 13 1 37 pints how many hogsheads ? Reduce 26500 sq. rd. to acres. How many miles in 52100 rods ? How many bairels in 6078 gills? In 31 7800 inches how many miles ? How many gross in 1728? How many score in 6040 ? ' In 1 734 feet how many rods ? How many reams in 1 1 1 1 1 sheets of paper ? Reduce 29878300 square feet to sq. miles. How many degrees in 78960" ? In 78942 hours how many years ? How many hands in 64 inches? How many furlongs in 179359 inches? REDUCTION. 8l Exercise XO.—Miscei/aneous. 9. 1^19 56. How many cents 57. How many dollars in 289427 cents? how many dimes ? how many eagles ? 58. How many farthings in ;2£"75 12s. 6d? 59. How many pounds in 45044 farthings ? 60. In 76 T. 18 lbs., how many ounces? 61. How many tons in 2675088 ounces ? 62. How many inches in 25m. 7 fur. i7rd. 9 ft. 6 in? 63. In 2097540 inches how many miles? 64. In 25000 miles how many inches? * 65. In 48 deg. 17 m. 6 fur. 18 rd. how many feet ? 66. In 18697846 feet how many degrees ? 67. How many sq. ft. in 8 A. 3 R. 13 p. 215 ft. ? 68. In 423789 sq. ft. how many acres ? 69. How many cubic feet in 25 cords of wood? how many cord feet ? 70. How many gills in 63 gallons of wine ? 71. In 12648 gills of wine how many gallons? 72. How many seconds in 365 days6 hrs. 24min.? 73. What is the price of 15 gross of steel pens at JE^c. a piece? 74. What is the price of 14 reams of paper at 15c. a quire ? 75. Sara bought 518 lbs. of sugar at 7 cents a lb., Frances bought 25 bbls. of applesat 81-75 a bbl. How much did each cost ? how much did both cost ? how much did one cost more than the other ? 76. John Sullivan has agreed to grade a certain railroad at 85 "75 a rod ; what will he receive for wad- ing the road its length being 37 m., 7 fur., 24 rd.? 77. What is the value of a house lot, containing 40 square rods and 200 square tcet at $1-50 a sq. ft.? )! if 82 K EDUCTION. Exercise XCI, 78. How nwny yards of width, will be '5"- ^vide? Wiiat will be th ^fiscelianeoHs, carpeting, one yard in • , I C>> •^"V. VUiU 111 •;^"':•^!"^^^^^^''"^»^^^«ft.longand 79- In a Held 80 rods lo e cost at .^i 35 a s(j. yd. } ng and 50 wide, how many at. is the cost at square rous J- iiow many acres ■^235 75 an acre? 80 A merchant purchased 9 bales o^ doth pipK containing 15 pieces, each piece 23 vL afs ints ^ yard ; what was the amount paid? '^ tinfcs' i« ^'nJ]n;l"'T °^ " ^^^^^'" ^'^^^ vibrates 47 -- rl.v. "^ nule; how many times will it vibrate in J / days and 39 minutes ? ..n V' f^T "'''">' s^^'"gles will it take to cover a roof L°t tZ^ ''^''}' 36 feet long, .viTh raf "rs inches? ^ ' ^"I'P«^'"S °»e shingle to cover 27 ^^' How many time-, ^v,); the large wheels of nr engine turn in going Aon. Toronto tc^M^S a d^ ^nce of 333 miles, supposing the wheels^S 13 feet 6 inches m circumference ? * to ue 12 teet ,/^'^A ^™"^T'''" purchased a house lot that wis 86. Bought I T. 186 lbs. sugar at 7 cents , IK . how much did it cost? ' "'•' 87. A grocer bought 4 bbls. of flour at .»c-7, a bbl fouffeir f,P''<^°''™°d, 26 feet long, 7 feet hirt. and fSV?o,;„t;c:rdrr^ -="■ "-^ -^^ --/-^d REDUCTION. Exercise \(^\\.—Misce/ianeous. 83 90. What will five miles of telegraph cable cost at 1 2 cents a foot ? 91. A\'iiat is the age of a man at fourscore and ten years old ? 92. How much will a load of hay weighing 2670 lb. cost at 89 a ton ? 93. What is the cost of a piece of timber, 35 f, long, 2 feet wide, and one foot and a half thick, at 5 cents a cubic foot ? 94. A pile of wood is 18 feet long, 8 feet high, and 4 feet wide ; how much is it worth at *5'5o a cord? 95. What is the value of 'a city lot, 50 feet wide and 150 feet long, at 10 cents a square foot? 96. A grocer bought 6 bbls. of cider, at 82 a bbl., and retailed it at 15 cents a gal.; what was his gain ? 97. For 5 cents a pint, how much syrup can be bought for 66-37 ? 98. How many score in 150 gross? 99. If a man walk 4 miles an hour, and 12 hours a day ; how many miles can he walk in 24 days ? 100. What is the cost of 2 bus. 2 pk. and 3 qt. of oats at 3 cents a quart ? loi. If I bus. of wheat make 45 lbs. of flour, how much flour will 600 bus. make ? how many bbls.? 102. How much will it cost to dig a cellar 40ft. long, 18 ft. wide, and 8 ft. deep, at one cent and a half a cubic foot ? 103. How many boxes, each containing 15 lbs. can be filled from a hhd. of sugar containing 900 lbs. ? 104. If a man earn 835 a month, how much will he earn in 6 years ? T05. What is the cost of 6 bales of cloth, eacli bale containing 1 8 pieces, and each piece measuring 52 yds., at $1-65 a yd.? IMAGE EVALUATION TEST TARGET (MT-S) 1.0 I.I 11.25 ■ 10 *^^ l!f lit us M 2.2 lis 20 M. 11 1.6 q V] <^ /G. Hiolpgrapi .Sciences Corporatii on 23 WEST MAIN STAEET WEBSTER, N.Y. 14580 (716) 872-4503 A A^ iV <^ N^\ ^.% [^ mo i/j Z. 84 t'S! COMPOUND ADDITION. iaxmisey in OTtimpouttli Numbers. Exercise XCIII. Addition of Compound Numbers is the method of findmg the sum of two or more denominate numbers ot the same kind. (U £ s. d 5 1,^1 64 8 '7 9i 3 8 4? 9 II S'i (4) T. lb. oz. dr. 82 i8 15 13 15 12 14 10 40 14 9 II IS 16 10 12 65 13 7 8 English Money. (2) 8 6 4 10 12 19 o 15 d. 6i loi 7d 2i 12 10 65 40 (3) s. 14 19 12 d. 6| 9i 5i Avoirdupois Weight. (5) ■T. lb. oz. dr. 15 iS 10 12 14 12 9 8 46 9 14 13 15 o 6 10 12 8 II 9 (6) T. lb. oz. dr. 40 17 12 13 25 20 10 8 35 25 II 10 13 19 14 7 15 26 15-9 (7) cleg. m. fur. rd. 20 19 59 47 78 32 17 28 A. 48 88 24 67 49 59 r6 7 6 5 7 I (9) R. P. ft. 3 30 272 3 14 250 2 31 167 I 17 176 3 31 % Long IWeasure. ft. (8) in. '5 ii I 39 10 II 14 Q 9 3b 16 10 m. fur. rd. yd. ft 12 7 13 6 16 I 16 17 35 5 15 3 17 14 36. Square IWeasure. in. (10) R- P. ft. yd. in. II 10 5 9 7 143 43 I 15 116 16 3 39 135 47 I 16 131 38 17 19 27 8 7 5 II 18 8 II in. 17 141 79 17 117 COMPOUND ADDITION. 85 Exercise XCW. Solid Measure. 6| 5i dr. 13 8 10 7 "- 9 Cu.yd. 61 47 71 47 (11) cuft. cu.in. 24 17 16 18 19 3 2 I 3 2 40 35 45 37 55 I 2 o 3 I37I 24 I7II 67 1666 96 1711 19 I6I7 H (12) cords c. ft. 116 113 127 98 37 c. in. II 69 1711 968 1376 !4M (14) hhd. gal. qt. pt . (13) cords eft. 100 87 65 124 97 Measure of Capacity. (15) bus. pk. qt. pt. I I o I I 35 16 30 14 3 I 2 I 7 6 5 2 4 I I o I I 14 •7 10 97 10 37 19 127 c.in, 1004 969 1272 1367 1060 (16) bus. pk. qt. pt '7 I I 3 I o I o U I o t ij in. II 10 5 9 7 (17) Time Measure. Y. d. h. m. sec. 67 300 23 59 17 ,37 169 15 17 38 .29 3^^ 23 42 17 18 178 16 S8 47 49 317 20 52 57 Y. ^5 51 16 18 36 d. G 5 3 5 4 (18) h. 23 15 21 19 15 m. sec. '3 27 57 39 18 17 18 28 49 57 (19) Circular Measure. s. I // II 28 56 58 10 21 51 37 8 »3 39 57 7 19 40 34 3 17 47 48 (20) s. / /( 9 07 23 iS 7 09 19 5« 8 18 57 45 4 17 10 39 7 27 3« 48 86 COMPOUND NUMRERS. ' i [ ! ;■■! Exercise XCV. 21. 19 lb. Add together 17 ton s 14 lb. 12 II oz., 53 tons 17 lb. 80Z., 27 tons 18 oz., 13 tons and 16 tons o lb 13 oz. lb. 9 02. T. m" f^'"^ ^ '''^'^' ''^ ^""y^ the first weighed 2 T 24. Add together 17 bus. i pk. 7 qt i nt tS h.,c 3i;..^2^.,i9bus.ipk3qt.%andKi^; i6g A 1 f ";!'"^^" '' h,f« 3 farms the first contains rr.- f.' ^ J t^ P-- '^' ^t-' tl^e second 187 A. i R. icr n if>5 ft-, and the tnird 217 A. 2 R 28 n r^/fr u ^' much in the 3 farms .? ^^ '^^ ^^' ^ ^^^ 10 cords 1 16 ft 1000 m., the second 17 cords 11 1 ft m^h^^'allf'^^^'^'^V^^^^^-^^ nr.?;nn^"'^' Thompson has 4 casks of molasses : the 123 gal. 3 qt. o pt. ; how much in all ? II mo. 23 d and Daniel is 18 Y. 9 mo. 20 d. • what IS the sum of their united ages ? ^ ' 29 Add together 18 Y. 345 d. 13 h. 37 m. ic sec 87 ^. 169 d. 12 h. 16 m. 28 sec, 316 Y 144 d 20 h 53 m. 18 sec, and 13 Y. 360 d. '21 h. 57 m.^, sec 30. Fmd the total of the following : 2004 bus 2 nk I gal. 2 qt. I pt., 104 bus. : ani* ^ T ' ^"■\'°-^ D"s. I qt. I pt., 4 bus. I pk. I gal: ; pt." "" ^"•'- ^ ^''- '■ P'^- ' P^-' ^"d 4S3 bus. COMPOUND SUm-RACTION. 87 Exercise XCVI. Subtraction of Compound Numbers is the method of finding the difference between two denominate numbers when one or both are compound. English Money, £ b. d. . (2) I s. d. / (3) s. d. 68 II 5.^ 7 ('3 16 lo.t 100 10 o\ 41 13 li 714 17 II-; SO 19 iij Avoirdupois Weight I -- T. (4) lb. oz. dr, (5) T lb. oz. dr. T. (6) lb. oz. dr. "7 5 14 u I I 13 100 10 'y 17 I 15 <) I 13 15 Solid Measure. 99 15 T. t • in. C. /? in. . '71 30 1000 571 18 •234 y8 .1/ 1234 199 19 1279 Measure of Capacity gal. qt, pt. 87 2 68 3 I g' I 3 (10) gal. qi. pt. gi. 108 I 2 9^' 3 3 Time Measure. gal. 1204 109 (n) qt. pt. gi. 2 I 2 303 (12) (\A Y. d. h. m. s. Y. d. i m. s. 370 15 13 '7 5 37 2 19 40 20 m ^43 19 54 2.-J 14 5 10 54 43 H II Circular Measure, deg. m. s. " . ^ ^' 27 13 17 12 36 S. 10 8 29 41 48' 3S COMPOUND SUBTRACTION 2 1 St, 1883, to , Exercise XCVII. 16. What is the time from March January 6th, 1893 ? inJ^;o^Tf^"^°r' ^^^^'^ ^" London, amount- r8. From 58 T. take 12 T. 19 lbs. 14 oz. i/ft'^H^^^-T^'"' ^^'^'. ^^^'"S 3 m. 4 fur. 18 rd. 13 tt. and 8 m. from 20 miles? 21. From 18 C. of wood take 3 C. loo ft. .000 c. ,n. » 22. From 17 T. take 5 T. liift. 765 in. 23. From 169 gal. take 76 gal. 3 qt. i pt. 24. From 83 yrs. take 47 yrs. lomos. 27 d. 18 h 50 mm. 14 sec. ' "• 25. Anna was born on the 7th of November, 1867 • Sara was born on the 12th of July, 1880. How much older is Anna than Sara ? 26. Frances was 15 years of age on the 27th of May, 1893 ; when was she born ? ' ^ 27. Shakespeare was born on the 23rd of April ^i^liilfon bVnV"" ' "°"^'^ '' '''' ''''' •' -^- 28. What is the difference of time between October Tbtn, i«92, and August 9th, 1894 ? COMPOUND MULTIPLICATION 89 Exercise XCVIII. Multiplication of Compound Numbers is the method of finding the sum of any compound number when repeated a given number of times. (I) (2) (3) i s. d. ;f s. d. / s. d. 15 5 8i 2 19 II 7i 3 25 17 Ill 5 (4) (5) (6) CWt. lb. oz. T. CWt. lb. CWt. lb. oz. 28 17 10 6 24 15 12 7 29 8 15 (7) (8) (9) lb. oz. dr. m. fur . rd. ft. deg. m. fur. rd. 25 14 13 9 87 7 14 "1 28 12 6 18 8 (10) (") (12) rd. yd. ft . in. m. yd. ft. fur. rd. ft. in. 33 3 2 9 9 175 1327 2 II 29 31 16 II 10 {13 t (14) cu. yd. ft, in. cu. yd. ft. in. 763 21 1 123 7 1026 •9 1476 9 90 COMPOUND Mri.lII'l.ICATION. 15. What is the per yd.? [6. If; Exercise cost ( XCIX. 7 yds. of cloth at i8s. pd. travel 10. If a man travel 12 m. 3 fur. 29 yds, in one «av, how far will he travel in 9 days ? ^' ^hl' ^n Q ''^^'■^ P^'oduce 2T. i3cwt. 19 lbs. of hay, what will 8 acres produce? ^ 18. If a family consume 39 gal. 3 qt i pt of molasses in one month, what quantity will suffice for one year ? 19- If 8100 will buy 2 A. 3R. 15 p. 30 yds 8 ft |°2oo?°^ ^^''d la"d, how much can be bought for 20. Joseph Smith cuts 2 C. 97 ft. of wood in one day; how much will he cut in 9 days? ' (by factors.) 21. What is the cost of 24 yds. of broadcloth at ^2 7s. I id. per yard? 22. Find the cost of36o tons of iron at -^2 7s. rid per ton. '^ /=ms. 23 If a man travel 3 m. 7 fur. 18 R. in one day : how far would he travel in 30 days ? 24. Ifa load of hay weigh 2 T. 18 lb., what would be the weight of 84 similar loads ? 25. How much can I buy for $62, if for $1, I can buy 17 lb. 10 oz. 13 dr.? 26. How far can a man travel in 38 days, if he gravels 17 m. 3 fur. 19 rd. 3 yds. 2 ft. 7 in. in one 27. If one acre will produce 27 bus. 3 pk. 6 qt i nt of corn, what will 98 acres produce ? ^ ^ • 28. One ton of iron will buy 13 A. 3 R 14 p fiV'u^^^- ^^'"- of land; how many acres will lo 1. buy? 29. Ifa ton of copper ore will purchase 17T. 14 cwt. 3 qr. 18 lb. 14 oz. of iron ore ; how much can be purchased for 450 tons ? COMPOUND DIVISION. 91 Exercise C. Division of Compound Numbers is the method of dividing a compound number into any given number of equal parts. (I) (2) (3) i s. d. I s. d. i s. d. 2) 12 13 4 3) 68 14 9 5) '27 9 7 4) (5) (6) i s. d. cwt. lb. oz. T. cwt. lb- 6) 116 14 4i 6) 113 5 12 7) 103 II 9 (7) (8) (9) lb. 02. dr. m. fur, rd. ft. fur. rd. ft. in. 9). 143 5 5 6) 587 4 8 12 10) 98 4 2 (10) (n) (12) deg. m. far . rd. rd. yd. ft. in. m. fur. yd. 8) M5 33 2 loi 9) 213 2 9 5) 100 6 200 {13) (14) (15) bus. pk. qt bus. pk. gal. qt. C. ft. 2) 25 3 I 4) 113 2 I 3 2) 759 72 (16) 8) A. R. P. yd. ft. in. ) 139 I 17 18 I 30 92 COMPOUND DIVISION. 11 fr Exercise CI. 17. What is the cost of r yd. of cloth, when 7 yd can be bought for ;^6 i is. 3d. ? hl\ ^^^„T" ^''''''f . "' "^^ ^ ^"'■- 21 rd. in 9 days, how far will he travel in i day ? ^ >»» 19- IfSacres produce 21 T. 5 cwt. 24 lb. of hay what will I acre produce? ^' 20. Samuel Johnson bought 7 loads of timber measuring 55 T. 19 ft. ; what quantity in each load? 21. When 8 acres of land produce 917 bus. x nk 4 qt. of grain, what will i acre produce ? (by factors.) 22. When 24 yds. of broadcloth are sold for X)57 10s., what is the price of i yd. ? the'cost'of °tonf'"" '"' ^''''' '''- °'- ^^'^^^ '^ 24 If a man travel 117 m. 7 fur. 20 rd. in 3oMays, how far will he travel in i day ? ^ '^^^^ ^^\' "^f, ^1 '^^^^ °^ ^^y '""^'Sh 201 T. 6 cwt. 12 lb., what will I load weigh ? ' Arlt ^?^" ^^ ^""^'^l '^'^"''■^ 567 yards for their dresses, how many yards will i lady require? 27. When 132 sailors require 470 yd. of cloth to make their garments, how many yards will be re- quired for I sailor? icwfcl^stV ''^^' °^''°" """'^ -^'^^ ''■ ^^'' '''^^' "^'^ 29 If $62 will buy 1095 lb. 14 oz. of beef, how much may be obtained for 81 ? 30- What will one acre produce, if 98 acres pro- duce 2739 bus. I pk. 5 qt. of grain? 31. W'hen 19 tons of iron will buy 262 A. 3 R 37 p 25 yd. I ft. 40 in. of land, how much may be obtained for I ton ? MISCELLANEOUS- LXERCLSES. 93 Exercise CM. 1. A man bought a coach for ;^2q ros., a horse for ;624 6s. 8d and a harness for £(, 13s. 4d. ; what was the whole cost ? 2. A note, dated Dec. 22nd, 1890, was paid Nov. 9th, 1892 ; how long was it from its date to its payment ? 3. If a man travel 20 m. 4 fur. 20 rd. in a day : how far will he go m 25 days ? (Do by factors.) 4- If a steamboat run 174 m. 26 rd. in 14 hours, how far does she run in i hour ? 5. A farm containing 322 A. 90 P. is to be divided equally among 13 persons ; how much will each have ? 6 A cartman drew 38 C. 5 eft. 6 cu.ft. of wood, at 30 loads ; how much did he average per load } 7- If 24 barrels of flour cost ^98 i6s., how much will 1 barrel cost ? 8. If a vessel sail 136^ 16' 12" in 27 days, how far does she sail on an average per day ? 9. A merchant bought a piece of cloth containin<^ 68 yards for 851-00, he sold it again at 81-29 per yard ; how much did he gain ? 10. How many pounds of coffee can you buy for ^15-01, at 19 cents a pound? 11. An auctioneer sold 30 bags of cotton, each containing 408 lbs. at 14 cents 6 mills a pound ; what is the value of the whole ? 12 If a man walk 3 m. 5 fur. 36 rds. in an hour, how far can he walk in 7 days of 1 2 hours each ? 13. If one man receives 822575 more than another, and both receive 813 15 -90 ; what sum did each obtain.? r ^t i^ ^^'^°^ bought 24 yards of one kind of cloth for 878 and 36 yards of another : price per yard ? what was the difference in kind for 8112-50 94 MISCELLANEOUS EXERCISES. Exercise CI 1 1. 15. How many barrels of flour may be bought for f 1 28*25, at !?6-75 per barrel? 16. Suppose a stage goes 4 times as fast as a pedestrian, and a railroad car 5 times as fast as the stage, and that they all go 1000 miles ; how far does each travel ? 1 7. There is a vessel containing i hhd. 6 gal. 3 qt of wine, it has a pipe which discharges 23 gal. i qt. in an hour ; how many hours will it take to empty the vessel ? 18. If a man travel 41 m. 4 fur. in 4 hours, how far will he travel in i hour ? how far in 1 1 hours ? 19- An Englishman paid £12 2s. yj^^d. for 18 yards of cloth ; what did he i)ay for i yard ? what should he pay for 54 yards ? 20. What quantity of rye, at 92 cents a bushel, may he bartered for 46 bushels of oats, at 72 cents a bushel ? 21. A farmer raised 200 buS. 2 pk. of barley, 175 bus. 3 pk. of corn, 320 bus. i pk. of oats, and 225 bus. 2 pk. of rye ; what was the whole quantity of grain raised ? 22. A person having bought 325 A. 80 i\ of ^and, sold 165 A. 65 P. of it ; how much had he remaining ? 23. If a railroad car run 148 miles 160 rd. in 8 hours, what is the average rate of speed per hour? 24. A man purchasing 2 A. 140 P. of land, reserves Yi an acre for his own use, and divides the remainder into 4 equal lots ; how much does each lot contain? , 25. If from a piece of land containing 5 A. 120 P. 2 A. 76 P. be taken ; how many square rods will remain ? 26. Divide a tract of land containing 1299500 square rods into 25 farms of equal area ; how much will there be in each ? MrsCELLANEOrs EXEkCr-SES. Exercise CIV. 95 he gam on ;!je whole ? ' "^^ ^^^'^ many barrels must he use ? "^ ' '™"' . nie "i^IreT"'' "'^ °' '^"" "•'" -''°^e a farm is it ::^^::^ •^r-'' ^ '^-"'^ f°-- »-^- 35- A stationer bought j6 i.rn«= •, ^ i . pencils forS[X,->s. h„l. "f ^'^ ' °°^'^n le'id- What did he gain 'in 'all T ^'"\l^t '^^' ^'Pi'-'" •' apiece ? ^ ""' '' ''^ =^'<1 ">em at 6 cents 4 ioiiaS,°:rc7„,ratrd z'^"™ •=^" ^^ "-«'" f- 4JLS::d?r&wrd^^;r-'"'*^^>- ^^3^ Multiply 8385-.0 by 4, and divide the product tra?Lf.Tegrifht.^:o!;r-vould'?t"Skrr* travel around the earth ? ^"^^^ ^'"^ ^^ 40. A grocer bought i'> himdr"'!-— • < ^ - for 887-50, and solV i, "at n cetsT' ° V"'''" pound; what was the gain? ^ "'"' P" 9° CANCELLATION. Exercise CV. I. What is the quotient of 48 divided by 24? 48 24 OPERATION. 3x^X2 3 X ^ = 2, Alls. 3- X . Divide the product of 1 2 x8x6 by 8x4x3. OPERATION. 3 2 .1? X j?i X 0: 3 X 2 u I T ~ = 6, Alts. P X i X ^ 1 Divide the product of 2? 6x5x3- OPERATION. S 3 ;?^xI8x4x3 5x3x4 X 18 X 4 X 4 by 7 X x ^' GO = — = 8i,A,is. 7 Find the value of : (4) 36 X 10 X 7-f.by the product of 14 x 5 x 9 (5) 21 x8x4ox3-f.by the product of 12x7x20 (6) 64 X 18 x 9-^by the product of 30 x 27 x 24 (7) 120 X 44 x6-rby the product of 60x11x8' (8) 16 + 24 X 484-by the product of 32 x 36 x -8 (9) 12 X 7 X 5-:.by the product of 2 x 4 x 3. "" ' (10) 16 X 5 X 10 X i8-rby the product of 8 x 6 x 2 + 12 (11) 84x12 xiS^by the product of 21 x?ix 9 (12) 72 X 18 X i6.^by the product of 24 x 16 x 9 (13) 22 X9 X 12 x5-i-by the product of3x 11x6x4 (14) 76 X 34 X 96-^by the product of 17 x 51 x 32. 15) 25 X 7 X 14 X 36-rby the product of 4 x 10 x 21 x C4 ' 16 1S4 X 145 X 80-J-by the product of 23 x 29 x 60 |7 28x27x21 X 15 xiS-fby the product of 7x54x7x3x9 X 20 : 6 ^ 5 X 183 X IS X 7o^by the product of 3 x ,4 , ^ ^ 5 (19) 213 X ,' 4 X 190 X 264-J-by the product of 30 x 56 x 36. ig equal factors er the relation 3 by 24? 3y8 X 4 X 3. X 4 X 4 l)y Si,Aus. 20. 8. 2 + 12. 5x4 21x54. 60. 54 X 7 X 3 X 9 5 V 14 X 9 X 5 CANCELLATION. Exercise CVI. 97 . ^°- How many tons of hnv of o 90 cents a bushel ? ^ "'''^'= °^ 'y^- ™rth be^i. :s™™:?- ™re-r.^ --'• --^ 24- How many suits of clothes it 8.5 be made from 5 pieces of rloth f' u '' ™"' '=^" 24 yards, at $3 a yaS ? ' ''^ P'^'^^ containing ccn?sa1>o1,™d!»'dt:dirmT"'^ "^ ^'--' ^'9 gallon ; how many eSon ^?f' '• ""^ « «"'= ^ cheese? ' * '°"^ °f molasses paid for the Pounds!°at ,3e1nt'anl''r"'' ''''' "-gh'ng 56 ™ent 3 boxef of tea eTh ^'^"^ ''"'"'^ '" P^y- wha, was the tea worth a pound ?'"'"^ '*° P^""'^'' Ioad'co«17„g'74'4:°:,f °f/PP>- 'o market, each p";rtrbliiv"^^^^ pounds; w^hat:She1ugTwU?poS^ "^ 5/plndrrrrl\:^™-P.-hco„tai„i„g SnVgTbSl^^r?"^^^^^^^^^^^^^^^^ many barrels did he receivel- "'"'' * ''"'''el; how .29. A man sold a loaHc r^f i^ i taming 60 bushels, at o centin h t' f""^ '^^'^ ^°"- in payment 2 pieces of cloth . u'^'^' ^"^ ^^^^'^'^d 35 yards ; .hft was^ the dot' w'th ^Z r"^'""^ 98 MISCELLANEOUS. it on Friday; what wafthe J' '^ °" Thursday and 12 received per day ? ^^ ^'^^'"^^^ ""^ber of marks '^ 9 h":' 1 fh':: and °8r t" .^"P-'->y ^o h of hou. and ,he' a4?4t ^i^ie he'^'S T ' "-^- o- Two men earnpH « ^ , of each ? ■"ore than the otherfh^t'Lch'dM''' ?™'"« »'5o 7- A merchant save t, ^"""^ ^^"' ? ' tutions, giving to tlfe onefec° '° ""° <=^^"tMt insti- 8 ' Slide"'*" ''^"^"^ '° - "h"' "" '° "' °*"'- J^mes, giving JohnTmltl,''"'""* J^^n, Joseph and y- ir «^So buy 4 A ^ P how much will $4800 buy? '^- ^^- ^ ^^- ^f- o( land, a 04, 'ISO MISCELLANEOUS. Exercise CVIII. 99 so thatTm.^r^'' T'} ^^ ^"btracted from loooooo maLder? ^>' '' ^'"''' ^^'^S without leaving a re itm^b:^d;St:S^^^^;^-3o8o,osothat 83;a6o1>f ;fi ^'^ ''^^^^"- between 87604. and and';4'x S^Vp ^'^ '^^"^"^^ ^'^^^^ 393X476^556 14. A farmer sold a horse for $140, a cow for «2c cete for fhTh'^'^r^^'^ ^°^' muth moreVd he r^' ceive for the horse than for the cow and sheep ? and'boVh"7yifdL'f"nk^^^^^ a shawl for .^r s ^c a bo i./? %.'"''' ^'- ^'"5° ^ >'d' for «!r- J J^ '^'- ^°""«' *or ^8. a pa r of gloves for ^r 25 and a pair of shoes for 81-7^ • how mnrh money had she remaining ? ^^' "'"''^ 16. A grocer bought 12 firkins of butter each To7hr'Lr.Ti' '' '"'-/ P°-'= he^aft^r:: d soia 5 tirkns at i6c. a pound, and 7 firkins it t^p o pound ; what was his whole gain ? ^ bmei thT.'h"' 'i^ '56 barrels of flour at S6-8o a wh ch' was Tal"' ^''^ ?°" ^'^" ^^^ -heat from the wheat? ^' "°'' ^'"^^ ^^^^ ^^^ the cost of itt'nth^^^'^''^^' worth 825640, has demands against h. i ^^r"' "^^ ^9376 ; after these claims areS the remamder ,s to be equally divided among c S '.iduals ; what will each receive ? ^ ^ ^'""^'^"^'^^ hay cost 83 1 1 70, how much J ton cost ? 20. How will can'be bo^uIhUo?,^"^' ^*"'' " ^''^ ^ "-'■''. MISCELLANEOUS. Exercise CIX, > cosrperbreu""'^ °'^PP'" ^°^' *339, whar is ,he ca^betu^h! fo^rk'fif;'' """ """^ '"•'hels of cor,, 23. If 25 yards of cloth can be houcrht fr.. c how many yards can be bough. lor ^/''-fo/'^^-^S, a cubic yard ? °^ ""^ excavation, at ,,:/c. l^Ul^^^ r^trdsrstr-^"-' °^^ ^°'- 3pl^trbeTi^dtS-^\\3^---V-^- "f^o«r4K^°:f.dfa7^^H'"'^ ''"-■-'' 30- What is the freight on i,,,./ „„ j , Montreal to Quebec, at'sjc ^er^o'cfhs^"""^' ''°"' »ir.5l'rnc:i"^'^'''-°fP-''-ds cost, ar Jan. 3. .'09 X"'iic:.^t X'^. ¥eb°"r; ''^^■ -ushn,at AMc: March .,^6 yds.- hie^ ^''^• ,^.ft'?',7 '*■ 75 yds. Irisi; linen lace at 9. '/c mg, at i> at 42c. ; 44 yds. MULTIPLICATION TABLE. The Product is the result obtained. times times times times times times times times times times times times 1 are 4 a are 8 3 are i^ 4 are 16 5 are 20 6 are 24 7 are 28 8 are 32 9 are 36 10 are 40 11 are 44 12 are aS times times times times times times times times times times times times 1 are 7 2 are 14 3 are 21 4 are 28 5 are 35 o are 42 7 are 49 8 are 56 9 are 63 10 are 70 11 are 77 12 are 84 10 tiines 10 times 10 times 10 times 10 times 10 times 10 times 10 timps 10 times 10 times 10 tiines 10 times times times times times times times times tines times times times times times times times times timc)^ tittles tittles times times titties times titiies 1 are 2 are 3 are 4 are 5 are 15 o are 18 7 are 21 8 are 24 9 are 27 10 are 30 11 are 33 12 are 36 I 2 3 4 5 6 7 are are are 24 8 ! 9 iC 9 are 32 are 40 are 48 are 56 are 64 are 10 are So titiies titties titties times times times times times titties times times times 11 are 12 are II times II times II titties II times II times II times II times iz times II times II times I' titties II times 1 are 6 2 are 13 3 are 18 4 are 24 5 are 30 6 are 36 7 are 42 8 are 48 9 are 54 10 are 60 11 are 66 12 are 72 1 are 9 2 are 18 3 are 27 4 are 36 5 are 45 6 are 54 7 are 63 8 are 72 9 are 81 10 are go 11 are gg 12 are 108 7 are 84 8 are 95 9 are I08 10 are I20 11 are 132 J 2 are 144 "A , DIVISION TABLE. Division is the process of finding 4iow many time«! nn^ number is contained in another of the same kS „J"=,.^"°TJ^^JJ? the result obtained, and shows how many times the divisor is contained in the dividend in in in in in in in in 2 2 3 3 times times 4 4 times 5 5 times 6 6 times 7 7 times 8 8 times 9 9 times 4 4 4 4 4 4 4 4 n 8 2 n 12 3 n i6 4 n 2o 5 n 24 6 n 28 7 n 32 8 n 36 9 times times times times times times times times in 14 n 21 n 28 n 35 n 42 n 49 n 56 n 63 2 times 3 times 4 times 5 times 6 times 7 times 8 times 9 times 10 in 20 10 in 30 10 in 40 10 in 50 10 in 60 TO in 70 10 in 80 8 10 in 90 9 times times times times times times times times 2 in 4 2 times 2 m 6 3 times 2 m 8 4 times 2 in 10 3 times 2 in 12 6 times 2 m 14 7 times 2 in 16 8 times 2 in 18 9 times 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 in 10 in 15 in 20 in 25 in 30 m 35 in 40 in 45 in 16 m 24 in 32 in ao in 48 m 56 n 64 n 72 2 times 3 times 4 times 5 times 6 times 7 times 8 times 9 times 2 times 3 times 4 times 5 times 6 times 7 times 8 times 9 times II II II II II II II II 22 2 times 33 3 times in 44 4 times i^ 55 5 times in 66 6 times in 77 7 times in 88 8 times in 99 9 times 3 in 3 in 3 in 5 in 3 in 3 in 3 '"n 3 in 6 in 6 in 6 in 6 in 6 in 6 in 6 in 6 in 6 2 times 9 3 times 12 4 times 15 5 times 18 6 times 21 7 times 24 8 times 27 9 times 12 2 times iS 3 times 24 4 times 30 5 times 36 6 times 42 7 times 48 8 times 54 9 times 9 9 9 9 9 9 9 9 in in in in in in in in 18 27 36 45 54 63 72 81 2 times 3 times 4 times 5 times 6 times 7 times 8 times 9 times 24 2 times 36 3 times 48 4 times 60 5 times 72 6 times 84 7 times 96 8 times 12 in 108 9 times 12 in 12 in 12 in 12 in 12 in 12 in 12 in I i N L C B N C