Q lOZ 536 UC-NRLF B 3 IBb BbT i>&^ ■Al\IfHMETi6' I^IBRARV OF THE University of California, OTl^r OF^ Recerced CJ^t^^j/^ • iSg n Accession No.6 7d' J J^ • Class No. Digitized by tine Internet Arciiive in 2008 witii funding from IVIicrosoft Corporation http://www.arcliive.org/details/franklinkeytowriOOseavricli KEY TO THE FRANKLIN WRITTEN ARITHMETIC BY EDWIN P. SEAVER, A. M. HEAD MASTER OF THE ENGLISH HIGH SCHOOL, BOSTON ; FORMERLY ASSISTANT PROFESSOR OF MATHEMATICS IN HARVARD COLLEGE GEO. A. WALTON, A. M. AUTHOR OF WALTONS' ARITHMETICS, ARITHMETICAL TABLES, ETC. Uyi7BESn BOSTON WILLIAM WARE AND COMPANY [Successors to Brewer and Tileston] 1879 6 7 y Si Copyright By E p. SEAVER and G. A. WALTON. 1878. University Press: John Wilson & Son, Cambridge PREFACE. The principal part of this Key is made up of answers to the Examples for the Slate, including answers to the Exer- cises upon the Drill Tables, in the Franklin Arithmetic. In a few instances, as in Partial Payments, in the Average of Payments and of Accounts, the partial results are given, or the processes indicated. The Key is designed especially to save labor for the teacher; it is to give him the meanS" of testing the results of the pupils' work, without having to do all the work himself. The pupil should not have the answer to his problem under his eye at the outset, lest he perform his work with refer- ence to that ; he ought rather to form the habit of working solely from the conditions given in the statement of the problem. It would be better, even then, that he should be able to test his own work by some method of proof, or by reviewing his processes. But next to this, and perhaps all that can be expected in the majority of cases, would be to let him compare his result with that given in the Key. Great pains have been taken to have the answers correct. Yet should the book be found to be wholly free from errors, it would be a gratifying surprise to the authors. And they would earnestly request that any errors which may be discovered be reported to the publishers, and the requisite corrections will be promptly made. Boston, August, 1878. CONTENTS PAGE Answers to Examples ^ Answers to Drill Exercises 33 to 85 Simple Numbers . . oo United States Money ^^ 57 Common Fractions ' fi4 Decimal Fractions . • • " Compound Numbers 78 Percentage Extraction of Roots ^ KEY. Page 5. Ex. Ans. Page 19. Ex. Ans. 57. 0.039. Ex. Ans. 9. 4,000. 58. 7.005. 18. 1,038 miles. 10. 4,400. 59. 25.0049. 19. $77,277. 11. 4,040. 60. 0.00306. 20. 12.297. 12. 4,004. 61. 0.05047. 21. $1814.155. 22. 5.17 miles. Page 6. Page 15. 23. $33.70. 13. 8,422. 1. 12,880. 24. 39.023 acres. 14. 356,890. 15. 60,065. 2. 757. 25, 35.625 miles. 16. 1878. 3. 11,347. 26. $160.13. 4. 78,239. 27. $1,123.66. Page 7. 5. 664. 28. $1,034.33. 17. 46 thoiis. 520 units. 6. 1,135. 29. $886.84. 18. 406 tho. 502 units. 7. 135.237. 30. $289.87. 19. 1 million, 1 tbous. 8. 4.019. 31. $1,932.19. 110 units. 9. 20.429. Page 22. 1. 141 oranges. 20. 21. 85,503,007. 906,218,028. Page 18. 22. 3,037,900,200. 10. 2,316 bushels. 2. 321 acres. 23. 18,000,000,004. 11. 6,776 pounds. 24. 40,700,000. 12. 12,785. Page 23. 25. 37,099,009,000,000. 13. 3,925 yards. 3. 571. 14. 3,023 pounds. 4. 102. Page 11. 15. j 1,191 barrels. 5. 8,272. 53. 0.7. I $ 8,259. 6. 654. 54. 0.07. 16. 1,604 miles. 7. $357. 55. 0.007. 17. j 7,329 acres. ^ 621,472 trees. 8. 78 years. 56. 0.25. 9. 972 years. KEY Page 24. Ex. Arts. 10. 2,771 oxen. 11. 473 birds. 12. 178.5. 13. $11.72. 14. 999.999. Page 26. 15. 750 bushels. 16. $297. 17. 2,776 acres. 18. 3,948 feet. 19. $1,881.87. 20. 84 years. 21. $6,175. 22. 215,174 bushels. 23. 1,522 miles. 24. 35,884. 25. 27,333. 26. 78,883. 27. 110,121. 28. 202,837. 29. 298,122. 30. 128,623. 31. 881,803. 32. 3 times; 440,111 over. 33. 139,886 feet. Page 27. 34. 194.85 acres. 35. 0.315. 36. 0.515. 37. 76.87. 38. 7,551.5544. 39. 906.975. 40. 584.995. 41. 11.086. Ex. Ans. Ex. Ans. 42. 883.83. 25. 40,907,020. 43. $89. 26. 150,000. 44. 715 persons. 27. 112,000. 45. $2,058. ( 168,300. 46. $20,060. 28. ] 1,683,000. 47. 162 miles. ( 16,830,000. 48. 338 miles. 29. 21,440,000. 49. 712. 30. 25,628. 50. $1,340. 31. 66,912. 32. 18,763. Page 30. 33. 32,215. 1. 980 pounds. 34. 2,573,284. 2. 1,032 pounds. 35. 2,740,356. 3. $2,191. 4. $4,275. Page 33. 5. 2,560 miles. 36. 850. 6. 407 days. 37. 4,802. 7. 63,360 feet. 38. 79,576. Page 31. 39. 368,400. 40. 4,378,125. 8. 5,124 ^-OSl- 33. $504.65. 34. $939.04. 2d prin. 400.50 from Sept. 16, 70, 35. $ 165.30. 51.^ Int. . . Amt. . 44.86 to July 28, '72. 36. $408.95. 445.36iT-ly-10mo.12d. 37. $937.37. 2d payt. 3d prin. 50.00 < ^^^i^' ^-112. Page 215. 395.36 from July 28, '72, Int. . . 2.44 to Sept. 4, '72. 38. $4.65. 39. $4.62. $397.80 T. Imo. 7d. Ratio, 0.0061. 40. $9.17. 41. $11.85. *- Ans. I 397.80 42. $4.27. 43. $4.92. 1 ' Prin. . $2000 from June 15, '73, 44. $28.09. Int. . . 192 to Aug. 27, '74. 45. $113.00. 52.^ Amt. 46. $44.38. 2^92 T. 1 y. 2 mo. 12 d. j^^Q Ratio, 0.096. 47. $9.06. Payt. . 48. $360.55. 49. $ 18.90. $742 Ans.%U2. 20 KEY. Ex. Principal, . Interest, • . Amount, 1st payment, 2d principal. Interest, . . Amount, 2d payment, 3d principal, Interest, . . Amount, 3d payment. Amount, Interest, . . Principal, . Interest, . . Amount, 1st payment, 2d principal. Interest, . . Amount, 2d payment, 3d principal, Interest, . . Amount, 3d payment, 4th principal, Interest, . . 1000.00 from October 5, 1874, 10.50 to December 8, 1874. T. 2 m. 3 d. Ratio, 0.0101. 1010.50 125.00 885.50 from December 8 22.73 to May 12, 1875. \ T. 5 m. 4 d. 1874, 908.23 316.00 ( Ratio, 0.025? 592.23 from May 12, 1875, 10.96 to September 2, 1875. T. 3 m. 21d. 603.19 417.00 186.19 5.80 6191.99 935.00 20.88 Ratio, 0.0185. from Septemlier 2, 1875, to March 9, 1876. T. 6 mo. 7 d. Ratio, 0.031^. Ans. -S 191.99. 955.88 125.75 from September 1, 1875, to January 15, 1876. T. 2 m. 3 d. Ratio, 0.0221. 830.13 from January 15, 1876, 59.49 to March 25, 1877. ^-^T.ly.2mo.l0d. 250.00 639.62 4.80 644.42 300.00 344.42 85.59 $430.01 Ratio, 0.071§. from March 25, 1877, to May 10, 1877. T. Imo. 15 d. Ratio, 0.007i. from May 10, 1877, to July 1, 1881. T. 4 y. 1 mo. 21 d. Ratio, 0.2485. Ans. $ 430.01. >^ Ex. 55. Principal, Interest, . Interest, . Amount, 1st & 2d payt 2d principal Interest, . ^ Amount, Principal, Interest, , Amount, 1st payment. 56. ^ 2d principal Interest, . Interest, . Interest, . 2d & 3d payts. . KEY. 425.00 from July 13, 1869, 52.91 to August 9, 1871 (2y. 27 d. 0.124^). 32.44 to Nov. 17, 72 (1 y. 3 mo. 8 d. 0.076i). 510.35 200.00 required to cancel interest. 310.35 from Nov. 17, 1872, 12.16 to July 12, 1873 (7 mo. 25 d. 0.039J). $ 322.51 Ans. $322.51. $ 800.00 from July 15, 1870, 42.47 to April 18, 1871 (9 mo. 3 d. 0.053J2)- 842.47 100.00 742.47 from April 18, 1871, 88.50 toDec.31, 72(ly.8mo. 13d. 0.1193^). 75.65 to June 14, 74 (ly. 5 mo. 14 d. O.lOlf). 56.30 to July 14, 75 (1 y. 1 mo. 0.075f). 962.92 132.50 required to cancel interest. $830.42 57. Ans. 1830.42. Page 219. Prill. $ 10,000.75 from Oct. 3 to Dec. 3, 75 (2 mo.), amounts to . . $10,100.76 672.41 " Nov. 5 " Dec. 3 (28 d.) amounts to $675.55 7,682.42 ' Nov. 15 " Dec. 3 (18 d.) 7,705.47 437.98 ' Nov. 16 " Dec. 3 (17 d.) 439.22 833.42 ' Nov. 19 " Dec. 3 (14 d.) 835.36 9,655.60 A71S. $ 445.16. $445.16 58. i Page 220. Prin. $1,200.00 from April 1, '75, to April 1, 76 (1 y.), . . . 161.08 " April 12, 75, " April 1, 76 (11 mo. 20 d.),$ 172.04 224.14 " July 19, 75, " Aprill, 76 (8 mo. 13 d.), 235.17 17.90 " July 28,75, " April 1, 76 (8 mo. 4 d.) . 18.75 100.25 " Jan. 29, 76, " April 1. 76 (2 mo. 3d.) . 101.48 Ans. $ 756.56. $1,284.00 527.44 $756.56 22 KEY. Page 221. Ans. 10 mo. 3 years. 1 y. 6 mo. ly. 4 mo. 12 d. 5 y. 6 mo. 20 d. 5 y. 4 mo. 3 d. 1 y. 6 mo. 6 mo. 100 y. ; 50 y. ; 33 4 mo. ; 16 y. 8 in 10 y. 68. 8^^. 69. ^fo. Page 222. 70. A\%. 1 9f. 71. 72. ^%. 73. 2%. 74. 51%. 10%. 75. Page 223. 76. $125.00. 77. $100.00. 78. $1,020.00. 79. 80. 81. 68.20. 72.00. 600.00. 82. $600.00. 83. $2,063.65. 84. $400. 85. $83.86. 86. $300.00. 87. $200.00. Page 225. 88. $25; $2.50. 89. $97.08; $3. Ex. Ans. 90. % 197.04; $ 2.96. 91. $167.69; $8.11. 92. $650; $11,371 93. $1,540; $69.30. 94. $590.16. 95. $ 123.64. 96. $ 1,533.85. i Received for grain, . $ 1,650.00 97. ^ P. W. of $ 1,500, . 1,442.31 ' Ans. $207.69 i Cost of books, $ 152.00 98. \ P. W. of % 240, 235.87 ' Gain, .$83.87 ^ns. $83.87 Page 227. 99. $4.13; $745.87. 100. $18.08; $981.92. 101. $8.20; $291.80. 102. $14.00; $686.00. 103. (Time, 95 d.) $9.90; $490.10. Page 228. UDue Feb. 28/Mar. 3. Time, 63 d.) ■ ($4.57; $285.43. 105. $5.25; $494.75. 106. $4.11; $252.73. ^ K^^ie April 30/May 3. Time, 56 d.) ■ ($9.33; $1,190.67. Amount of $324 for 1 y. 3d. at 6%, $343.60 Discoimt of $ 343.60 for 99 d. 108.-^ at 7%, 6.61 Avails, $336.99 I Ans. $336.99. KEY. 23 Ex. Ex. Ans. 'Amount of $4000 for 132. $2.86. 6ino. 3d. at 10 ^,$4, 203. 33 133. $6(\0(X Disc'nt of $4,203.33 109. < for 88 d. at 10%, . 102.75 Page 23a ^^^ j $102.75, discount. ^ ' I $4,100.58, avails. 134. $234.32. 135. $915.71. 136. $85.16. Ans. ^^^^ 229. 137. $45.06. 110. i ^ 80.44. 138. $2,396.56. 111. $500.00. 112. $ 1,500.00. 113. $950.00. Page 237. Due. Items. Days. Int. March 31, $ 400 'By true discount, $178,571 April 30, . 300 30 $3.00 114. < By bank discount, 175.867 139.^ May 30, . 200 60 4.00 Ans. $2.70 1 day's iut.of $900 = 0.30) 7.00 (23 ^ Bank discount 1 oiyjo no (Time, 117 d.) i * '9 ^ '^-^"^ .Mar. 31 + 23d. = Apr. 23. Ans. 115. < True discount I 171 nn (Time, 3 mo. 24 d.) / ^'i-'^"^' Due. Items. Days. Int. Xov. 5, . $ 800 Ans. $ 7.83 Dec. 8, . 800 33 $8.80 116. i M92.61. 140.^ Feb. 3, . 800 90 24.00 117. ( Time, 34 d.) $497.17. lday'sint.of$2,400= 0.8) 32.80 Page 230. 41 118. i ) 506.00. ^Xov. 5+41 d. = Dec. 16. Jus. 119. ( Time, 2 mo.) $4.95. Due. Items. Days. Int. 120. ( Time, 64 d.) $5.33. Sept. 10, . $ 900 121. i ai7.80. Oct. 21, . 2,250 41 30.75 122. i 5 421.38. 141.^ Oct. 28, . 1,050 48 16.80 123. i 5 310.05. 1 day's int. of $4, 200 = 01.4) 47.55 124. < > 33.33. 33.9 125. ^ I 1.20. Sept. 10 + 34d. = Oct.l4.^;i5. 126. .^ 5 65.00. f Due. Items. Mos. Int. 127. 1 $1.33x10x5 ^, „^ 9x4 ^^•^^• Page 232. > 238.20. $430 270 4 $10.80 300 3 9.00 128. i 142.- 1 mo.'s int. of $1 ,000 = $10) 19.80 129. « 426.03. 1.98 130. 1 2,513.04. 1.98mo. = lmo. 29 d. Ans. 15 mo. -H 1 mo. 29 d.=6 mo. 29 d. 131. 6 2,217.44. 24 KEY. Ex. 143. 145.- Ans. Ex. 6 mo. 13 d. 1 144. 1 r Due. Items. Mos. May 10, . . $ 200 July 15, . . 300 %Q July 3, . . 520 54 July 18, . . 250 69 1 day's int. of$ 1,270 = 0.421) May 10 + 51 d.= June 30. A <■ Due. Items. Days. April 10, . . % 438 April 28, . . 254 18 April 29, . . 145 19 July 7, . . 300 88 July 12, . . 159 93 Ans. 5 1110. Int. $ 6.60 9.36 5.75 Days 13 131 = 0.12 Days. 56 63 69 76. 21.71 146.- 51 ns. June 30, 1876. Int. $1,524 0.9181 8.800 4.929 1 day's int. of $1,296=0.432) ^ April 10 + 37 d. = May 17. At r Dp. Date. Items. Days. Int. April 1, . $1,000 July 8, . 119 98 $3.89 $1,119 $3.89 16.17U 37 s. May 17, 1876. ige 240. Cr. Date. Items. April 14, . $1,393 Aug. 10, . 94 $1,487 1,119 . Int. $6.04 4.10 147.- $10.14 3.89 April 1 + 51 d. = May 22. f Dr. Date. Items. Days. Int. June 5, . $400 Sept. 5, . 600 92 $8.4 Sept. 15, . 200 102 6.8 1 A 1 lay's int. of $ 368 = ns. May 22, 1877. Cr. Date. Iteins. July 31, $ 250 Aug. 7, 700 Aug. 13, 200 2) 6.25 51 Int. $4.67 14.70 4.60 148.^ $1,200 $25.2 1,150 23.9 $1,150 $23.97 1 day's int. of $50=0.016|) 1.2 74 June 5 + 74d. = Aug. 3 18. Ans. Aug. 18, 18 KEY. 25 Ex. Dr. Date. Items. Days. Int. Feb. 5, . . $ 600 Apr. 8, . . 420 62 $8.68 .68 $1,020 800 $ 1 day's int. of .$220 = 0.0 Feb. 5, 78-60d.= 7H De Dr. Date. Items Oct. 19, . $173 Oct. 14, . 315 Oct. 18, . 230 Nov. 30, 81 150.^ :799 602 Day i. Int. 25 $1,441 20 2.10 24 1.84 67 1.809 $7.19 Date. April 1, Mar. 16, Cr. Items. . . $500 . . 300 Days 55 39 . Int. $9,167 3.90 $800 Dec. 6, 77 $13.07 8.68 7. A71S. ) 4.39 60 Date. Sept. 24, Oct. 12, Cr. Items. . $500 . 102 Days 18 . Int. $0,612 $602 0.612 0.612 1 d.'s int. of $197=0.065§) 6.5; 100 Sept. 24 + lOOd. = Jan. 2, 77. Ans. Jan. 2, 1877. Date. April 6, Feb. 24, May 21, July 29, Dr. Items. . $340 . 582 85 . 2,200 $3,207 Days . Int. ■95 $10,767 II 54 10.476 140 3.967 209 153.267 $178.47711 Cr. Date. Items. Jan. 1, . $361 Apr. 15, . 4,000 Apr. 7, . 580 Int. Days 104 $138,667 96 18.56 157.227 $4,941 3,207 $1,734 $157,227 1 d.'s int. of $1,734 = Jan. 1 - 37 d. 0.578) 21.25 = 36.7 d. = Nov. 25. Ans. Nov. 25, 1877. Page 243. Ex. Ans. 1. $808.00. 2. $2,505.00. 3. $703.50. 4. $1,960.00. Ex. Ans. 5. $696.50. 6. $506.76. 7. $273.63. Page 244. 8. $2,430.00. Page 245. Ex. Ans. 9. $4,840.00. 10. $106.80. 11. $109.60. 12. $47.50. 26 KEY. Ex Arts. 13. 1366.55. 14. ^2,,000. 15. i>^400 10s. 16. 14,340.00. 17. 1905.25. 18. $2,500.00. Page 246. 19, 20. f $1,000 X 1.10|-$ 1,107.50 }$ 2,000 X 1.14 = 2,280.00 ' Ans. $3,387.50 $3,000 X 1.09^ = $ 3,277.50. Page 247. 21. $369.90. 22. 23.^ '3x1.021 ^,,^ 1.10 ^='^^- Ans. Mortgage ; 1^ ^ more. i $225x4xl00xl05i 24. j 4ixl00 * -1,050. ^7^5. $21,050 25. 26. 27. $ 94.20. Prill. Int.. Anit. Payt. 2d prill Int. . Amt. Payt. 3d prin Int. . Amt. $500.00 from May 10, 1875, 12.25 to Sept. 16, 1875. T. 4 mo. 6 d. Ratio, 0.0241 512.25 140.00 372.25 from Sept. 16,1875, 48.64 to July 28, 1877. 420.89 ) T. ly. 10 mo. 12 d. 50.00 < l^-'^tio, 0.130§. 370.89 from July 28, 1877, 2.596 to Sept. 3, 1877. \ T. Imo. 6d. Ratio, 0.007. Ans. $373.49. 373.49 Ex. Ans. 28. 3%. 29. 11 mo. 30. $600.00. 31. $179.25. 32. $49.27. 33. $400.00. 34. $20.46. Page 248. 35. $2.06. 36. $99.50. 37. $1,308.74. 38. 3 mo. 39. $1,251.13. 40. 6 T. 772 lb. 41. $39.36. 42. $437.93. 500X1.07^ = $2,687.50 Ans. $2,687.50. Length, 2 2\ yds. ; breadth, |^ yds. Com. $ 13.27. Eem. $ 530.73. $43.75. 3^ mo. 43. 44. 45. 46. 47. 48. 5% gain. Page 24». 49. $4,365.00. 50. $32.19. 51. 31^%. 52. 50 years. 53. $124.00. 54. $57.50. 55. $1.57. 56. 8 mills; $16. 57. $502.77. KEY. 27 Ez. 1 Ex. Ans. fPrin. .$2,500.00 from Sept. 5, 1875, 41. % 933.33. Int.. . 273.33 to July 1, 1877. j T. 1 y. 9 mo. 26 d. 42. 43. 18 men. Amt. . 2,773.33 54 days. lst&2dpt. 550.00 ^ l^^ti^' ^-lO^i 44. 3,680 bricks. 58.- 2d prin. 2,223.33 from July 1, 1877, 45. IT. 328|lb. Int. . . 23.72 to Sept. 5, 1877. j T. 2 mo. 4d. 46. 5T. 8161b. Amt. . $2,247.05 Page 263. ( Katio, O.OlOf. . jlns. Ans. $2,247.05. 47. A's, $1,875; B's, $ 1,125. 59. $3,754.00. Page 259. -1 B's, 831T.; 60. $400.00. Ex. Ans. S's, 166f T. Page 250. 20. 31,680 feet. 61. (Time. 93d.) $147.92. 21. 2,500 bushels. Page 264. 62. (T.4mo.lOd.) $146.55. 22. 106^% feet. ' M., $ 570.53 ; 63. $154.31. 23. 15 cents. 49.- N., $221.87; 64. $196.08. 24. l,076i| times. 0., $316.96; 25. $4.66. .P., $316.96. Page 252. 26. 1 lb. 6^ oz. A's, $ 5,625 ; For answers to drill ex- 27. 23^ days. 50. < B's, $7,500; ercises on Table No. 8, 28. 5f mo. 29. 3 lb. 4J^ oz. C's, $ 9,375. see page 78 of this Key. 51. $375; $500; $625. Page 255. 30. 9^ yds. -1 H.$500;B.$506; 1. ^^. 6. ^V 2. ^V 7. if. 3. -^p 8. 7. 31. 36 tons. L. $ 480. 3, jl2:150=l:x. ( Ans. 12^ min. 53. X's, $ 332.50; Y's, $525. 4. ^. 9. 6. Page 261. rl, 000x3 = 3,000 450x3 = 1,350 5- eV 33. $30. 1,150x6 = 6,900 Page 257. 34. 42 days. 11,250 10. 850. (-140:180)^00., 35.^ 25: 20r^^^-''- 3,000x8 = 24,000 11. 1,750. 3,300x1 = 3,300 12. 736|. 13. 3,250 tons. ( Ans. $30.86. 2,400x2= 4,800 36. 26 miles. 54.-' 32,100 14. 35 hats. 15. $27.30. Page 262. 37. 250 tons. Rs part, 2^5_ or $908.30. P's part. Page 258. 38. 19311- lb. ill, or $2,591.70. 16. $70. 18. $750. 39. $49.25. ^,^(R's,$ 908.30. ^ (P'sJ2,591.70. 17. $20. 19. $7.13. 40. $ 12^ rods. 28 KEY. Page 266. Ex. Ans. 1 Ex. Ans. Ex. Ans. 35. 6.082... 68. 0.9654... ( 1, 8, 27, 64, 125, 36. 2.321... 69. 0.9546... l.< 216, 343, 512, 37. 0.883... 70. 3.986... ( 729, 1,000. 38. 1.414... 71. 0.6463... 2. 289. 39. 0.3794... 72. 0.9718... 3. 784. 40. 5.059... 73. 1.259... 4. A\. 41. 16.50. 74. 332 in. 5. 0.0289. 42. 536. 75. 6.349... ft. 6. 3f . 43. 94 ft. 76. 41.07... in. 7. 104.04. 44. 49 men. 77. 51.89... in. 8. 3,375. 45. 140 feet. ^Q ( Without cover, S 5.86 ; ^( with cover, $7.03. 9. 0.001728. 46. 84. 10. 14,641. 47. 112. For answers to drill ex- 11. #^. 48. 87.63... rods. ercises 247 and 248, see page 85 of this Key. 12. 0.03125. ( Length, 100; ■ ( breadth, 50. 13. 3.61. Page 280. 14. 272J. 50. 9.704 . . rods. , I 4J sq.ft. = 4 sq.ft. 24 sq. 15. 5.76. 1 of 1,728 ■ ( in. 16. 0.0576. stones must form 2. 1031 sq. ft. 17. 0.004096. 51.- a square. 3. 180 sq.ft. ^ \ Length,60ft.; 4. 10,624 sq.ft. Page 271. 18. 137. 52. [ \ width, 45 ft. 4.5 feet. 5. 19.52iVA. 19. 901. Page 276. Page 282. 20. 93.7. 53. 23. 6. 75.3984 ft. 21. 8.17. 54. 46. 7. 25.1328 ft. 22. 7.43. 55. 7.4. 8. 31.8309... ft. 23. 0.43. 56. 98. 9. 18.3478... sq.ft. 24. 234.1. 57. 143. 10. 346.3614... sq.ft. 25. 2.237. 58. 24.2. 11. 44.8369... rods. 26. 60.47. 59. 43.6. 12. 12 planks. 27. A- 60. 9.35. ^3 ( 100.5312 ft. (268 persons. 28. if. 61. 9.405... 29. 1, or 0.666... 62. 7.020... 30. 0.529... 63. 0.7067... Page 283. 31. 0.866... 64. 0.928... 14. 30 ft. 32. 1.590... 65. ^V 15. 19.5 ft. 33. 2.723... 66. 3;\ = f . 16. 18.330... ft. 34. 2.924... !67. 3 .5. 17. 6,600 ft. KEY. 29 Page 284. Ex. Ans. 18. 82.683... ft. 40 B 72 19.^ 20 J Ans. A,20rd.; C, 24 rd 276.099... rods, or 276.1... if roots are found to ten thousandths; thus, V/40^ + 60"^ =72.1110.. v/60-^ + 57'-^= 82.7586.. V57^ + 362 = 67.4166.. V/36^+40^= 53.8144.. 276.1006. 21. 22. 23. 24. 25. 21.213... ft. 23.043... ft. 39 inches. 8.660... ft.; 43.3... sq.ft. 24 ft. ; 240 sq. ft. Page 288. 26. 448 cu. in. 27. 216.5 cu. ft. 28. 907.5 cu. ft. Page 289. V/l2xl08 = 36 (12 + 108 + 36)6 = 936 Ans. 936 cu. in. 29. 30. (81+108 + 144)8x4 3x5 701.4 X 4 = 701.4... = 568.32 Ans. 701.4 bu. shelled; 568.32 bu. unshelled. 31. 40sq. yd. 8sq. ft. Ex. Ans. 32. 720 sq. ft. 33. 220 ft. i 11x11x3.1416x14 ^ ^^^^ 34. < 2x2x231 ^-^^^^ I ' Ans. 5.7596 gal. 35. 14.1372 sq. ft. 36. 18ft.; 1,060.29 cu. ft. 37. 51.051 sq. yd. ' Area of top, . . 176.715 Area of bottom, 113.0976 Mean pro. . . 141.372 38. \ 431.1846 431.1846 x^6X 1728 .g^^^^gggg Ans. 6,450.9696 gal. 39. 3.1416 sq.ft. 40. S 42.98. 41. 113.0'976cu. ft. 42. 144,109,433.16. Page 290. sq. 43. 34§ yards. Page 291. 44. 1,848 ft. 45. 19.63495 rods. 46. 125 gallons. 47. $0.93. 48. .S 162.00. 49. $4.86. 50. 9.071 ill. Page 292. 51. 18|f OZ. 52. 3,188.046... lb. .3 (14.68... in.; ' ( 6.349... in. g^ ( 21603; 79123= 1 .3. ' \ Ans. 49.14... bodies. 30 KEY. Ans. 1 : 1000=79128 : jc^ .4715. 79,120 miles. 2 : 1 = 123 : r^ Ans. 9.524... in. 57. 4.32 tons; 6.86 tons. 55. 56. 58. 59., 60. 61. 62. 63. 64. 65. 66. 67. 68. Page 293. llf 0.7589... 7121; 1,187^. 22^; 5; 17^. 10,000 lb. S's, $389.50; L's, $ 1,046.00. 6,436,343; 884,736. 961 ; 39 rem. 31 on each side. 3,233.32... ft. lOf ft. 20 ft. 69.^ '15.708x160 = 28.2842... y ^ 3.1416 28.2842 X 2 X 3.1416 = 177.71528 . . . 31.2842X2X3.1416=196.56488 .. 70. Sum, .S74.28016... Ans. 374.28... rods. 25 X 3.1416 ^' Ans. 14|f in. r v/7-+ 111 72. 14x3J416^aiJ^ 256.56... I Ans. 256.56... sq.ft. \ hour. Page 295. 73. 227^ lb. 74. 161. 75. 30^5_. 76. 375 barrels. 78. 32.249... ft. 79. $5,274.84. 80. $6,080.00. Ex. Ans. 81. f 82. $95,388.75. 83. 4414%. Ex. Am. 84. 2h. 24 m. 85. 120 shares. Page 296. 86. 4 dozen. 'True discount, $12.04 Bank discount, 12.658 87.^ $0,618 Ans. $0.62. 88. $803.19. 89. Face of note, $303.19. 90. $1,593.00. U.'s,?l^^^I^= $771.32. 91 < ')h.'s.^'^'1-I'"'^'-$1,584.43. ( /89ni0 92. 1 y -Teo" 399 1000 = 746.286. Ans. 746.286 ft. 93. 20%. /- Due. Item. Time. Int. 1S77. Sept. 17, . . $200 31 S2.06C Aug. 17, . . 500 Sept. 17, . . 300 31 3.10 94. 1 day's int. of 1,000 = 0.333 ) 5.166 16 Aug. 17 + 16 d. = Sept. 2. Ans. Sept. 2, 1877. 95. 131° 20' 38" W. Page 297. 96. $41.50. 97. 40,882^ bricks. 98. 6.2832 in. 99. Ih. 29m. 18f s. P.M. 'A's loss, $13,750; B's loss, $11,000 ; 100. < c's loss, $8,250. C pays A, S 8,250 L B pays A, $ 3,000. KEY. 31 Ex. Ans. Ex. Ans. Ex. Ans. 101. $12 gain. 29. 68iV 32. 2,525^. 102. $2.59f 30. 52j\. 33. 3,751j-V 31. 915^^. Page 298 |"v/r2.75 = 3.5707 Page 306. ^^2 1 (3.5707X 4 xl6J) + (7X4) = 263.6662 (ft.) 34. 830 links. •263.6662 x 7 x 5 = 9228.41. 35. 0.45 ch. Ans. $ 92.28. i 36. 11.56 ch. 104. 94.0032 gal. 37. 72.2 rd. 105. $5.07. 38. 129 rd. 1.32 ft. 106. Gained $ 0.71. 39. 93 rd. 14.52 ft. 107. 19 T. 1,3751b. 40. 150 acres. ^Qg^ 1 Length, 6.697. ( Diameter, 5.64 .ft. 41. 108 acres. D...in. 42. 7.0448 acres. jOg (6:138 = 480: = ( Ans. 2 mi c 43. 111.32854 acres. les 480 feet. Page 310. Page 301. 1. 3,564. 44. $80.15. 46. $250.82. 2. 263,736. 45. $42.59. 3. 579,942. Page 315. 4. 368,373,159. ( 18X10 0^^20 5. 69,999,993. 6. 244,510. ( Ans. 24/. 7. 3,558,220. 8. 54,931,835,204. 48. 3 more. 9. 26,496; 13,248. 4g^ 1 16|days ; 50 miles east of the ( point. 10. 330,399; 195,792 11. 231,660; 308,880 ( ap_x_j_oo^50 ^2 [ 2,772,605; ' ( 7,561,650. ^^•) M-i = 50/. ( Ans. 50 fo Page 302. 51. $1,800.00. 13. 621. 21. 11,025. ( 5x30 = 150 52. 1 150-f-25 = 6 ( Ans. 6 bushels. 14. 616. 22. 30i. 15. 1,209. 23. 721 16. 2,025. 24. 17. 3,024. 25. 18. 7,221. 26. 132^. 182i 9,900^. 53. < ' 34.10 X 125 _, 100x1.10 ^ 38|-31 = 7| 19. 3,025. 27. 272J. L A71S. 7| gal. 20. 7,225. 28. 39^. 54. 28%. 32 KEY, Ex. 55. 56. X 100x3 75 36 X 1.081- c $24 x2xl00 120 $24 x2xl00 Ans. = 1 36, cost of the whole. = 30 Ans. $30. 57. 58. 59. 60. :$40 $60 *" 80 ^ 100-96 = 4 Ans. % 4.00 loss. If \ of 1st part equals f of 2d part, all of the 1st part must equal -^^ of 2d part. f + ¥ ^ ¥- ^f p = 12 ^-W-Q - 40 Ans. 12 and 40. 23if cu. yd. Page 316. [ Avails of note, $ 108.84. [ Ans. $181.40. Prin. $1,000.00 Int. . 80.00 T. 1 y. (0.08). 61. Amt. 1,080.00 1st pyt. 200.00 2d prin. 880.00 Int. . 70.40 T. 1 y. (0.08). Amt. 950.40 2d pyt. 200.00 3d prin. 750.40 Int. . 60.032 T. 13^(0.08). Amt. 810.432 3d pyt. 200.000 4th prin. 610.432 , rr. -, ka T4- -i-'^q\1-1t'^- 5ci. Int. . 4.^48 j j^^Q^QQ.^^ I Ans. $615.18 62. 63.- 4.40 Ans. 4.12xll0 _ 1.03xl00~ Ans. $4.40. ^ Area of large end, 7.0686 Area of small end, 4.90875 Mean proportional, 5.8905 17.86785 17.86785x6X62^x0.06 = 4,020.26... Ans. 2T. 20.26... lb. 40'^ X 3.1416 = 5,026.56 (^,^)^x 3.1416 = 4,417.875 608.685 Ans. 608.685 sq. ft. V/32 + 33^ =33.136... Ans. 33.136... miles. $ 825.00. 87.50x85 ~Too — = ^^^*- 87.50x341 —100 = g^"^- 87.50 x34ix 100 100x87.50x85 Ans. 401^% 401^%. ^' ^ = 6.3639. 69. 180 feet. 70. Prin. $481.60 from June 8, '75, Int. . 69.59 to Nov. 4, 77. 1st payt. 180.60 ^^^*^«'0-14^^- 2d prin. 370.59 Int. . 11.056 to May 3, 78. payt. 240.1 ( T. 5 mo. 29 d. 1 Ratio, 0.0294, 3d prin. 140.846 Int. . 3.145 to Sept. 17,78. Amt. .$143.99 (T. 4 mo. 14 d. ( Ratio, 0.022^. 2,889.60 - 143.99 = 2,745.61. Ans. $2,745.61. ANSWERS. 33 ANSWEES TO DEILL EXEECISES. SIMPLE NUMBERS (page 59). 1 2 3 4 5 8,478 8,687 51,952 24,794 113,839 3,811 4,390 91,048 20,466 153,147 5,674 6,364 35,090 22,485 96,700 2,591 2,678 76,462 18,766 138,778 8,985 9,373 27,025 25,513 89,258 8,463 9,325 94,736 25,423 156,578 5,514 6,157 63,264 22,231 125,312 7,016 7,404 49,803 23,494 111,566 2,930 3,420 39,803 19,549 101,925 9,595 10,333 85,078 26,451 147,052 2,337 2,522 101,898 18,618 163,525 Q>,Q>2(5 7,252 23,474 23,389 85,230 5,605 6,067 69,419 22,171 131,611 9,556 10,200 92,084 26,313 153,885 5,087 5,709 50,921 21,774 113,090 3,309 4,250 77,626 20,329 139,262 6,221 6,979 66,308 23,114 128,321 2,105 2,404 31,443 18,474 93,190 L0,611 10,712 50,642 26,816 113,090 5,650 6,377 34,977 22,476 96,837 8,182 8,609 104,072 24,740 166,038 2,838 3,090 84,335 19,177 145,893 4,663 5,037 56,407 21,171 118,650 6,926 7,211 31,054 23,317 93,084 9,021 9,918 94,856 2h,%^h 157,173 34 DRILL EXERCISES. SIMPLE NUMBERS (page 59 . Examples. 6 i 7 8 9 10 1. 75,985 1 378 621 946 1,538 2. 115,262 3,737 6,144 8,814 14,728 3. 58,860 2,887 5,292 6,508 10,528 4o 100,905 3,193 5,695 8,559 14,212 5. 51,437 4,401 6,123 7,563 11,824 6. 118,715 303 488 770 1,282 7. 87,425 3,832 5,151 7,427 11,213 8. 73,695 355 646 918 1,590 9. 64,093 4,228 6,008 9,497 15,062 10. 109,209 1,363 3,006 4,585 9,307 11. 125,660 3,977 6,169 9,462 16,076 12. 47,406 2,751 4,431 5,814 9,910 13. 93,774 2,900 5,907 8,677 13,118 14. 116,037 2,924 4,958 7,133 12,343 15. 75,194 331 550 841 1,560 16. 101,380 3,164 6,104 9,209 15,449 17. 90,495 2,503 4,511 7.764 12,882 18. 55,299 19. 75,079 20. 58,975 21. 128,208 22. 108,019 23. 80,823 24. 55,229 25. 119,279 •,n: SIMPLE NUMBERS (page 59). «-» 12 13 14 15 16 2,591 38,047 5,036 33,011 3,072 3,129 79,898 689 80,587 4,344 7,835 11,753 3,244 14,997 1,410 6,688 61,083 5,217 66,300 5,646 4,444 8,650 3,099 5,551 5,148 4,521 75,000 2,501 72,499 2,802 6,433 43,564 2,299 45,863 4,038 4,147 33,621 1,997 31,624 2,328 7,480 21,016 5,961 26,977 4,482 6,160 61,396 1,946 59,450 3,594 8,868 81,414 7,076 88,490 1,512 859 13,443 4,570 8,873 2,286 6,818 49,445 2,656 52,101 4,902 1,400 78,080 6,944 71,136 2,556 3,631 37,454 6 37,460 4,764 5,605 60,471 3,572 64,043 1,566 2,090 54,085 2,549 51,536 3,828 8,397 11,963 7,019 18,982 2,232 6,076 28,371 3,391 24,980 5,514 3,253 21,011 1,071 19,940 2,910 4,966 85,090 2,020 83,070 3,546 9,075 62,684 6,762 69,446 1,098 5,582 40,142 2,345 42,487 5,208 3,310 17,180 2,548 14,632 3,930 3,254 77,528 1 3,878 73,650 5,652 36 DRILL EXERCISES. SIMPLE NUMBERS (page 59). 17 18 19 20 21 55,307 2,192 25,785 33,280 4,045,312 21,371 4,904 33,678 24,616 2,210,372 37,520 6,152 77,436 18,565 1,259,600 11,228 1,064 61,389 43,286 1,509,364 56,203 3,888 44,370 84,084 6,888,882 5d,5^0 7,344 48,951 26,152 3,707,980 33,663 5,400 63,972 21,536 3,236,457 46,060 3,488 41,247 18,624 2,553,040 14,672 4,616 72,513 64,989 1,565,712 62,440 6,512 62,766 45,524 5,343,080 14,217 1,912 81,963 13,608 511,812 43,050 5,768 14,220 36,195 2,343,150 32,942 4,352 66,258 66,994 3,844,802 63,413 5,720 19,035 30,246 3,859,134 29,890 5,160 38,484 18,262 3,390,380 21,077 7,824 59,247 9,657 785,871 38,430 6,808 26,469 59,334 3,502,620 11,935 2,616 78,516 10,416 634,260 67,410 1,304 56,151 56,978 8,849,970 35,756 6,272 36,333 27,645 2,477,380 52,514 4,128 49,338 52,599 4,433,682 18,270 2,376 84,348 8,235 477,630 25,921 3,728 54,432 79,856 3,214,204 43,449 2,792 32,931 41,920 4,065,585 56,378 7,376 37,584 23,550 7,586,868 ANSWERS. 61 SIMPLE NUMBERS (page 59). Examples. 22 23 24 25 1. 2,164,874 785,010 11,209,888 323,245,712 2. 1,871,489 2,293,846 51,271,320 255,352,920 3. 4,121,840 6,616,476 j 15,654,533 109,113,520 4. 213,332 907,193 9,031,232 108,918,016 5. 3,902,094 2,395,980 6,599,880 109,033,820 6. 7,288,920 4,993,002 73,843,002 638,685,660 7. 3,246,075 4,797,900 34,203,600 243,681,648 8. 2,868,880 1,998,188 16,656,944 251,382,320 9. 1,209,392 4,648,889 16,775,121 60,937,008 10. 7,260,880 5,676,836 55,653,180 609,860,400 11. 485,409 2,176,573 21,634,519 183,848,151 12. 4,434,150 1,139,180 10,831,583 92,391,450 13. 2,560,064 4,004,928 30,903,008 267,333,742 14. 6,477,185 1,512,225 57,339,425 726,486,505 15. 2,754,150 2,758,020 26,915,850 178,187,100 16. 2,944,758 6,438,174 65,578,812 201,899,594 17. 4,671,990 2,502,791 48,529,126 313,072,740 18. 557,535 2,852,748 6,764,649 35,271,335 19. 1,569,690 1,016,957 5,641,430 333,294,300 20. 4,004,672 3,165,008 19,637,632 127,945,184 21. 3,871,032 2,828,712 46,735,152 679,471,144 22. 775,170 2,783,484 21,400,632 188,066,160 23. 1,725,598 2,818,368 21,524,540 171,041,570 24. 2,166,243 1,276,991 7,272,811 129,347,673 25. 7,425,788 3,850,272 75,331,088 658,044,016 38 DRILL EXERCISES. SIMPLE NUMBERS (page 59). Examples. 26 27 28 29 30 \ 31 1. 7,324 11,004 3,891 233,636 72,244 18,900 2. 2,295 6,906 8,527 530,586 52,545 20,778 3. 5,046 14,498 6,709 750,181 106,375 24,773 4. 617 9,233 9,759 65,362 65,123 19,298 5. 7,073 13,331 3,417 473,392 91,016 26,885 0. 7,417 13,830 3,897 839,397 97,578 28,147 7, 4,104 11,919 6,822 625,678 90,443 26,072 8. 6,144 11,211 5,336 398,668 79,196 19,839 9. 1,262 10,323 9,461 549,081 81,071 ' 23,970 10. 8,245 16,109 2,785 747,258 115,010 1 30,838 !1. 1,725 11,151 10,021 148,957 86,715 ' 16,287 12. 5,674 8,070 5,773 707,419 54,587 19,471 13. 3,807 12,341 6,781 488,281 90,940 26,222 14. 8,562 11,463 2,819 636,235 76,279 23,299 15. 3,453 8,695 7,240 604,560 64,343 23,581 16. 2,713 10,311 9,032 912,902 77,576 22,962 17. 4,759 8,644 6,176 795,676 62,425 24,172 18. 1,305 10,474 10,227 306,967 82,311 17,746 19. 8,649 16,625 1,755 128,716 108,833 26.852 20. 4,566 9,444 6,711 760,520 68,432 22,619 21. 6,822 13,059 4,211 426,460 92,480 24,570 22. 2,382 12,096 9,511 225,538 92,715 17,079 23. 2,743 10,153 7,733 420,742 73,864 23,557 24. ; 5,488 10,172 5,442 328,859 68,957 20,255 25. , 7,087 12,250 3,308 842,140 88,186 31,792 ANSWERS. 3( SIMPLE NUMBERS (pages 59, 61). 1 32 33 34 43 44 37,773 8,139 4,803 117,251f 93,801f 79,285 3,164 6,618 185,875 148,700 10,984 4,826 2,352 155,0211 124,017 60,950 2,412 8,607 200,1643 160,131i 8,161 8,401 8,016 97,425 77,940 74,082 7,489 4,371 239,200 191,360 42,889 4,807 6,153 71,251 57,000| 33,185 6,532 3,636 125,094 100,0751 20,439 2,266 6,984 168,850 135,080 60,582 8,705 5,619 183,225 146,580 81,175 2,044 2,430 121,575 97,260 12,722 5,810 3,714 210,003f 168,003 48,901 4,979 7,599 142,517 114,013f 77,365 8,770 4,047 240,600 192,480 36,809 4,419 7,215 108,900 87,120 59,493 2,294 2,460 175,2101 140,168f 53,234 5,277 6,021 164,925 131,940 11,636 1 1,750 3,432 200,2183- 160,175 28,208 10,386 8,457 160,751f 128,601f 20,227 4,809 4,536 87,523 70,018| 84,574 7,577 5,586 200,1911 160,153 62,387 1 2,496 1,782 117,2511 93,801f 39,676 4,105 8,088 195,625 156,500 16,831 6,513 6,087 236,5011 189,2011 76,606 8,074 ■ 8,553 116,325 93,060 40 DRILL EXERCISES. SIMPLE NUMBERS (page 61). Examples. 1. 45 1,341,058-1 1,088,4631 775,730 l,303,410f 1,511,3861 963,771t 650,957t 474,895 1,078,476 963,8431 46 l,149,478f 932,968f 664,911f 1,117,209 1,295,474 826,090 557,9635 407,052f 924,408 826,151f 1,260,1411 l,080,121f 612,013t 524,583f 820,268 703,086f 1,571,762 l,347,224f 697,843^ 598,151f l,068,390f 915,763} 266,451 228,386^ 1,236,848^ l,060,155f 1,075,1181 921,530f 472,5111 ; 405,009f 884,456^ 758,105^ 590,114f I 505,812f 1,231,7441 ! 1,055,7811 1,013,9571 j 869,106f 1,234,7751 1,058,379 47 48 5S,625l 52,111| 92,937| 82,6111 77,510f 68,8983 100,0821 88,9621 48,712| 43,300 119,600 106,3111 35,625| 31,6671 62,547 55,597| 84,425 75,044| 91,6121 81,4331 60,787| 54,0331 105,0011 93,335 71,2581 63,340| 120,300 106,9331 54,450 48,400 87,605| 77,871| 82,462| 73,300 100,1091 88,9861 80,375| 71,445f 43,761| 38,8991 100,095f 88,973f 58,625i 52,lllf 97,812| 86,944| 118,2501 105,1111 58,162| 51,700 49 505^^2 450t«2 670t9^ 604^^ 257t\ 375t\ 232t-\ 467^ 763^ 507tV 70811 344^-^^ 308i| 679A 364t^ 456^^^ 91A 700t^ 544^2^ 600^2 713x% 359 330 567iL ANSWERS. SIMPLE NUMBERS (page 61).* 404; 8 51 ... 29,312; 15 52 ,.„.. 26,055 ; 17 53 298,013 360; 6 46,468; 12 41,305 ; 10 241,880 536; 9 38,755; 5 34,449 ; 3 172,384 483; 5 50,041 ; 3 44,481 ; 1 289,646 205; 12 24,356 ; 4 21,650 335,863 300; 3 59,800 53,155; 10 214,171 186 17,812 ; 12 15,833 ; 10 144,657 373; 13 31,273 ; 8 27,798 ; 12 105,532 610; 10 42,212; 8 37,522 ; 4 239,661 405; 10 45,806; 4 40,716 ; 12 214,187 567; 2 30,393; 12 27,016 ; 12 280,031 275; 5 52,500 ; 15 46,667 ; 9 136,003 472; 9 35,629 ; 4 31,670 ; 8 182,281 247, 1 60,150 53,466 ; 12 349,280 543 9 27,225 24,200 155,076 291 5 43,802 ; 11 38,935; 13 237,420 365 5 41,231 ; 4 36,650 59,211 72 14 50.054; 11 44,493 ; 1 274,855 560 , 6 40,187 ; 15 35,722 ; 11 238,915 435 , o 21,880 ; 12 19,449 ; 10 105,002 480 ; 9 50,047 ; 13 44,486 ; 17 196,545 570 ; 10 29,312 ; 15 26,055 ; 17 131,136 j 287 ; 3 48.906 ; 4 43,472 ; 4 273,721 264 59.125 ; 7 52,555; 17 225,323 I 453 ; 10 29,081 ; 4 i 25,850 274,394 41 * For the sake of being read more easily, the answers to examples in Exercises are put in their simplest form, with remainders merely. 42 DRILL EXERCISES. Examples. 1. 54 134 Rem. 38 2. 79; 34 3. 108; 57 4. 129; 26 5. 64; 15 6. 70 23 1 7. 35 60 8. 67 43 9. 169 34 10. 80 5 11. 146 39 12. 87 41 13. 108 62 14. 69 49 15. 166 20 16. 52 2 17. 69 29 18. 17 23 19. 147 , 27 20. 94 ; 44 21, 96 ; 9 22. 127 ; 51 23. 73 ; 1 24. 86 ; 4 25. 93 ; 16 SIMPLE NUMBERS (page 61). 10,422; 17 10,933 ; m 8,379 ; 39 14,297 ; 27 8,118 ; 36 14,950 3,653 ; 70 6,028 ; 52 12,507 ; 22 9,643 ; 32 8,384; 28 17,872 ; 31 8,770 ; 18 18,158 ; 26 8,889 ; 39 8,343; 31 8,350; 50 12,712 ; 19 11,280 ; 47 5,073 ; bb 10,676; m 7,000 ; 7 13,262 ; 42 20,565; 17 6,373; 71 56 12,417; Rem. 136 5 77; 13,807 ; 70 137; 5,574 ; 90 77; 13,210 143 110; 12,490 578 126; 6,061 436 212; 10,642 132 102; 9,859 119 89; 10,190 206 73; 11,826 148 120; 20,162 99 57; 5,329 402 203; 6,441 684 80; 10,902 342 259; 5,260 103 53; 18,473 211 160; 2,728 98 120; 11,835 544 732; 16,330 363 76; 3,841 410 53; 9,165 204 111; 7,285 177 54; 7,845 , 478 181; 21,883 ; 271 238; 12,621 ; 126 68; Rem. 1,771 SIMPLE xamples. 1. 5( 1,326 ; Q 184 2. 1,208 ; 333 3. 578, 2,058 4o 1,078 , 4,963 5. 2,937 1,799 6. 1,284 778 7. 1,399 2,536 8. 508 2,538 9. 706 3,896 10. 950 2,312 11. 888 6,633 12. 889 513 13. 694 6,700 14. 2.544 2,508 15. 513 4,061 16. 1,466 , 3,922 17. 291 ; 4,026 18. 6,783 , 487 19. 767 , 3,311 20. 434 ; 1,048 21. 736 ; 915 22. 413 ; 5,407 23. 1.715 ; 2,248 24. 1,536 ; 1,185 25. 1,088 ; 4,813 ANSWERS. NUMBERS 5& 586; Kern. 207 929; 300 775; 85 1,000 ; 659 487; 100 1,196 356 204 625 376 844 200 916 100 607 700 1,050 15 712 468 1,203 544 400 876 43 824 500 1,001 75 803 607 437 492 1,000 765 586 207 978 , 100 1,182 407 581 , 500 (page 61). 6 1,915 ; ^... 3,352 1,554 3,981 1,108 780 1,862 63 2,158 4,718 1 1,376 3,430 j 929 3,946 i 678 1,770 1,540 2,856 1,376 3,862 1,800 , 849 874 , 1,283 1,171 ; 3,408 2,245 , 1,572 996 , 3,863 1,526 , 1,142 380 2,706 1,766 3,889 1,535 , 3,713 675 Q>S 1,263 , 2,139 843 , 87 1,759 6,268 ! 1,448 ; 2,145 1,763 ; 4.053 43 61 53,633 52,819 55,830 54,770 50,733 52,393 50,107 52,852 56,721 53,522 55,812 51,738 54,783 51,496 55,871 51,673 53,017 48,656 55,730 54,209 54,735 55,985 52,181 51.156 54,337 44 DRILL EXERCISES. SIMPLE NUMBERS (page 61). Examp 1. les. Q2 541,246 63 7,577,345 64 3,356,282 65 2,845,934,476 2. 814,925 5,787,281 904,219 4,019,361,000 3, 694,521 4,034,295 1,546,470 4,991,064,165 4. 874,035 7,019,804 186,127 5,804,777,750 5, 459,039 8,678,618 5,171,318 1,203,003,900 6. 1,027,799 4,825,830 3,785,370 4,308,470,400 7 353,717 3,620,742 1,055,706 795,161,160 8 571,834 2,348,994 2,154,390 2,806,108,608 9 750,727 5,795,456 283,144 6,186,664,000 10 805,028 5,050,162 1,545,938 4,459,696,500 11 560,718 7,074,549 2,697,849 4,136,954,100 12 910,359 2,832,068 4,728,067 3,469,261,950 13 643,457 4,351,540 779,072 4,037,221,576 14 1,032,502 8,468,172 193,428 3,566,654,400 15 510,077 3,751,463 168,937 3,551,882,400 16 771,122 5,709,499 598,088 3,062,683,910 17 731,323 939,006 4,998,294 3,615,156,000 18 868,137 6,620,214 587,661 876,157,250 19 717,343 5,807,706 20,643 5,405,116,842 20 422,907 2,484,976 665,852 2,286,100,760 21 874,106 4,505,974 2,700,911 '5,772,714,885 22 543,598 3,071,680 1,149,383 4,014,699,920 23 853,287 6,607,968 434,532 3,371,010,000 24 1,015,769 5,137,738 3,376,325 3,746,187,720 25 538,243 6,943,353 2,775,653 3,166,366,500 ANSWERS 4 SIMPLE NUMBERS (page 61). examples. 66 67 68 69 70 1. 3,773,795,412,464 413,836 401,847 8,012 5,528 2. 4,855,635,673,500 218,323 684,710 6,825 4,590 3. 2,886,111,222,300 689,176 531,245 10,554 7,161 4. 6,261,524,085,117 343,214 722,239 9,026 6,578 5. 3,533,923,524,600 523,989 351,570 5,265 2,511 6. 5,532,820,384,000 905,613 902,230 7,365 3,735 7. 1,113,153,232,984 131,899 253,434 3,891 1,854 8. 1,425,756,363,120 77,913 441,406 6,475 4,612 9. 4,370,416,142,400 394,065 577,450 11,065 8,512 10. 4,238,406,139,800 233,036 667,160 7,552 5,173 11. 3,676,840,868,700 132,118 397,480 9,632 7,811 12. 3,084,604,801,245 470,591 791,825 6,197 3,566 13. 2,805,651,229,344 576,614 491,608 9,374 6,302 14. 9,075,982,492,800 744,519 916,690 6,301 3,070 15. 1,823,884,642,800 625,462 346,100 10,542 7,566 16. 4,492,643,318,306 116,039 653,673 5,411 3,362 17. 1,054,666,348,200 337,916 599,040 7,238 4,532 18. 5,943,364,652,875 392,035 783,665 2,975 338 19. 4,147,853,613,991 147,619 554,997 9,591 7,722 20. 992,534,626,256 538,114 277,412 8,744 5,702 21. 4,249,450,855,335 328,032 722,885 8,946 6,309 22. 1,660,606,987,809 227,636 378,547 10,018 7,756 23. 5,783,041,210,000 ' 883,056 730,000 7,134 3,600 24. 5,755,265,356,215 ! 73,324 903,627 4,794 3,408 25. 3,447,246,240,900 337,764 391,380 s,mQ> 5,929 46 DRILL EXERCISES. SIMPLE NUMBERS (pages 61, 63). 73 I 28 cows; $36 13 22 21 30 29 9 6 23 12 12 29 23 32 32 8 14 19 13 21 15 14 31 12 16 71 72 23,092 l,791f 26,758 1,621| 53,741 2,380 25,902 2,200f 31,761 771 56,553 l,161f 25,836 781f 18,379 1,7451 25,130 2,823| 41,079 1,840 13,243 2,69H 28,253 1,131^ 42,578 2,084^ 42,139 9291 30,850 2,4361 24,778 1,313 40,814 1,605 38,407 134§ 14,109 2,6511 44,392 l,907f 36,216 2,185 24,002 2,669 41,270 1,1021 8,828 1,212 36,046 2,048^ 82 36 914,041 62 1,040,014 42 976,067 8 1,678 12 63,306,000 52 19,900,019 32 170,000,007 80 10,001,101 28 305,050,000 m 12,200,002 54 1,018,008 15 1,000,600,006 33 904,000,094 34 3,030,000,303 24 2,000,412,014 22 101,001,001 m 6,000,060,600 57 403,000,000,030 49 1,000,017,000,000 27 506,000,065,005 33 4,004,000,004,000 34 689,000,006,089 bb 42,000,000,040,200 4 18,000,108,000,018 6 4,047,000,004,700 ANSWERS. 47 SIMPLE NUMBERS (page 63). 1. Lines 1 and 2, 83 Ans. 1,954,055 Lii It les 6,^ 84 Ans. ^ 86,137,819 2. 2 " 3, 2,016,081 2 ' ' 7, 255,223,785 3. 3 " 4, 977,745 3 ' ' 8, 264,184,872 4. 4 " 5, 63,307,678 4 ' ' 9, 568,258,805 5. 5 " 6, 83,206,019 5 ' ao, 580,457,129 6. 6 " T, 189,900,026 6 ' '11, 518,169,137 7. rr < " 8, 180,001,108 7 ' ^2, 1,498,869,124 8. 8 " 9, 315,051,101 8 ' a3. 2,232,869,211 9. 9 '^0, 317,250,002 9 ' a4. 5,252,868,413 10. 10 " 11. 13,218,010 10 ' ^5, 6,948,230,427 11. 11 "12, 1,001,618,014 11^ •16, 7,037,031,426 12. 12 "13, 1,904,600,100 12 ' ^7, 13,036,074,018 13. 13 "14, 3,934,000,397 13 ^ '18, 415,035,474,042 14. 14 "15, 5,030,412,317 14 ' '19, 1,414,148,473,948 15. 15 "16, 2,101,413,015 15 ' '20, 1,917,118,538,650 16. 16 "17, 6,101,061,601 16 ^ '21, 5,919,118,130,636 17. 17 - 18, 409,000,060,630 17 ' '22, 6,608,017,135,724 18. 18 "19, 1,403,017,000,030 18 ' '23, 48,602,017,115,324 19. 19 "20, 1,506,017,065,005 19 ' '24, 66,199,125,115,312 20. 20 "21, 4,510,000,069,005 20 ^ '25, 69,246,108,120,012 21. 21 " 22, 4,693,000,010,089 * Inclusive. 22. 22 " 23, 42,689,000,046,289 23. 23 "24, 60,000,108,040,218 24. 24 "25, 22,047,108,004,718 48 DRILL EXERCISES. SIMPLE NUMBERS (page 63). Examples. 1. Lines 1 and 2, S5 Ans. 125,973 86 5,484,246 2, 9 " 3, 63,947 6,240,084 3. 3 " 4, 974,389 5,856,402 4. 4 " 5, 63,304,322 10,068 5. 5 " 6, 43,405,981 379,836,000 6. 6 '' 7, 150,099,988 119,400,114 7. 7 - 8, 159,998,906 1,020,000,042 8. 8 " 9, 295,048,899 60,006,606 9. 9 'ao, 292,849,998 1,830,300,000 10. 10 "11, 11,181,994 73,200,012 11. 11 "19 999,581,998 6,108,048 12. 12 " 13, 96,599,912 6,003,600,036 13. 13 "14, 2,126,000,209 5,424,000,564 14. 14 "15, 1,029,588,289 18,180,001,818 15. 15 "16, 1,899,411,013 12,002,472,084 16. 16 "17, 5,899,059,599 606,006,006 17. 17 "18, 396,999,939,430 36,000,363,600 18. 18 " 19, 597,016,999,970 2,418,000,000,180 19. 19 "20, 494,016,934,995 6,000,102,000,000 20. 20 "21, 3,497,999,938,995 3,036,000,390,030 21. 21 " 22 3,314,999,997,911 24,024,000,024,000 22. 22 " 23, 41,311,000,034,111 4,134,000,036,534 23. 23 "24, 23,999,892,040,182 252,000,000,241,200 24. 24 "25, 13,953,107,995,318 108,000,648,000,108 25. 24,282,000,028,200 ANSWERS. 49 SIMPLE NUMBEKS (page 63). 87 6,398,287 7,280,098 6,832,469 11,746 443,142,000 139,300,133 1,190,000,049 70,007,707 2,135,350,000 85,400,014 7,126,056 7,004,200,042 6,328,000,658 21,210,002,121 14,002,884,098 707,007,007 42,000,424,200 2,821,000,000,210 7,000,119,000,000 3,542,000,455,035 28,028,000,028,000 4,823,000,042,623 294,000,000,281,400 126,000,756,126 28,329,000,032,900 88 7,312,328 8,320,112 7,808,536 13,424 506,448,000 159,200,152 1,360,000,056 80,008,808 2,440,400,000 97,600,016 8,144,064 8,004,800,048 7,232,000,752 24,240,002,424 16,003,296,112 808,008,008 48,000,484,800 3,224,000,000,240 8,000,136,000,000 4,048,000,520,040 32,032,000,032,000 5,512,000,048,712 336,000,000,321,600 144,000,864,004144 " Z 32,37q^5Qy37#0 02r ^1^,^. ir^^s"^ 50 DRILL EXERCISES. SIMPLE NUMBERS (page 63). Examples. 89 90 1. 8,226,369 152,340^ 2, 9,360,126 173,3351 3. 8,784,603 162,6771 4. 15,102 279t 5. 569,754,000 10,551,000 6. 179,100,171 3,316,6691 7. 1,530,000,063 28,333,334t 8. 90,009,909 1,666,850^ 9. 2,745,450,000 50,841,6661 10. 109,800,018 2,033,3331 11. 9,162,072 169,668 12. 9,005,400,054 166,766,6671 13. 8,136,000,846 150,666,682§ 14. 27,270,002,727 505,000,050f 15. 18,003,708,126 333,402,0021 16. 909,009,009 16,833,500^ 17. 54,000,545,400 1,000,010,100 18. 3,627,000,000,270 67,166,666,6711 19. 9,000,153,000,000 166,669,500,000 20. 4,554,000,585,045 84,333,344,167f 21. 36,036,000,036,000 667,333,334,000 22. 6,201,000,054,801 114,833,334,348^ 23. 378,000,000,361,800 7,000,000,006,700 24. 162,000,972,000,162 3,000,018,000,003 25. 36,423,000,042,300 674,500,000,7831 ANSWERS. 61 SIMPLE NUMBERS (page 63). 91 130,5771- 148,573f 139,4381 239f 9,043,714f 2,842,859f 24,285,715f l,428,728f 43,578,571f l,742,857f 145,429f 142,942,858 129,142,870* 432,857,1861 285,773,144^ 14,428,714f 857,151,5141 57,571,428,575^ 142,859,571,428^ 72,285,723,572] 572,000,000,571f 98,428,572,298f 6,000,000,005,742f 2,571,444,000,002^ 578,142,857,814f 92 114,2551 130,0011 122,0081 209§ 7,913,250 2,487,5021 21,250,000^ l,250,137f 38,131,250 l,525,000f 127,251 125,075,0001 113,000,0111 378,750,0371 250,051,5011 12,625,1251 750,007,575 50,375,000,003-1 125,002,125,000 63,250,008,1251 500,500,000,500 86,125,000,7611 5,250,000,005,025 2,250,013,500,0021 505,875,000,5871 93 101,560^ 115,557^ 108,4511 1861 7,034,000 2,211,1131 18,888,8891 l,lll,233f 33,894,4441 l,355,555f 113,112 111,177,7781 100,444,4541 336,666,7001 222,268,0011 11,222,333^ 666,673,400 44,777,777,781^ 111,113,000,000 56,222,229,445 444,888,889,3331 76,555,556,232-^ 4,666,666,671,1331 2,000,012,000,002 449,666,667.188f, 52 DRILL EXERCISES. SIMPLE NUMBERS (page 63 ). xamples. 94 95 96 97 1. 2,016 234 413 30t^\ 2. 3,796 819 160 56 3. 8,019 594 558 205^9^ 4. 2,160 648 84 27 5. 6,400 432 408 111 6. 5,775 833 120 5S^% 7. 3,584 1,820 44 12M-I 8. 6,392 1,190 240 mn 9. 4,131 1,224 129 261^7 10. 6,048 648 366 74|t 11. 7,392 748 512 256 12. 7,448 840 245 17111 13. 1,728 912 90 6141 14. 2,115 117 200 27t§^ 15. 5,562 414 m'o 16. 3,168 198 354 4T§| 17. 7,980 2,508 129 46,3^0 18. 9,065 924 224 129«f 19. 5,395 715 280 49t¥^ 20. . 3,840 712 64 21. 5,236 2,652 54 14|if 22. 7,728 1,680 284 5^i%\ 23. 6,039 385 756 1683f 24. 8,372 1,092 399 357 25. 2,652 104 432 41H ANSWERS. 53 UNITED STATES MONEY (page 73). amples. 105 106 107 108 1 109 1. S 12.25 ct. j 1,840 ! j 12^250 11,275.92 ! $ 295.94 2, 71.90 8,322 71,900 1,335.57 600.10 3. 25.62 3,641 25,620 1,289.29 459.263 4. 18.09 3,005 18,090 1,281.76 404.773 5, 130.06 20,475 130,060 1,393.73 1,332.833 6. 0.0/ o 920 5,075 1,268.745 1,148.093 7, 1.908 563 1,908 1,265.578 1,155.09 8. 100.20 87,600 100,200 1,363.87 1,149.185 9, 49.72 10,035 49,720 1,313.39 206.125 lOo 6.073 1,520 6,073 1,269.743 56.712 11. 0.275 136 275 1,263.945 70.443 12. 12.19 2,095 12,190 1,275.86 181.12 13, 0.255 40 255 1,263.925 161.30 14. 16.006 1,900 16,006 1,279.676 679.483 15, 49.24 6,307 49,240 1,312.91 645.275 16. 5.675 764 5,675 1 1.269.345 1,071.538 17, 99.56 41,928 99,560 1,363.23 1,415.781 18. 0.178 62 178 \ 1.263.848 927.566 19o 38.005 50,057 38,005 1,301.675 938.523 20. ! 89.503 26,806 89,503 1,353.173 554.058 21. 0.925 2,970 925 1,264.595 645.379 22. 0.755 1,100 755 1,264.425 723.953 23. 1 54.09 1 10,002 54,090 1,317.76 24. 4.444 44,444 4,444 \ 1,268.114 25o ! 9.099 1 10,010 9,099 1,272.769 54 DRILL EXERCISES. UNITED STATES MONEY (page 73). Bxamp 1. $ 881.60 111 % 6.15 112 % 110.40 113 % 85.75 114 $165.60 2, 816.78 11.32 499.32 503.30 748.98 3. 863.59 10.79 218.46 179.34 327.69 1. 869.95 11.96 180.30 126.63 270.45 5. 695.25 74.69 1,228.50 910.42 1,842.75 6. 890.792 4.133 55.248 35.525 82.872 7. 894.368 3.724 33.792 13.356 50.688 8. 24.00 775.80 5,256.00 701.40 7,884.00 9, 799.65 50.63 602.10 348.04 903.15 10. 884.793 9.134 91.242 42.511 136.863 11 898.64 1.085 8.16 1.925 12.24 12 879.05 8.76 125.70 85.33 188.55 13 899.598 0.147 2.412 1.785 3.618 14 880.995 2.999 114.03 112.042 171.045 15 836.928 13.832 378.432 344.68 567.648 16 892.355 1.97 45.87 39.725 68.805 17 480.72 319.72 2,515.68 696.92 3,773.52 18 899.375 0.447 3.75 1.246 5.625 19 399.43 462.565 3,003.42 266.035 4,505.13 20 631.94 178.557 1,608.36 626.521 2,412.54 21 870.30 28.775 178.20 6.475 267.30 22 888.995 10.25 66.03 5.285 99.045 23 799.98 45.93 600.12 378.63 900.18 24 455.56 439.996 2,666.64 31.108 1 3,999.96 25 799.90 91.001 600.60 63.693 1 900.90 ANSWERS. bd UNITED STATES MONEY (page 73). 115 116 117 118 119 $1.84 $1.11 % 1.02 $2.63 73H 8.32 6.54 6.00 11.89 332e 3.64 2.33 2.13 5.20 145if 3.01 1.64 1.51 4.29 120/^ 20.48 11.82 10.84 29.25 819 0.92 0.46 0.42 1.32 sm 0.56 0.47 0.16 0.80 22B 87.60 9.11 8.35 125.14 3,504 10.04 4.52 4.14 14.33 401^^ 1.52 0.55 0.51 2.17 60|g- 0.14 0.03 0.02 0.19 5H 2.10 1.11 1.02 2.99 83ii 0.04 0.02 0.02 0.06 IM 1.90 1.46 1.33 2.72 76 6.31 4.48 4.10 9.01 252/^ 0.76 0.52 0.47 1.09 30if 41.93 9.05 8.30 59.89 1,677^\ 0.06 0.16 0.01 0.09 m 50.06 3.46 3.17 71.51 2,002/^ 26.81 8.14 7.46 38.29 1,072^«^ 2.97 0.08 0.08 4.24 118e 1.10 0.07 0.06 1.57 44 10.00 4.92 4.51 14.29 400^5 44.44 0.40 0.37 63.49 l,777i| 10.01 1 0.83 0.76 14.30 400i§ 56 DRILL EXERCISES. UNITED STATES M( DNEY (page 73) 120 121 122 123 115 2,450 % 239.20 230 ]b 520^-^ 14,380 1,081.86 l,040f 221^% 5,124 473.33 4551 18711 3,618 390.65 375f l,279i^ 26,012 2,661.75 2,559| ^^1% 1,015 119.704 115 35^ 381J 73.216 70| 5,475 20,040 11,388. 10,950 027t\ 9,944 1,304.55 1,254| 95 1.2141 197.691 190 8^ bo 17.68 17 130if 2,438 272.35 261i 2A 51 5.226 5 118if 3,201^ 247.065 237| 394t^e 9,848 819.936 788f 47i§ 1,135 99.385 95| 2,620T«e 19,912 5,450.64 5,241 311 35f 8.125 7| 3,128^^ 7,601 6.507.41 6,2571 1,675t«6 17,900-1 3,484.78 3,350| 185U 185 386.10 371f 6811 151 143.065 1371 625 1^ 10,818 1,300.26 1,250| 2J77if 8881 5,777.72 5,555| 625i§ 1,8194 1,301.30 1,251| ANSWERS. 57 COMMON FRACTIONS (page 123). 5, 37. 93 31 9 3, 5, 13. 7, 83. 2^ 3^ 2, 7, 43. 2^ 23. 5-^ 17. 127. 2^ 3, 13. 2^ 7, 11. 769. 2^ 11-^. 3, 947. 2^ 5, 17. 647. 2 3,23. 93 3,7. 3, 7,23. 3^ 5, 89. 5, 97. 22 3, 67. 22 5,31. 2^ 103. 125 2^ 37. 22, 3^ 2\ 32, 11, 13. 2^ 83. 2r, 3^ 5. 2, 3, 5, 43. 22, 32, 23. 5, 7, 17. 2, 3, 127. 2^ 7, 13. 22, 5, 7, 11. 2, 769. 2^ 3, 112. 5, 947. 2\ 3, 17. 647. 2\ 23. 2, 3, 7, 13. 3, 11, 23. 22, 3^ 2, 3, 89. 32, 97. 2^ 5, 67. 22, 32, 31. 2, 7, 103. i20 37 108 78 83 108 86 92 ^o 127 104 308 769 968 947 68 647 46 42 69 81 89 97 268 124 206 127 128 72 5 8 1,080 § 576 5 6 6" 1,596 -1 84 T^O 96 tV 240 t 63 f 31,050 1,680 1,365 360 855 1,232 270 770 2oo 31,720 190 132 936 684 252 5,115 390 f it» i H"- ? aaa i -|- i a.a } 4g7 i 2|1 A ap A 58 DRILL EXERCISES'. COMMON FRACTIONS (page 123). Examples. 130 iSi 132 iSS 134 i35 136 i37 m 2f 8| lOlJo ii 59| 5tV 60H m IH 9t^^ T4i| hU 2f 15if 3M m 2A 5J* 93i a 45J 13} 46^ h% lAV ini 126A ^ 47i 19A 47/ij 1^^ 2|iJ 8if 147i| ^H 414 361* 41fl IHS 2tVo 6HJ 142Jf u 63 J^ 27^j 64ft If 2T¥ff 5fi 110ft A 64J lift 65 m 1/A 3i¥ xh 974 i¥s 15§4 5231 29oi 2A 'Ns tItt 874 If m 725J 3283V 4f A's !!§¥ 133 ft mi 490J 1911 M t'A A 1154 f* wfh 870f 332H 3^ t1^ 2^5 85t A% mi 220* 684i 2*1 B^ T^ 108t', il- m 1,780 565g\ 5A xfiT W 1064a ls ^tV^ 496J 225i 3A A A 3024 H 4-111 1,0314 282^ 4A ^v 5#¥ 85A iVr 5|i ANSWERS. COMMON FRACTIONS (page 12; Examples. 1 154 155 ItV ^o\ m ft'n lA rfV iff ifVt°t 1ft U Uij m ItVt ill! m Its ^h hh mi 120 9 -•-2 9 m laTu -^405 6 11 7i -^30 1 ItV 1 .5 ^2T 211 tV^ T62 18 2 2 5 ^\ m 156 m 92 9 ^98 ^86 2fJ 4.23 ^4 m 2t^t^ 28H 5th m 5 2fM 611 m ^^t\ 157 IsYo #^4 243 T^ 24B^ 7^8 14 9 -•-96 _J_9_0_ 1029 •200 m u I260 m u 2x^ 158 l2¥o 4 2 113 -•-34 m 2a9 336 1x^2 19% _2_7 8 3 15 -^504 1_9J_ -^9 10 lltl 19^2 1_7_1_9_ -■■200 2 A33 462 12%% 59f| 159H 152f 103A 1061 13oj\ 201M 256f 62ft 312|f 135i 224| 4tff-0-|4 2 9 5^^0% 4_98__5_ ^2303 JL7_2_5_ 4 1884 Mm 9_6 8 4 62 5 t¥AW5 imm 35423 3MM1 12 5 10 2382FFT 2MIM 2¥8¥t 3lMlfe 62 DRILL EXERCISES. COMMON FRACTIONS (page 123). Examples. 161 162 iss 264 ! 165 166 I i07 1. m Vl% lOfft m m If 4ii 2. mi 7i 161 l^,y 17f ItVk 5| 3. 23-^^ 20^ 7 m 14«| 3^ 1 U 4. 3oi|| 14A 22fi i% 22J 2?l m 5. 5311 13t't 9iii m 29t^^^ 3ft 5ti 6. m 19tVV WA-'o If* 25J 4ft 2| 7. ism 22A% 8^ft lit 7f m- 2ft 8. 46ft 48J 7J m 15JI 3ft U 9. 203iV 38f 14 fi 35tV 2il ft 10. 59iSJ lOifl 7A im 29^ 2t% m 11. 43i8J lOfl 15iV. lit 17 mi m 12. 73i 575V 8ff ItJ^ 30,V 1H2 IH- 13. <5'¥i 24iS 4/A^o 1* 41M 9ft i-i 14. 7011 25J 102 Hi 48^ 3iJ 3s 15. 1224 2941 21 1 44U 3ft 2ft»i 16. 222 433 14| % 37ft m 21 17. 79|3 29iiJ 5|f m 36| 3Jr lA 18. 97t% 12,^ 25A n 311 3^^ 2i« 19. 187A 13J|^ 59#ft \\ 22t* 2Th se 20. 59A 34i9 10 if 39?| 4ft 3ft 21. ! 70| 14511 19Hi Ir'ft 22^ 1§5 m 22. 65i| 23^5 25^^ IH lOf 1ft 2ft 23. 1 3004^ 12}M 53tW. iii 43if 2/ft 2f 24. 265 20|f 176f T«f 23i I2A ■sj 25. 77ii 25JI 184 IM 30A Ifi '4ft ANSWERS. 63 COMMON FRACTIONS (page 123). Examples. 1. 168 n 3A 731 ' 39 12 TT 321 15f 19i§ 13H 16|f 135 26y 1311 169 38^ 34i-^ 49H 45x^3 51 48 43i| 46A 292V 50| 31.^3 31A 49i 56if 48i 451 35if 55A 42 170 171 21| 341 131 j29i 21A 37f 131 28 29^ 90 731 42 43^ 38 29f 43| 34f 49 27i| 38f 12f 28 24 25f 44t 46| 271 144 39|- 22t 161 40f 34f 441 321 49f 33 172 I 67.50 126.00 28.00 117.00 92.40 44.57 46.25 10.89 53.67 107.50 206.50 92.59 14.38 173 n If 23«y 4i 9f 3ii 6f HI 102.86 2|f 98.00 48.40 54.78 95.33 163.40 47.14 45^ 220.00 37Mjl4i-g30 : 44.59 472^1 33Jt[ 501 ! 248.89 71t^,Ii6j^ 461 102.00 2^\ 36|f|31| '41f ; 184.891 3§i 3i| 10 117 2 2 2H 2ff 3f\ 3#o 174 175 1 19.26 4A 9.53 5A 5.48 2f 16.47 5ii 7.39 4tV3 13.37 3§i 5.76 3,V\ 2.57 Ift 7.87 2/j 3.87 4A«j 12.53 6HI 16.97 3|i 2.^^ m 13.20 im 19.60 45VT 8.47 2 4.79 2ilS 15.66 m 49.02 5m 8.49 3t«7 23.83 6HS 11.29 2*1 48.53 6|| 75.89 4^% 25.42 5AV i70 45 19A 21 52 12M 18A m 2 03 7 ISff 4|f 6if lOM 21 3iii 16H 15|i 14it 12« m 64 DRILL EXERCISES. DECIMAL PIIACTI03S1S (page 135). Examples. 1. 2. 3. 4. 7. 8. 9. 10. 11. 12. 13. U. 15. 16. 17. 18. 19, 20. 21. 22. 23. 24. 25. 179 25.002 0.0206 700.8 0.00404 50.5050 8.96 5,002.05 0.00016 0.000112 2.25 701.6 2.206 0.0936 54.054 806.001047 500.26 0.001000 . 0.000029 8.46291 0.511 4,271.0004271 68,000.4^ 0.122 8.04f 500.01 180 181 ^0 A_0_0 1 ija m m ^/o Uh ?0<5 H-" 200 T2V0 i^a Wo^- i 8 0^0 xiF -¥- If iB ^l *ih'- w ^i,\ w- m aooi LP_l. 23-0 8621 1000 500^0 2M I 2_0 7 63! 1 0000 3 6 5_3 '2 _1 1 _ lO'OOO 3 S 3 9 T250 40 03 i 50 I hm 50V0 10 7 0x1 000 182 0.056 0.5937... 0.0556 0.0015 0.575 0.0025 0.1481.. 0.8125 0.2312.. 0.0703.. 0.064 1.0625 0.3809.. 0.9166 . O.booo.. 0.4666.. 0.0378.. 8.2272. 0.6785. 0.0769. 0.1904. 0.2941. 0.2857. 2.9473. 0.0875 183 25.027 25.7706 701.1504 1.01404 300.505 8.9608 5,018.055 8,000.00016 5.600112 2.958 720.964 2.2576 1.8256 8,070.054 810.951047 500.272 12.008 45.900029 17.08391 0.51662 5,273.0004271 68,002.325 0.244 9.057a 508.401 ANSWERS. t)S f DECIMAL FRACTIONS (page 135) 184 185 186 5,025.002 5,025.027 24:.977 1.6686 27.4186 25.7294 701.457 701.8074 700.4496 (T.00654 1.01654 1.00596 50.51 300.51 199.495 456.96 456.9608 8.9592 5,004.55 5,020.555 4986.045 0.00816 8,000.00816 7999.99984 1.680112 7.280112 5.599888 609.25 609.958 1.542 719.68 739.044 682.236 11.366 11.4176 2.1544 800.1936 801.9256 1.6384 54.0592 8,070.0592 7,961.946 808.077347 813.027347... 801.051047 518.525 518.537 500.248 0.0111 12.0181 12.006 3.071229 48.971229 45.899971 88.52291 97.14391 0.15809 5.911 5.91662 0.50538 4,271.6809271 5,273.6809271 3,269.0004271 68,004.521 68,006.396 67,998.575 24.522 24.644 0. 8.0430f 9.0580^ 7.027f 501.137§ 509.472^ 491.731 66 DRILL EXERCISES. DECIMAL FRACTIONS (page 135). Examples. 1. 187 4,999.975 188 4,974.998 189 0.62505 2. 24.102 1.6274 0.53045 3. 0.3066 700.143 245.56032 4. 1.0075 0.00154 0.0040804 5. 249.995 50.5 12,626.25 6, 447.9992 439.04 0.007168 7. 13.505 4,999.55 80,057.81025 8. 7,999.992 0.00784 1.28 9. 3.92 1.679888 0.0006272 10. 606.292 604.75 1.593 11. 1.284 683.52 13,585.7824 12. 9.1084 6.954 0.1138296 13. 798.368 800.0064 0.1621152 14, 8,015.9948 54.0488 433,296.864 15. 2.8737 803.924747 3,989.70518265 IS. 18.253 481.995 6.00312 17, 11.9969 0.0091 0.012007 18. 42.8288 3.071171 0.0013311 ID. 71.439 71.59709 72.95874711 20. 5.39438 4.889 0.00287182 21. 1,001.3195 4,270.3199271 4,279,542.4279542 22. 2.196 67,996.379 127,500.84375 23. 24.278 24.278 0.014884 24. 1.0148 8.0426f 8.1635 25. 7.263f 498.9951 4,167.777|f DECIMAL FRACTIONS (page 135). 190 191 192 125 125,010 0.000999... 42.436 0.0339488 1,250 0.2302128 460.4256 0.0005 0.002525 0.0000101 250 1.25 0.252525 4.950004... 0.3584 4,014.08 0.000089... 40.0125 12,505.125 0.003199... 64 0.00000128 50,000,000 9.408 0.00018816 50,000 429.756 1,365.75 0.314666... 350.10112 12,684.928 0.027599... 0.472656 20.20696 0.023390... 1,385.7732 74.88936 18.504273... 41.6832 0.2810808 148.296148... 10.277685 ' 1,673.4999738861 0.006141... 0.219180 9,137.2489 0.000023... 0.1212707 0.0000101 12,007 140.96808 0.0000890648 1,582,758.620689 690.19726 677.5405746 1.018680... 0.030348 2.7594 0.010998... 681.861 2,906.41579064155 0.234605... 7.633125 ' 276,829.83195 0.000027... 2.9768 2.9768 1 0.000203 0.001608i 0.126198... 8.92619 535.5714 0.016666... 67 68 DRILL EXERCISES. Examples. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10, 11, 12. 13, 14. 15. 16. 17, 18. 19. 20. 21. 22. 23. 24. 25. DECIMAL 193 200,000 0.064 1.875 0.002475... 0.00002 560,000 0.156201... 0.000001 0.3 857.344632... 0.933691... 177.519379... 461.951501... 0.0000006... 0.419454... 1,522.083333... 0.000841... 0.066910... 9.286625... 960.854092... 0,000679... 2.1712 200 0.000197... 0.128502... FRACTIONS (page 135). 194 195 199.984... 5,000.50002 80 259.148206 0.000937... 11.169 0.618811... 10.1025404 0.000099... 2,500.51005 50 448.0976 0.000499... 212.5705 50 80,000.0080016 15,000 57.68000112 269.777777... 614.1025 0.025769... 218.736 4.152311... 9.69806 8,548.076923... 817.420936 0.000096... 80,160.54574 0.002576... 59.63631047 0.036511... 23.3876 10.1 120.08011 105,903.448275... 462.07120029 9.460102... 166.3546291 10.567514... 5.46131 0.000159... 10,063.390504271 0.000059... 702.8255 200 25.62122 0.000002... 10.2304f 0.002141... 89.4165... ANSWERS. by COMPOUND NUMBERS (page 171). 196 197 198 10,000 lb. 120 oz. 86,854 oz. 11,200 lb. 543 lb. 2,079 lb. 1,200 pwt. 234 pwt. 870 pwt. 26,400 ft. 16 ft. 572 ft. 512,000 sq. rd. 641 sq. yd. 7,689 sq. rd. 233,280 cii. in. 24,521 cu. in. 307,362 cu. in. 640 cu. ft. 302 cu. ft. 11,884 cu. ft. 160 gi. 7pt. 37 pt. 320 pt. 79 pt. 170 qt. 108,000' 5,894'' 1,008,148" 43,800 hours. 8,355 hours. 17,706 hours. 2,635,200 min. 1,270 min. 11,285 min. 990 in. 33 in. 3,110 in. 24,200 sq. yd. 11,774 sq. in. 735,345 sq. in. 80 pt. 7gi. 54 gi. 18,000" 4,138" 67,014" 2,400 gr. 551 gi. 5,732 gi. 180 in. 27 in. 196 in. 1,3611 sq. ft. 89 sq. ft. 53,001 sq. in. 40 gi. 7gi. 22 gi. 50,400 min. 1,421 min. 642 hours. 6,480 sq. in. 3,916 sq. in. 5,652 sq. in. 432,000 sec. 2,898 sec. 244,542 min. 720 sq. in. 25,740 sq. in. 146,998 sq. in 720 units. 250 1,197 70 DRILL EXEIWISES. COMPOUND NUMBERS (page 171). 199 200 nu T. 6Q> T. 687 lb. Iff ^ T. 59 T. 4 cwt. 2 qr. 23 lb. 1341 lb. 552 lb. 10 oz. 7 pwt. ' . mo m. 25 m. 41 rd. 3 yd. l^ft. ^IfUsq.m. 1 sq. m. 189 A. 47 sq. rd. t! -Ik c^^- y2S^ sq. in. -HtM sq. rd 104^. 66.6288 t'tt gross. 72 DRILL EXERCISES. COMPOUND NUMBERS (page 171). 204 0.3128... T. 0.6375 1. T. 0.6875 lb. 0.6272.. m. 0.8750.. sq. m. 0.1674.. cu. yd. 0.3593.. cd. 0.75 gal 0.7812.. bu. 0.2518.. . circ. 0.0123.. . c. y. 0.1796.. .l.y. 0.9698.. . m. 0.1827.. A. 0.3125 p k. 0.8625°. 0.8416.. lb. 0.1292.. m. 0.9733.. sq. rd. 0.25 qt. 0.5 wk. 0.0092.. sq. yd. 0.5479.. d. 0.0169.. sq. rd. 0.5972.. gro. 205 129 FT95 200 m m ^48000 5if^4 ^t^W^-lT I4VV 178| Iff [yd- 206 7 T. 61 lb. 10 oz. 6 1. T. 16 cwt. 18 lb. 14 lb. 3 oz. 9 pwt. 10 m. 236 rd. 2 yd. 1 sq. m. 608 A. 15 sq. rd. 4 sq. 15 cu. yd. 7 cu. ft. 1007 cu. in. 195 cd. 4 cd. ft. 8 cu. ft. 31 gal. 1 qt. 16 bu. 1 pk. 2 qt. 1 pt. 2 circ. 12° 20' 42''. 5 y. 360 d. 9 li. 1 1. y. 74 d. 11 h. 15 m. 7 m. 6 rd. 1 yd. 11 in. 5 A. 48 sq. rd. 9 sq. yd. 83 sq. in. 8 pk. 2 qt. 1 gi. 74° 37' 37". 6 lb. 11 oz. 3 pwt. 19 gr. 3 m. 42 rd. 2 yd. 2 ft. 1 in. 7 sq. rd. 19 sq. yd. 6 sq. ft. 81 sq. 1 gal. 2 qt. 1 pt. 3 gi. '-^"' 32 w. 3 d. 5 h. 41 m. 28 sq. yd. 3 sq. ft. 76 sq. in. 1 y. 89 d. 9 h. 39 m. 18 s. 15 sq. rd. 115 sq. ft. 28 sq. in. 1 gr. gr. 10 gr. 7 doz. 9. ANSWERS. 73 COMPOUND NUMBEKS (page 171). Examples. 1. 207 3 T. 285 lb. 8f oz. 1 1. T. 7 cwt. 15 lb. 4 lb. 12f pwt. 171 rd. 4 yd. 1^:^ ft. 322 A. 544 rd. 208 1164 lb. 4i oz. 16 cwt. 1 qr. 18.616 lb. 1 lb. 6 oz. 12.816 pwt. 186 rd. 0.952 ft. 370 A. 30 sq. rd. 8.84 sq. yd. 7 cu. yd. 765f cu. in. 1 cu. yd. 2 cu. ft. 1,394.8304 cu. in. 93 cd. 2 cd. ft. 2f cu. ft.: 2 cd. 7 cd. ft. 8.0352 cu. ft. 1 gal. 1 qt. 1 pt. 2.5088 gi. \ 1 bu. 3 pk. 2 qt. 0.0176 pt. 209° 51' 40.4''. 1 y. 194 d. 5.784 h. 212 d. 13 h. 49.936 m. 4 yd. 3.5232 in. 92 sq. rd. 25 sq. yd.4 sq. ft. 124!976 5 qt. 1 pt. 0.0176 gi. 5 gal. 15 gi. 5 bu. 2 pk. 7f qt. 1 circ. 74° 19' 36f". 2 c. y. 164 d. 4f li. 164 d. 16 h. 39f m. 16 rd. 2 ft. 2f in. [sq. in. 87 sq. rd. 89 sq. ft. 55f 1 pk. 2 qt. If gi. 19° 2' 36f". 1 lb. 7 pwt. 9^ gr. 5 yd. 2 ft. 7f in. Tin. 1 sq. rd. 23 sq. yd. 5 sq. ft. 705. sq. 3qt. Ifgi. 4 w. 1 d. 18 h. [in. 4 sq. yd. 7 sq. ft. 15f sq. 170 d. 5 h. 59| m. 3 sq. rd. 204 sq. ft.'n'i 8 gr. 8 doz. lOf . 1° 43' 40.24". 1 oz. 14 pwt. 12.632 gr. 1 yd. 11.8224 in. 27 sq. yd. 3.4694 sq. ft. 1 qt. 3.6272 gi. 5 d. 51.272 m. 3 sq. yd. 5 sq. ft. 57.6064 sq. in. 14 li. 41 m. 11.76 s. 179 sq. ft. 47.2896 sq. in. 2 gr. 3 doz. 9.2896. 74 DRILL EXERCISES. COMPOUND NUMBERS (page 171). Ex. 1. 2. 3. 4. 5. 6. 7, 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20, 21. 22. 23. 24. 25. 209 2 T. 1420 lb. 14 oz. 13 cwt. 2 qr. 24 lb. 2 lb. 7 oz. 16 pwt. 33 rd. 3 yd. 2 ft. 6 in. ■iS A. 6 sq. rd. 26 sq. yd. 2 sq. ft. 36 sq. in. 6 cu. yd. 1 cii. ft. 1,177 cu. in. 90 cd. 3 cd. ft. 14 cu. ft. 3 gal. 3 qt. 4 bii. 2 qt. 1 pt. 278' 24' 14''. 1 y. 24 d. 15 h. 6 d. 22 h. m m. 15 rd. 8 ft. 11 in. IS sq. id. 13 sq. yd. 7 sq. ft. 43 sq. in. 5 qt. 1 pt. 3 gi. IT 27' 56". 10 oz. 15 pwt. 21 gr. 4 yd. 2 ft. 1 in. 31 sq. yd. 9 sq. in. 1 qt. 1 pt. 3 gi. 3 w. 4 d. 18 h. 19 m. 1 sq. yd. 3 sq. ft. 8 sq. in. 169 d. 18 h. 53 m. 42 s. 3 sq. rd. 25 sq. ft. 46 sq. in. 6 gr. 6 doz. 11. 210 1 T. 1,197 lb. 6 oz. 4 1. T. 14 cwt. 21 lb. 6 lb. 15 pwt. 10 m. 166 rd. 1 ft. 1 sq. m. 511 A. 155 sq. rd. 1 cu. yd. 15 cu. ft. 1,122 cu. in. 7 cd. 4 cd. ft. 2 cu. ft. 21 gal. 1 pt. 4 bu. 1 pk. 7 qt. 170' 37' 32". 361 d. 18 h. 1 1. y. 57 d. 21 h. bo m. 6 m. 294 rd. 3 yd. 1 ft. 10 in. [in. 5 A. 10 sq. rd. 132 sq. ft. 27 sq. 6 pk. 3 qt. 1 pt. 2 gi. 36° 14' 51". 4 lb. 10 oz. 3 pwt. 4 gr. 3 m. 40 rd. 2 yd. 2 in. [sq in. 4 sq. rd. 18 sq. yd. 7 sq. ft. 27 Ipt. 24 w. 4 d. 18 h. 16 sq. yd. 5 sq. ft. 120 sq. in. 114 d. 17 h. 27 m. 7 sq. rd. 72 sq. ft. 116 sq. in. 4 gr. 3 doz. 5. ANSWERS. COMPOUND NUMBERS (page 171). Ixamples. 211 1. 25 T. 1,754 lb. 8 oz. 2. 33 1. T. 16 cwt. 2 qr. 3. ^d, lb. 1 oz. 10 pwt. 4. 63 m. 244 rd. 2 yd. 5. 11 sq. m. 160 A. 24 sq. rd. 6. 49 cii. yd. 216 cu. in. 7. 602 cd. 1 cd. ft. 4 cu. ft. 8. 154 gal. 2 qt. 9. 58 bu. 2 pk. 6 qt. 10. 7 circ. 184°. 11. 18 c. y. 27 d. 12. • 7 1. y. 28 d. 12 h. 13. 41 m. 262 rd. 1 yd. 14. 31 A. 15 sq. rd. 123 sq. ft. 108 sq. in. 15. 43 pk. 7 qt. 16. 329° 10' 30''. 17. 35 lb. 12 pwt. 18. 18 m. 248 rd. 1 yd. 19. 35 sq. rd. 25 sq. yd. 3 sq. ft. 108 sq. in 20. 4 gal. 3 qt. 1 pt. 21. 171 w. 22. 4 sq. rd. 5 sq. yd. 72 sq. in. 23. 4y. 247d. 61i. 54 m. 24. m sq. rd. 3 sq. yd. 108 sq. in. 25. 6 gr. gr. 3 gr. 7 doz. 75 76 DRILL EXERCISES. COMPOUND NUMBERS (page 171). 213 8621b. 9^ oz. 11 cwt. 1 qr. 2 lb. 12| oz. 11 oz. 12 pwt. 12 gr. 1 m. 20 rd. 1 ft. 2f in. 120 A. 12 sq. yd. 129| sq. in. 22 cu. ft. 90 cu. in. 10 cd. 4f cu. ft. 2 gal. 2 qt. 2| gi. 3 pk. 7 qt. 2f gi. 45° 4'. 109 d. 22 h. 48 m. ■ 43 d. 4 h. 12 m. 223 rd. 71 in. 82 sq. rd. 251 sq. ft. 90 sq. in. 5 qt. 1 pt. 2| gi. 5° 29' 101". 7 oz. 4f gr. 100 rd. 2 ft. 3 in. 18 sq. yd. 90 sq. in. 2|gi. 2 w. 5 d. 22 h. 48 m. 2 sq. yd. 130* sq. in. 28 d. 10 h. 54 m. 54 s. 1 sq. rd. 3 sq. yd. 99 sq. in. 1 gr. 3 doz. If. Examples. 1. 212 112 lb. 8 oz. 2. 31.T. 12cwt. 2qr. 251b. 3. 141b. 7oz. 10 pwt. 4, 14 rd. 3 yd. 5. 31 sq. rd. 29 sq. yd. 6 sq. ft. lOS sq. in 6. 7 cu. yd. -23 cu. ft. 1,479 cu. in. 7. 35 cd. 3 cd. ft. 2 cu. ft. 8, 13 gal. 1 pt. 9. 18 bu. 2 pk. 1 pt. 10, 24° 33' 30". 11. 14 y. Ill d. 21 h. 12. 13 d. 5 h. 30 m. 13, 2 rd. 2 yd. 2 ft. 3 in. 11, 4 sq. rd. 15 sq. yd. 2 sq. ft. 66 sq. in. 15. 1 pk. 5 qt. 1 gi. 16. 17° 14' 30". 17. 1 lb. 5 oz. 4 pwt. 9 gr. 18. 2 rd. 9 in. 19. 4 sq. rd, 27 sq. yd. 3 sq. ft. 20. 3 gal. 1 qt. 1 gi. 21, 14 d. 19 h. 15 m. 22, 1 sq. rd. 15 sq. yd. 96 sq. in. 23. 12 h. 4 m. 30 s. 24. 9 sq. rd. 25 sq. yd. 6 sq. ft 25. 2 gr. gr. 2 gr. 6. ANSWERS. / COMPOUND NUMBERS (page 171). Examples. 1. 214 775 lb. 7f oz. 215 21,7131 2. 2 cwt. 2 qr. 17 lb. 519f 3. 6 oz. 4 pwt. 6f gr. 2171 4. 5. 4 rd. 5 yd. 84 in. 6 A. 138 sq. rd. 12 sq. yd. 8 sq. ft 97^ 143 1,9221 6. 25 cu. ft. 708f cii. in. 76,8401 7. 13 cd. 2 cd. ft. la cu. ft. 2,971 8. 2 qt. 1 pt. 11- gi. n 9. 3 pk. 2f gi. m 10. 40= 211''. 252,037 11. 105 d. 9h. 25 m 42f- s. 4,4261 12. 1 d. 2 h. 52 m. ^ s. 2,8211 13. 2 rd. 4 ft. f in. 777|- 14. 2 sq. rd. 185 sq. ft. If sq. in. 183,8361 15. 1 pt. 3f gi. 131 16. 2^ 39' 33f '. 16,753^ 17. 1 oz. 14 pwt. 2f gr. 1,433 18. 2 ft. 4 in. 49 19. 5 sq. yd. 7 sq. ft. 83f sq. in. 13,2501 20. 3}gi. 51 21. 3 d. 19 h. 42 m. 51f s. 160^ 22. 5 sq. ft. 87f sq. in. 1,413 23. 24 d. 6 h. 14 m. 34f s. 61,1351 24. 145 sq. ft. 119^ sq. in. 36,7491 25. 1 gr. 2 doz. 3. 2991 77 78 DRILL EXERCISES. PEKCENTAGE (page 253). The follow hat pupils 6 Examples. 1. ing answers in perce [lould be required to 213 1 32.004 itage arc either exact give answers only to t 217 $ 2.1336 or carried out to mi lie nearest cent. 218 % 0.8696 is, but it is suggested 219 8 12,801.60 2, 24.432 2.2905 2.46221 3,817.50 3. 2.71524 0.362031 0.580821 3,016.9331 4. 14.1076 4.70251- 2.104 35,269.00 5. 280.00 10.00 7.25 57,142.8571 6. 9.6032 1.2004 2.268 6,002.00 7, 0.99374 0.05420f 1.7492t 82.127t\ 8o 0.805 0.70431 0.13134f 8,050.00 9. 305.00 25.411 46.605 30,500.00 10, 50.4072 1.1201f 0.56074 6,223.1111 11, 18.024 0.18771 3.72841 1,251.666§ 12, 162.00 43.20 6.6728 180,000.00 13. 13.808 4.60261 7.7370 1 34.520.00 14. 5.4675 0.30371 0.55784 675.00 15, 42.503 6.37541 1.474411 17,001.20 16o 0.71588 0.013011 1.316 59.163/t n, 70.001 2.33331 1.12631 7,000.10 18. 0.382 0.1528 0.05538f 3,820.00 19. 23.6016 2.36016 4.6288 14,751.00 20. 0.944 0.0118 0.467289 147.50 21, 56.6342 4.0453 25.5375 11,558.00 22. 78.4908 0.327045 9.1339 5,450.75 23, 5,000.00 6.00 250.30 20,000.00 24. 3,600.00 2.88 1,641.312 3,600.00 25. 63.609 2.726 4.699 12,981.42f ANSWERS. 79 PERCENTAGE (page 253). samples. 220 221 222 223 224 1. % 192,024.00 2.5% + $ 29.8704 $ 30.48 8 609.60 2. 40,720.00 9.2 + 22.1415 22.623 282.777 3. 22,627.00 18.8 + 2.353201 2.637 87.871 4, 105,807.00 11.1 + 9.40501 13.831 691.549 5. 1,600,000.00 2.5 270.00 261.683 3,738.317 6. 48,016.00 20.9 + 8.4028 9.234 230.846 7. 1,505.66| 166.9 + 0.939533- 0.896 8.138 8. 9,200.00 8.7 + 0.10061 0.798 79.702 9. 366,000.00 14.1 + 279.58^ 277.273 2,772.727 10, 280,040.00 1.0- 49.2870f 46.246 513.834 11, 120,160.00 20.4 + 17.83621 16.093 134.107 12, 675,000.00 3.2 + 118.80 157.282 5,242.718 13. 103,560.00 42.0 + 9.20531- 13.538 676.862 14. 12,150.00 9.6 + 5.16371 5.017 55.733 15. 113,341.331 3.0 + 36.1275^ 40.48 809.58 16. 3,254.00 180.5 + 0.070286?- 0.645 5.863 17, 210.003.00 1.5 + 67.66761 63.638 636.372 18. 9,550.00 10.3 + 0.2292 0.379 37.821 19, 147,510.00 17.8 + 21.24144 22.694 567.346 20. 11,800.00 48.8 + 0.9322 0.875 10.925 21, 161,812.00 42.8 +' 52.5889 52.93 756.13 22. 1,308,180.00 11.5 + 78.163755 70.082 584.008 23. 16,666,6661 5. 4,994.00 3,333.334 Mm.Q>m 24. 4,500,000.00 45.5 -V 3,597.12 1,800.00 1.800.00 25. 302,900.00 i 7.0 + 60.882 59.448 849.252 80 DRILL EXERCISES. PERCENTAGE (page 225 June 20, 1873. Feb. 2, 1873. Oct. 27, 1876. July 24, 1875. March 19, 1874. Sept. 1, 1876. May 15, 1879. Nov. 22, 1874. Sept. 30, 1875. Dec. 14, 1871. Feb. 27, 1873. April 21, 1873. Dec. 18, 1876. Dec. 6, 1872. Oct. 10, 1872. June 29, 1872. Feb. 24, 1872. August 15, 1874. March 14, 1872. July 29, 1876. Dec. 12, 1873. Dec. 1, 1875. April 10, 1872. Nov. 28, 1871. July 12, 1873. 223 1 0.094 0.071 0.295 0.2191 0.1381- 0.285f 0.448 0.179L 0.230^ 0.002f 0.075 0.084^ 0.3031 0.0611- 0.052^ 0.3351 0.0141 0.163^ 0.0171 0.280^ 0.1221 0.2401 0.022,1 0.000^ 0.097i 227 % 0.015§ 228 $ 0.078^ O.Ollf 0.094| 0.0491 0.1471 0.036tV 0.073^ 0.023ii5 O.Wlj'^ 0.047§a 0.190f 0.074§ 0.8211 0.0291 0.0291 0.038tV 0.3841 O.OOOii 0.0041 0.0121 0.15 0.014^V 0.042^5 0.050/^ o.iou 0.0101 0.0921 0.00811 •0.0431^ 0.0551 0.614^ 0.0024 0.024* 0.027/^ 0.027,V 0.002H 0.011^ 0.04611 0.3737- 0.020x\ 0.14211 0.0401 0.4811 0.00311 0.1861 0.000^ 0.0021 0.0161 0.1131 ANSWERS. 81 PERCENTAGE (page 253). 229 j 230 0.005f $ 0.083f 0.008^ ! 0.103i| 0.0191 [ 0.1671 0.024/^ ! 0.0971 O.OOoff 0.167H 0.023f| 0.0441 0.026H 0.032yV O.OOOtVo 0.001^9^ O.Ollf 0.033i| 0.005^ 0.00611 O.Oll^^ O.OOOff 0.010^ 0.001,«3 0.004lfi 0.010/:f 0.002Tk O.OOO3V0 0.000^1^ 0.0041 0.2141 0.866t2^ 0.056 gL 0.416}| 0.004|i 0.151A 0.053M 0.1341 0.0971 0.049i-|f 0.625-lf 0.025jV 0.038^^0 0.012|f 0.378^0 0.1531 0.483t^Jo 0.186^-0-1 0.002Jt 231 232 1 8 50.139 $ 53.482 i 28.911 31.621 13.349 15.129 51.61 68.813 645.555 668.611 45.748 51.467 7.419 7.824 2.406 4.511 1,171.708 1,269.35 2.38 2.433 22.53 22.764 227.25 287.85 69.845 93.127 5.604 5.915 36.953 42.497 4.001 4.073 17.111 17.681 1.038 1.454 6.949 7.644 4.41 4.465 1 115.628 123.887 314.835 316.147 1,861.111 1,863.344 10.00 10.008 103.364 107.794 233 % 700.247 327.083 117.207 860.21 4,553.333 308.702 13.081 94.936 3,753.025 161.465 5,854.50 899.936 64.486 894.404 8.69 710.276 UA32 600.464 15.107 908.169 811.507 10,223.333 3,600.60 997.298 82 DRILL EXERCISES. PEKCENTAGE (page 253). Examj 1 .les. 234 % 93.835 235 % 51.513 236 $ 742.566 2 73.615 29.764 354.299 3 7.815 5.315 104.999 4 40.238 23.673 818.322 5 836.057 376.549 4,640.468 6 27.899 17.382 278.519 7 3.074 1.536 10.479 8 2.274 1.611 93.388 9 935.74 601.39 3,538.356 10 153.26 54.139 649.757 11 56.297 23.626 174.248 12 466.352 230.437 6,264.631 13 39.384 14.698 800.944 14 16.622 5.738 70.476 15 124.618 82.269 986.167 16 2.216 1.208 7.550 17 214.762 90.615 812.092 18 1.078 0.659 44.315 19 68.567 31.066 684.514 20 2.843 1.654 13.688 21 169.104 60.152 938.603 22 245.165 81.824 758.82 23 21,500.00 8,532.986 11,601.17 24 22,320.00 4,522.50 4,176.421 25 189.93 107.504 1,054.197 ANSWERS. 83 PERCENTAGE (page 238 5 m. 21 d. Iy.l9d. 5 y. 6 m. 18 d. 4 y. 2 m. 10 d. 4 m. 4 d. 4 y. 7 m. 29 d. 14 y. 4 m. 20 d. 4 y. 7 m. 20 d. 1 y. 3 m. 18 d. I m. 12 d. 1 y. 8 m. 7 d. 10 m. 8 d. 15 y. 9 m. 3 d. 1 y. 6 d. 6 m. 8 d. 16 y. 1 m. 13 d. 1 m. 24 d. 7 y. 4 m. 22 d. 4 y. 18 d. 6 y. 12 d. 5 y. 7 m. 10 d. II m. 16 d. 1 in. 5 d. 5 m. 13 d. 11 m. 19 d. 239 S 208.148 297.253 115.816 1,078.359 619.621 264.489 18.360 234.368 1,119.826 1,434.117 205.00 4,172.673 2,867.94 63.653 589.847 19.112 445.909 145.47 8,932.075 15.434 2,382.507 157.479 2,686.567 590,400.00 565.89 253). 240 % 585.082 285.154 69.89 578.417 3,513.909 186.711 6.238 68.258 2,478.667 558.497 139.72 4,980.784 529.65 57.23 807.913 4.873 689.891 32.841 579.796 9.216 720.766 527.208 9,781.545 3,599.40 827.972 I 241 $ 593.582 278.989 78.874 I 657.288 3,444.152 201.653 4.96 78.163 2,203.491 557.709 130.608 5,181.927 626.971 55.619 814.645 '4.03 683.306 37.188 583.171 8.589 707.89 441.554 8,430.913 3,590.027 815.892 84 DRILL EXERCISES. PERCENTAGE (page 253). Examples. 1. 242 % 46.498 243 % 54.998 244 % 18.402 245 % 621.678 2. 26.411 20.246 4.682 300.718 3. 11.634 20.618 2.511 87.997 4. 48.092 126.963 9.405 695.975 5. 555.848 486.091 87.888 3,912.112 6. 38.427 53.369 7.415 232.665 7. 4.074 2.796 0.472 8.562 8. 2.337 12.242 0.802 79.698 9. 846.509 571.333 259.25 2,790.75 10. 2.371 1.583 2.80 557.28 11. 19.592 10.48 4.656 145.544 12. 218.073 419.216 66.60 5,333.40 13. 63.429 160.75 0.92 689.48 14. 5.131 3.52 0.182 60.568 15. 35.415 A2.U1 37.308 812.752 16. 2.478 1.635 0.427 6.081 17. 16.704 10.119 17.694 682.316 18. 1.012 5.359 0.278 37.922 19. 6.869 10.244 7.146 582.894 20. i 3.211 2.584 0.642 11.158 21. ! 101.17 88.294 1 2.831 806.229 22. 212.536 126.882 1.526 652.564 23. 1,569.087 218.455 1,902.777 8,097.223 24. 9.973 0.60 1 40.00 1 3,560.00 25. 92.808 80.728 i 40.285 868.415 ANSWERS. 85 PERCENTAGE (page 253). 246 S 662.951 ROOTS 308.952 95.826 734.77 4,076.779 251.744 9.299 85.623 3,213.909 561.953 152.564 5,536.568 693.172 60.871 897.318 6.749 710.79 39.944 600.957 12.302 811.494 654.853 10,233.668 3,602.401 944.594 247 25.4558.. 21.7485.. 28.8963.. 24.3310.. 26.9443.. 30.8868.. 19.1572.. 17.0000 25.1992.. 22.1133.. 19.3649.. 26.2488.. 27.6405.. 29.4108.. 28.2134.. 18.6279.. 24.2074.. 25.0399.. 19.8746.. 27.1661.. 24.0624.. 22.0454.. 30.6920.. 16.6733.. 24.2280.. (page 276). 248 200.3... 186.9... 166.9... 198.4... 208.5... 179.4... 157.4... 141.7... 186.3... 179.4... 196.2... 154.2... 170.0... 211.2... 161.1... 185.7... 116.9... 195.0... 186.1... 141.5... 174.4... 152.4... 194.7... 182.5..^..^- ^ ^ C>'sr K T-^C? Q. A UNIVERSITY OF CALIFORNIA LIBRARY