IMAGE EVALUATION TEST TARGET (MT-3) /> 1.0 I.I j|50 ""^" 2.5 12.2 12.0 1.8 11.25 =y= III 1-6 ^ 6" — ► p /i <^ ^;^ ^4 J 5^ o;^ m Photographic ^Sciences Corporation <> '% r^^ 23 WEST MAIN STREET WEBSTER, N.Y. 14580 (716) 87il.4503 CIHM/ICMH Microfiche Series. CIHM/ICMH Collection de microfiches. Canadian Institute for Historical Micrordproductions / Institut Canadian de microreproductions htstoriquas Tachnical and Bibliographic Notss/Notas tachniquas at bibliographiquas Tha Institute has attamptad to obtain tha bast original copy availabia for filming. 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This item is filmed at the reduction ratio checked below/ Ce document est filmi au taux de reduction indiquA ci-dessous. 10X 14X 18X 22X 26X 30X y 12X 16X 20X 24X 28X 32X Th« copy fiimad h«r« has b««n raproducsd thanks to tho gonorosity of: D. B. Weldon Library University of Western Ontario (Regional History Room) Tho imagos appaaring hara aro tha baat quality poaaibia eonaidariny tha condition and lagibility of tha original copy and in itaaping with tha filming cont.'act spacificationa. L'axamplaira fiim4 fut raproduit grica i la giniroaiti da: D. B. Weldon Library ' University of Western Ontario (Regional History Room) Laa imagaa suivantaa ont *ti raproduitaa avac la plua grand soin, compta tanu da la condition at da la nattati da l'axamplaira filmA. at •n conformity avac laa conditions du conrrat da fiimaga. 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Un dee symbolae suivants apparaitra sur la damiira image de cheque microfiche, selon I caa: la symbole — »> signifie "A SUIVRE", le symbole V signifie "FIN". Mapa. platea, charts, etc., may be filmed at different reduction ratioa. Thoaa too large to be entirely included in one expoaure ara filmed beginning in the upper left hand comer, left to right and top to bottom, aa many framea aa required. The following diagrama illuatrata tha method: Laa cartaa. planchaa, tableaux, etc., peuvent Atre filmia A dee taux da rMuction diffirents. Lorsqua le document est trop grand pour dtre raproduit en un saul cliche, il est filmA i partir da I'angla sup^riaur gauche, de gauche d droite, et de haut en baa, it prenant le nombre d'Imagaff nicesaaira. Las diagrammes suivants illuatrent la mAthode. 1 2 3 1 2 3 4 5 6 •r %>i ''V ", ^ ♦Y]« *5''„:^^^^ 'M 3; * r- n MID EX« atM.'Bf^mt^ •>', ■> FOS v>*«.- SECasfl* ipLASSES Of Ti^E ■1 E©R(MB MOIB, v'*t . irj II i| i|L! i yi —i i 2 3 /. /• ^ EXERCISE 11. (Teach ( carrying:). a.) ?') (3.) (4.) (5.) (6.) (7.) 8.) (9.» (10.) 48 84 47 92 98 62 24 90 86 12 24 27 23 56 14 86 07 36 98 66 62 83 67 78 97 28 39 85 52 83 31 92 83 92 12 81 02 92 78 42 21 82 (12.) 64 (li) 60 (14.)' 72 65 (15.) 67 (16.) 56 (17) 73 48 31 (11.) (18.) (19.) (20.) 82 87 86 65 84 67 93 78 87 96 91 28 58 87 72 53 36 44 92 43 18 84 37 93 26 14 88 12 39 66 92 9v 65 05 98 71 94 00 81 87 76 07 46 20 78 59 74 40 08 (21.) (22.) (23.) (24) (25.) (26.) (27.) (28.) (29) (30.) 64 58 42 76 63 64 94 73 67 96 32 39 76 38 78 87 12 31 83 18 36 61 18 29 12 41 26 26 42 49 51 34 89 62 83 78 83 68 70 74 45 14 (32.) 59 37 73 58 73 48 56 45 gl> (33.) (34.) (35.) (31) (37.) (38.) (39.) (40.) 57 85 48 54 45 84 05 20 32 13 51 45 24 22 72 97 81 68 16 81 28 72 64 36 73 37 47 84 28 42 49 34 31 53 55 . 85 73 97 59 76 19 24 19 43 35 65 54 67 (48.) 29 (49.) 65 J>*J*> (42.)" (43) (44.) (45.) (46) (47.) (50*; 23 42 24 72 93 79 57 95 59 07 84 28 62 16 57 35 43 24 75 93' 45 64 86 88 78 67 76 67 48 27 72 87 98 49 94 89 58 95 15 89 63 67 (52.) 78 (sa) 19 (54.) 65 (55.) 58 68 62 42 (59.) 56 (51.) (56.) (57.) (58.) (60.) 83 59 68 25 49 93 56 97 48 87 26 65 89 67 28 29 68 51 39 99 85 87 98 89 69 85 84 38 54 94 97 71 95 92 82 47 97 64 75 67 78 96 76 76 57 17 67 44 60 27 w EXERCISE in. (1.) 86(> 488 419 587 252 (9.) 648 874 237 873 664 (17.) 793 357 678 894 565 (25.) ' 896 418 292 673 453 (33.) 987 591 318 692 3^6_ (41.) 783 826 985 597 278 (2.) 962 186 428 781 467 (10.) 985 497 839 983 56 5 as.) 423 284 645 872 663 (26.) 423 251 636 362 154 (34.) 982 518 379 654 4^ (42.) 585 657 489 695 264 (3.) 698 814 997 512 265^ (11.) 925 167 439 862 456 (19.) 265 681 847 973 664 (27.) "' 382 696 218 793 475 (35) 689 321 689 893 576 (43.) 482 396 543 766 687 (4.) 824 267 839 962 756 (12.) 876 947 368 984 466 (20.) 648 224 364 631 419 (28.) 668 289 341 572 256 (36.) 765 454 371 592 287 (44.) 758 139 862 489 158 (6.) 894 917 628 784 665 (13) 975 492 723 986 674 (21.) 796 118 849 974 ^45_ (29.) 287 692 839 481 _168 (37) 583 946 875 498 167 (45.) 489 297 618 195 264 ^6.) 796 836 285 892 573 (14.) 873 586 739 984 663 (22.) 346 128 664 831 713 (30.) 596 218 649 373 146 (33.) 685 897 471 768 439 (46.) 649 728 969 682 257 (7.) 687 398 659 873 646 (16.) 875 947 264 896 667 (23.) 376 638 829 462 237 (31.) 696 218 649 373 146 (39.) 642 875 237 868 549 (47.) 825 967 689 792 476 249 625 867 983 764 (16.) 373 767 839 957 76 1 (24.) 864 932 136 451 245 (32.) 367 653 814 471 259 (40.) 572 758 337 465 846 as.) 783 826 285 897 578 EXERCISE IV. 121 322 (4.) (6) (6.) (7.) (8) 222 333 145 455 261 452 212 111 131 131 211 221 412 121 321 422 412 112 321 101 123 (15.) 213 m (10.) (11.) (12.) (13.) (14) (16.) 123 412 666 421 211 147 282 272 234 223 123 113 322 421 203 115 f 423 (17.) 513 234 (18.) 210 132 223 210 512 401 (19.> (20.) (21.) (22.) (23.) (24) 137 528 122 402 150 344 712 lOG 521 210 331 356 423 211 143 260 211 241 444 101 114 321 (31.) 121 (25.) (28.) (27.) (28) (29.) (30.) (32.) 351 623 542 333 666 222 Ill 455 124 142 213 212 112 411 670 412 311 (33.) 104 131 131 210 123 118 120 (34.) (35.) (36) (37.) (38.) (39.) (40.) 325 213 431 240 231 344 344 245 253 221 123 142 243 211 333 341 410 412 221 301 623 432 112 (47.) 213 (41.) (42.) (43) (44.) (45.) (46.) (48.) k 333 444 777 788 212 654 456 432 * 555 102 100 101 123 121 121 221 101 my 231 (50.) ■ 111 (51.) 110 324 102 211 213 (52.) (53.) (54.) (55.) (56.) 421 341 180 221 334 402 211 342 217 127 211 444 411 171 444 211 210 (57.) 121 (58.) 408 (59.) 121 120 212 211 141 (60.) (61.) (62.) (63) (64.) 116 224 314 411 124 212 127 444 412 421 241 165 612 131 210 212 410 140 112 201 111 214 410 141 7 EXERCISE V. (1.) ()41 (2.) 724 (3.) 842 (4.) 921 (5) 641 (6.) 414 (7.) 646 (8.) 724 214 431 602 121 814 442 621 612 812 613 451 614 213 .741 601 641 (9,) 421 (10.) 632 (11.) 721 (12.) 812 (13.) 942 (14) 714 (15.) 612 (16.) 412 443 616 722 814 624 882 361 645 424 611 714 842 911 603 414 732 (17.) 721 (18.) 724 (I9.» 612 (20.) 941 (21.) 813 (22.) 411 (23.) 624 (24.) 402 345 641 733 114 722 320 712 P40 722 834 922 723 612 756 613 964 (25.) 922 (26.) 632 (27.) 841 (28) 924 (29.) 411 (30.) 222 (31.) 312 (32.) 624 833 542 224 131 577 932 423 731 721 413 912 521 310 824 741 812 (33.) 123 (34.) 221 (35.) 432 (36) 532 (37.) 621 (38.) 322 (39.) 723 (40.) 802 232 331 513 612 834 532 832 920 923 912 921 943 913 934 910 945 (41.) 145 (42.) 232 (43) 334 (44.) 402 (45.) 520 (46.) 620 (^7.) 704 (48.) 824 221 314 421 543 577 712 823 810 832 821 832 852 810 820 831 806 (49.) 114 (50.) 224 (51.) ?04 (52.) 413 (53.) 526 (54.) 612 (55.) 732 (56.) 624 262 331 471 632 601 732 722 141 711 703 724 721 760 733 744 702 (.57.) 142 (58.) 212 (59.) 344 (60.) 431 (61.) 512 (62.) 614 (63.) 611 <64.) 633 221 332 532 510 632 941 722 822 604 621 612 624 612 622 604 665 8 i I EXERCISE VI. ^W^' t (1.) 123 (2.) 234 (3.) 345 456 (5.) 667 (G.) 678 (7.) 789 (8) 890 458 333 222 444 146 823 154 456 631 865 986 732 641 281 451 634 (9.) 423 (10.) 234 (11.) 342 (12.) 597 (13.) 675 (14.) 756 (15.) 283 (16) 832 842 323 537 812 524 451 167 981 424 879 863 444 963 743 (22.) 777 813 (23) 888 923 (17.) 222 (18.) 333 (19.) 444 (20.) 555 (21.) am (24.) 999 876 870 678 768 867 v68 768 867 243 234 243 432 231 213 312 321 (25.) 454 (23.) 231 (27.) 324 (28.) 543 (29.) 434 (30.) 525 (31.) 622 (32.) 872 666 666 666 666 666 666 miy 666 545 755 824 774 643 597 45a 457 (33.) 421 (31.) 431 (35 ) 443 (33.) 451 (37) 465 (33.) 476 (39.; 487 (40) 498 838 888 833 883 888 888 888 888 227 236_ 245 254 243 242 221 210 (11.) 777 (42.) (13.) 555 (14) 876 (45.) 808 (43.) 178 (17.) 147 (48.) 255 888 777 m(j 678 696 399 238 388 999 888 999 796 696 466 370 579 (t9.) 816 (50.) 186 (51.) 618 (52.^ 618 (53.) 438 (54.) 159 (55.) 753 (56.) 183 357 753 753 735 931 672 249 492 492 294 249 2D3 276 834 618 755 (57.) 501 357 (59.) 639 (GO.) 421 (61.) 278 (62.) 399 (03.) 4^3 (64.) 987 327 762 639 422 430 857 456 789 8^6 894 639 423 609 159 789 m EXERCISE VII. (1.) 523 846 924 478 (9.) 424 571 123 234 (17.) 555 128 890 478 (25.) 888 987 546 246 (33.) Ill 798 456 567 (41.) 444 987 245 764 (49,) 814 173 (2.) 279 325 482 794 (10.) 425 582 456 842 (18.) 555 234 789 632 (26.) 888 876 654 843 (34.) Ill 987 564 675 (42.) 444 789 452 647 (50.) 148 137 (3.) 823 713 267 605 (11.) 426 523 739 243 (19.1 55ff 345 678 647 (27.) 888 765 564 721 (35) 111 879 654 756 (43.) 444 879 542 746 (51.) 481 713 (4.) 734 732 987 642 (12.) 427 483 987 567 (20.) 666 456 567 326 (28.) 999 654 645 804 (36.) 222 789 323 576 (44.) 464 798 623 467 (52.> 841 731 984 894 849 948 (5.) 123 466 789 987 (6.) 323 648 429 874 (13) 428 768 654 675 (21.) 666 567 456 268 (29.) 999 543 456 763 (37.) 222 897 233 765 (46.) 474 978 236 215 (53.) 184 6fi4 (14.) 429 737 321 576 (22.) 666 678 345 476 (30.) 999 432 465 542 (38.) 222 678 322 657 (46.) 484 897 623 152 (54.) 418 (7.) 972 523 246 497 (16.) 480 888 218 765 (23.) 777 789 234 236 (31.) 999 321 663 167 (39.) 333 786 489 473 (47.) 494 887 845 512 (55.) 317 ARa (8.) 328 371 763 506 (16.) 431 245 456 906 (24.) 777 890 128 874 (32.) 992 219 660 836 (40.) 333 867 894 734 (4a) 404 997 468 126 (56.) 371 498 719 691 971 179 917 719 278 782 827 872 287 lO EXERCISE VIII. (1.) (2.) (3.) (4.) (5) (6.) •(7.) (8 ) 123 234 345 456 567 678 789 1*^ r 890 673 637 736 763 367 376 425 4-2 359 395 539 593 935 953 760 607 491 419 914 941 149 194 555 666 764 647 476 832 328 238 456 564 (9,) (10.). 707 (11.) (12.) (13.) (14) (15.) (16.) 808 909 306 205 404 30;J 101 191 181 171 161 151 141 131 121 712 713 714 715 716 717 178 888 999 999 999 999 999 999 999 999 475 764 574 629 296 628 413 314 (IT.) (18.) (19.i (20.) (21.) *(22.) (23) (24.) 391 989 986 728 489 784 149 648 546 376 456 234 897 487 941 459 788 899 732 487 604 748 419 888 738 763 845 325 532 642 837 999 684 839 678 674 786 426 378 777 ^•i (26.) (27.) (28) (29.) (30.) (31.) (32.) 737 426 267 684 262 593 824 298 868 815 884 218 157 328 931 804 877 733 192 642 336 864 268 79(3 315 862 395 .395 727 515 605 899 429 914 428 186 148 283 298 595 (33.) (34.) m.) (36) (37.) (38.) (39.) (10) 469 476 888 777 666 746 679 814 736 738 54(3 763 476 151 685 352 584 479 387 547 875 906 428 432 738 868 985 293 987 341 956 769 796 723 (42.) 840 (43) 738 (44.) 863 (45.) 848 149^ 576 (41.) (46.) (47.) /48.) 879 878 678 456 629 673 985 368 846 678 234 276 796 675 957 .'?77 638 247 763 876 756 369 697 496 206 629 462 742 743 334 467 987 441 ooa AOf\ 774 P* Af\ J-^ A iJ*J\J 'JtOV 749 U4i 297 306 I! (1.) 9(55 29 4 725 11 295 (9,) 94 784 12 456 78 999 19 91 V9 911 9 191 (25.) 376 6 49 17 836 724 (33.) 847 975 1:^3 45 673 (2.) 234 54 18 824 9 277 00.) 91 991 29 8 277 645 (18.) 7 17 71 117 711 867 (26.) 65 439 17 963 2 59 (34.) 47 873 842 9 765 EXERCISE IX. (3.) 576 16 2 936 24 564 (11.) 2 24 242 62 5 789 (19.) 507 570 765 15 51 9 (27.) 249 18 507 4 83 7 (35.) 7 241 567 91 723 (4.) 834 485 94 777 16 821 (12.) 825 28 6 72 849 674 (20.) 191 19 476 476 489 476 (28) 2 607 49 825 15 5 (36) 8 7 9 4 5 (5) 525 9 16 832 15 976 (13.) 4 5 6 9 78 8/3 (21.) 707 70 879 879 19 847 (29.) 18 971 19 6 3 4^ (37.) 8 80 70 77 T7 (6.) 784 802 2 19 92 555 (U) 872 764 231 84 5 9 (22.) 284 48 276 112 9 793 (30.) 872 56 3 4 9 17 (38.) 5 50 51 15 •7AQ (7.) 967 5 5 28 54 423 (16.) 1 84 2 90 872 648 (23.) 41 14 404 673 91 9 (31.) 849 764 25 52 6a 791 (39.) 826 268 es 8 on <8J 489 93 6 3 8 869 (16.) 17 71 304 317 371 731 (24.) 249 49 487 9 10 876 (32.) 4 2 9 804 2 5 uv (40.) 729 8 9 7 ^^ 888 999 674 338 847 153 543 li 12 • . EXERCISE X. (1.) 5684 (2.) 1234 2345 (4.) 3456 (5.) 4567 (6.) 5678 (7.) 6780 2043 8448 5237 4959 4262 6157 3951 1929 6427 4795 8136 9102 2992 6427 ^^^^^^^^^B 8415 7698 5365 3706 8529 5767 3868 2989 9998 4787 7886 5976 4836 6576 1 7286 6949 3996 6933 5799 6397 4798 ^^Hi^^ (8) 5863 (9.) 2987 (10.) 3875 (11.) 5476 (12.) 9969 (13) 4763 (14.) 8547 6298 8546 6985 5763 5738 5868 7588 4736 7387 4849 8476 2479 4723 468« 5796 6738 2584 8936 9876 3869 8476 ^^^^V''> 5621 3584 7385 2374 21«5 2136 3468 ^^^Vi' 5824 5814 4092 3224 2806 4187 2109 ^^^^Ki (15.) 6294 (16) 6295 (17.) 9863 (18.) 5385 (19.) 2987 (20.) 5876 (21.) 365i) 5386 3629 4769 5869 3629 3890 7654 5876 3872 5698 5684 2473 5608 7396 2854 8476 3529 3896 2579 4847 6392 4736 6285 2379 7.054 5847 6303 3876 7654 8476 6369 6385 8496 5826 6573 (22.) 7685 (23) 8847 (24.) 6886 (25.) 7386 (23.) 4768 (27.) 8588 (28.) 7688 8584 6378 5476 8888 7634 4765 7685 4567 5763 7684 7801 3456 4576 7688 7878 6767 4567 8978 4358 6732 1234 9876 4567 2453 2013 804-J b632 9459 6738 (29.) 4066 7654 45(58 3247 4567 1881 2456 (30.) 4472 (31.) 4215 (32.) 4346 (33.) 4356 (34.) 4445 (35) 4455 4485 4492 4497 8756 9834 8349 4983 8T65 7658 6587 5876 6587 5785 7893 4788 7879 9847 5826 4897 2856 3765 ^^S yyvo i:\r\tm f% i55 / oooo uoao c%rtr\r* M 3698 8976 9984 3786 8934 9358 5789 *■' *;' 13 EXERCISE (1.) 1066 1455 1603 1697 1720 1868 1846 (2.) 1172 1485 1642 1702 1746 1812 1854 (3.) 1215 1492 1649 1704 1757 1813 1866 a.) 1314 1497 1660 1706 1759 1814 1860 XL - (5.) 1346 1517 1679 1708 1776 1815 1866 (6.) 1356 1587 1685 1709 1783 1821 1867 (7.) 1415 1588 1690 1713 1806 1832 1881 (8) 6948 5738 5768 3857 3796 1234 5239 6418 (9.) 2676 6873 4768 1897 5873 6874 8475 8578 (10.) 3847 2986 3849 6295 2984 3699 3258 7364 (11.) 5694 5469 5768 3875 5769 8576 1893 5843 (12.) 3847 8576 4739 2469 3857 2584 2987 7289 (13.) 2264 6847 8576 8376 2466 7369 2104 5467 3876 3869 8476 2958 9899 8476 6359 6384 (15.) 2589 9012 5437 4734 4673 4929 2985 (16) 5656 3456 9637 8982 5734 2573 9862 (17.) 8483 7894 2689 2898 3454 3994 8629 (18.) 8876 6872 1847 9824 7849 5784 2958 (19.) 2849 2696 4763 8942 2432 4573 9682 (20.) 4763 7732 9875 7648 6466 2984 2598 (21.) 1849 6874 3856 6487 1294 6678 4293 (22.) 6973 8465 3896 7654 3333 2148 no A 1 (23.) 9736 4865 2579 8888 2222 4832 (24.) 7369 8564 3847 9999 1111 4621 2189 (25.) 3666 6845 6392 7777 3014 4162 6784 (26.) 9763 6864 4736 6666 8476 3752 7628 (27.) 3976 5468 6285 5665 6782 8476 2466 (28.) 6379 4586 2379 4^44 2763 9652 2189 ■ 14 s H EXERCISE XII. \ > ^H a.) (2.) (3.) (4.) (5) i6.) (7) • ^^B 1234 5678 9347 7642 4765 9876 5678 i; ^^B 5678 9876 8567 6427 7651 8765 9999 1 ^H 9098 5432 5918 4276 6547 6543 2585 i ^^H 3210 5186 5897 7246 1234 5432 6757 1 ^^■i 9876 9765 6324 5467 2345 4321 4563 1 ^^n 5432 5487 8529 4672 3436 3210 8473 [i ^M 3456 9324 9897 6724 4567 2109 1881 ► (8.) (9,) (10.) (11.) (12.) (13.) (U) ^^K 4455 5566 6677 7788 8879 9933 3322 ^^R 4559 5665 1852 1873 7873 9263 1234 i ^^H 5594 6655 2963 1739 9339 8174 5678 • \ I^B 5954 6556 3074 2841 8240 7085 9616 1 ^H 9545 1234 4185 3952 7151 6296 8727 ^^^^^^^■\fg 4676 2345 5296 4063 6062 5307 7838 6478 3456 6307 5174 5173 4418 6949 ^H 8746 4567 7418 6285 4284 (19.» 3529 (20.) 5050 (21.) II ^H (15.) (16.) 17.) (18.) ■ ^^B 9876 5432 1023 4567 8901 2345 6789 ' ■': ^HI 1234 5678 9012 34^6 7890 1234 5678 ^^B 8876 5432 1987 6543 2109 8765 4321 ^B 7654 3210 9876 5432 8754 3241 7892 HH 5432 2345 6789 9876 5432 2345 6787 ^^H 6789 4876 5442 3444 6677 8998 3456 ^^H 7884 6884 7921 1987 1042 1679 1685 ^B 3333 4444 5555 6666 7777 888K 9999 ^H (22.) (23.) (24.) (25.) (26.) (27.) (28 ) ^^H 8112 7 8888 2 6 4142 2847 ^^R 712 17 888 33 60 9 4563 ' ^^R 12 217 88 333 600 7 24 I^H 2 8471 8 3333 6000 8746 9 ^Hj 21 987 7 4444 7777 7925 42 ^H 217 64 99 444 700 4 167 ^^D 7821 5 999 44 70 8 8491 ^^^■i 42R9 1234 QQQQ ± 7 001/J At\K.n MMM| T-' *r V -r^ ■X \JiiX.\3 H£ * Mf 15 EXERCISE XIII. Add together : (1) 489, 763, 600, 50, 7, 19, 8, 487, 87 (2) 800, 674, 85, 721, 8, 21. 6, 91, 605 (3 874, 829, 719, 19, 91, 9, 17, 84, 777 4) 18. 118, 181, 81, 8, 11, 6, 2t, 202 5) 9, 98, 89, 989,- 998, 19, 5, 294, 17 6) 338, 33, 3, 30, 300, 17, 2, 899, 71 7 888, 800, 80, 8, 4, 444, 87, 654, 27 ^8) 77. 7, 777, 17, 71, 777. 13, 39, 849 (9) 999. 99, 900, 90, 9, 798, 7, 47, 674 (10) 764, 647, 829, 78, 87, 9, 1, 59, 809 (11) 7, 70, (), 60, 666, 777, 676, 874, 77 (12) 21, 12, 112, 221, 897, 807, 6, 801, 18 (13) 28, 82, 80 2, 828, 288, 828, 23, 303 . (14) 1, 12, 9, 21, 811, 118, 881, 29, 444 (15) 901, 109, 190. 74, 76, 8, 2, 81. 202 (16) 802, 803, 804, 4, 5, 15, 14, 997, 13 (17) 960, 900, 60. 666, 66, 9, 8, 291, 92 (18) 609, 610, 611, 11, 12 8. 7, 34, 309 19) 842, 9. 802, 10, 888, 29, 9, 39, 807 (20) 123. 321, 213, 14, 15, 5, 6, 678, 55 (21) 221, 232, 847, 9, 3, 18, 19, 825, 17 (22) 456, 564, 645, 45, 46, 5, 4, 87. 643 (23) 45, 450, 405, 540. 54, 4, 5, 345, 33 (24) 4, 40, 400, 44, 444, 444, 4, 211, 18 (25) 5, 6, 56, 566, 656, 59, 986, 15, 234 (26) 18, 19, 8, 9, 984, 489, 849, 117, 71 (27) 28, 2, 9, 87, 647, 746, 476, 43, 766 (28) 1, 2, 13, 14, 315 316, 317, 52, 792 (29) 47, 84, 500. 404, 5, 2, 899, 270, 82 (30) 24, 42, 4, 7, 287, 888, 764, 111, 84 (31) 8, 999, 909, 900, 2, 99, 90, 932, 56 (32) 18, 81, 801, 766, 9, 2, 843, 821, 83 (33) 478, 821, 76, 27, 31, 9, 8, 77, 666 (34) 671, 178, 84, 48. 987, 8, 5, 674, 28 \^o) ^t, yu, oo, u, iii^ oOD, 444, tiyu, 19 (36) 505, 40, 300, 69, 734, 6, 8, 97, 678 i6 • EXERCISE XIV. f 64^5 (2.) 4265 (3.) 2564 (1.) 5624 (5) 2456 (6.) 4526 (7.) 6254 1 3127 1273 2173 3721 7123 7132 1372 9876 5432 1066 7241 8376 2504 7212 j 7621 5987 2345 6078 7921 5784 2167 1 1480 2468 1857 9876 5432 8764 2178 I 1 6328 9742 8541 2387 1552 8764 9874 2222 3333 4444 5555 6666 7777 8888 ' > 9999 1111 2222 3333 4444 5555 6666 1 4008 8004 4820 4208 7542 1234 5678 1 9870 4250 6802 7480 1243 9876 1120 6457 9011 5795 7987 3579 1357 9747 ^^K-'l (8) 9236 (9,) 7994 (10.) 4444 (11.) 5555 (12.) 6666 (13.) 7777 (U ) 8888 7145 8990 1874 2284 1681 8742 1274 J 5054 9^82 1867 1284 1846 8743 8672 4163 1970 1831 7612 1860 2847 2457 3272 8868 2476 3474 1746 9874 3840 1381 9757 9873 5784 9842 1843 4844 . 1 2490 2644 2454 9872 4756 1832 6784 4509 4531 7802 1425 3245 4567 1287 6618 7422 1024 1674 6781 8904 497(i 8727 8343 4765 8724 4972 5678 3245 7836 6258 4756 5805 4567 1847 6721 (21.) 3727 (15.) 9999 (16) 3333 (17.) 2222 (18.) 1111 (19.) 9787 (20.) 6747 1578 1234 6006 7809 8070 2028 2907 c 2987 5678 9811 6118 4589 7654 1024 3123 9012 8722 7429 1284 7324 9810 j ' 4456 34f»6 7533 5673 7854 1487 6432 5789 7890 6448 2874 6185 6983 7892 6023 1234 5659 1754 7296 6123 1902 7456 5678 4767 2832 8307 6456 9092 •8789 9012 3876 3910 2418 6789 8789 9077 3456 .f>985 4898 4.529 5078 7876 7345 7890 i794 5776 9630 4987 6542 L i 17 EXERCISE XV. */« a.) 45678 12346 23466 99999 47624 86325 X9876 84215 £6140 71324 26182 <8) 99781 82622 73513 64304 63275 42926 34847 22468 15639 24621 33212 82014 12346 32160 66543 66453 88899 666U 42424 3 631 45674 67>^90 (2.) 60789 2l^4f6 34^67 88888 76244 63258 98761 21478 96743 21896 447115 28274 94321 27645 34*18 29047 45121 36641 25614 26649 43261 219-'4 (16) 32146 67890 66643 18968 90639 99966 90068 24242 63163 66420 67896 (3.) 67K0 34567 4r678 77777 62447 32f 85 87619 74215 26314 7C246 ^6981 (10.) 2C5C7 44433 55544 66633 77744 88822 99911 12375 78424 87654 29875 (17.) 25643 12346 21656 64329 69762 25493 26799 42424 36316 99999 78967 78<^46 45678 66680 €6666 24476 25863 76188 16443 96741 84127 20164 (11.) 61245 22244 11133 96642 76646 S2hl6 8J702 45673 24880 99887 66564 (18.) 65464 67890 66431 96564 12346 89676 43686 24242 61316 99999 8«078 894f6 567^9 67890 65565 44762 58632 61987 43214 50672 14346 27064 (6.) 95678 67890 78912 44444 74426 82536 98671 19041 76358 49126 77421 a.) 64()78 78946 89123 33333 76442 53528 67981 46182 21346 70918 47362 (12.) 80247 30884 27964 24641 61543 26620 30645 28496 16452 65645 62366 (13.) 61246 66640 56664 49661 24666 63132 64313 97842 56565 26632 21663 (M) 80127 21094 26774 19684 41644 25023 24136 16663 66645 16631 65424 (19.) 65214 90656 16566 26456 23456 73212 65907 42424 13663 65321 96789 (20.) 54640 64321 43216 18564 34567 69024 98765 24242 61S61 58907 67896 (21.) 66660 65646 87645 21657 45895 21676 43243 34276 69182 76644 i8 (4) 7896 .. 8967 (5) 1234 .. 4567 (6) 2186 M 1867 (7) 78:)8 M 4875 (8) 6678 M 9347 (9) 7482 „ 3756 (10) 6721 „ 9213 EXERCISE XVI. (1) 9516 +8574 +3926 +8439 +8598+6789+ 8674+3429 (2) 7634 •• 8324 .. 8527 .. 7964 .. 5870 ,. 7034 „ 5784 .. 8009 (3) 5863 .. 7642 „ 7645 ,. 4567 .. 9978 .i 2468 ., 1357 •• 9048 — 9678 „ ^789 „ 7390 „ 3(597 „ 7935 „ 7689 5678 M 6780 „ 7H90 ., 2222 ,1 6666 m 7664 7018 M 2856 H 2534 „ 3178 „ 8i76 .. 5843 8528 ,. 7643 „ 8729 „ 7674 ., 9321 ,. 8541 5679 M 234> „ 4136 „ 8214 „ 1020 „ 1184 6437 M 6t75 „ 5784 „ 5867 ., 8728 „ 8764 2137 .. 7192 M 8475 „ 3l9a „ 8736 „ 6543 (11) 84+896+2456+17^ 71+57876+45678+94+245 (12) 987+87+7+87+66+28496+78456+50067+849 (13) 678+804+4+14+144+2784+117+711+171+45678 (14) 84567+4567+567+67+7+78+788+78^8 f 45678 f9 (15) 6+56+456+3456+23456+45798+5798+798 + 739 (16) 24+244+8764+78456+3 1-24+378+45678+42678 (17) 45678+78456+87941+84764+79299+78447+248 (18) 47+28+98+76+67+54+39+84+19+91+72+82-1-7 (19) 678767o7+45678436+47849123+84764397 + 4678 (20) 247+834+798+563+123+897+764+532+879+845) (21) 987+879+798+654+546+465+654+321+213+123 (22) 9426+7211+3476+2468+2789+1234+1478+7849 (23) 9763 m3178 ,,2456 ,,1893 „ 5256 ,,2456 ,,7853 „ 2131 (24) 98+24+56+78+21+19+«4+T8+26+99+34+87+7 (25) 82 „ 91 .. 65 „ 44 „ 33 u 77 „ 88 „ 99 „ 79 „ 84 „ 11 „ 90 „ 9 (26) 845+678+792+297+456+843+789+764+532+784 (27) 321 „ 456 „ 789 „ 987 „ 765 „ 573 „ 372 „ 123 „ 345 „ 456 (28) 987645678432+9897969 5^493+ 8 18283848587 4- 7824 (29) 987425678439 ,.686788759738 ..678484769784 + 1234 (30) 4236+2664+1234+8888+7777+6666+5555+4444 (31) 8978 4+9789+798+9 1+9+90+909+842+234356 (32) 99+999+9999+99999+999099+9999999+99999999 «9 i EXERCISE XVII. (2.) (8.) (4.) (5.) (6.) <7.) (B.) (9.) (10.) 99 8H 66 66 12 47 99 49 21 65 88 88 66 78 34 19 99 48 22 77 77 88 66 90 53 18 99 59 23 22 66 88 66 54 98 90 99 89 24 44 65 88 66 65 90 82 99 90 25 35 44 88 66 83 98 34 99 98 26 64 33 88 66 96 89 56 99 32 27 72 22 88 66 42 54 98 99 63 28 27 11 88 66 59 S2 C5 99 83 29 51 98 88 66 89 10 32 99 91 20 15 86 77 66 12 87 92 99 17 74 26 54 77 55 72 64 15 69 84 76 78 32 77 55 34 46 64 99 27 78 21 19 77 55 45 78 43 99 86 78 30 87 77 52 67 79 33 99 74 50 12 65 77 55 84 84 82 99 28 Z2 80 43 77 55 78 17 45 99 48 54 79 ill.) 02.) (13.) \ii.) (15.) (16.) (17.) (18.) (19) (20.) 84 94 33 71 17 98 76 54 32 19 22 27 44 52 17 87 55 43 21 90 64 34 55 83 17 65 43 20 19 87 22 29 57 74 28 54 32 10 67 87 76 45 44 45 28 98 37 84 54 35 22 36 56 36 28 13 84 76 27 43 C4 25 68 47 36 24 56 88 *7H 4 4 32 33 4S 71 38 36 88 33 22 84 71 96 21 89 79 36 12 34 56 78 72 33 54 97 50 45 98 76 64 32 97 68 74 14 23 45 19 20 57 12 34 31 21 53 61 45 28 12 40 56 78 56 30 78 19 59 37 24 22 90 98 44 26 30 23 59 46 34 97 76 64 89 74 47 81 59 55 44 28 32 10 44 51 56 91 63 64 69 49 98 76 67 89 83 12 63 73 79 73 54 43 44 84 41 19 64 82 »» 64 9.d. fiO 75 97 27 74 72 91 78 19 67 52 20 EXKRCISF : XVII I. a.) (2.) (3.) (4) (5.) (6.) (7.) iS.) 654 943 216 222 66() 777 214 107 321 212 472 999 666 777 821 710 804 764 145 777 666 777 502 107 408 534 «07 555 66() 777 706 276 987 4L8 142 555 666 777 6()0 487 654 290 684 444 666 555 123 673 321 474 374 333 666 555 784 171 456 512 126 297 666 555 132 874 564 136 510 792 666 555 762 672 645 841 424 888 999 444 707 267 888 257 948 888 999 414 202 843 777 144 184 888 999 444 470 481 987 428 123 888 999 444 872 871 789 121 976 888 999 444 202 178 879 945 417 888 999 333 120 976 764 421 274 888 999 333 101 453 234 387 186 888 999 333 847 421 187 902 974 888 999 982 623 076 718 764 526 888 (12.) 999 (13.) 289 (U.) 804 304 (9.) (10.) (11.) (15.) (1C») 199 924 876 602 405 450 540 320 488 123 456 789 •987 654 321 607 777 987 654 321 780 203 809 791 969 207 840 763 287 976 481 763 2o8 270 804 736 278 967 418 736 547 423 432 243 235 187 781 718 837 222 333 444 555 666 777 888 129 999 204 305 406 507 808 909 118 180 270 680 220 210 220 238 426 637 637 736 673 245 542 520 737 812 218 821 182 271 172 214 945 674 362 143 872 184 892 632 355 432 234 432 786 271 802 801 569 707 706 760 340 820 207 867 876 220 607 110 ?^2 708 540 203 183 202 670 lOi 320 780 504 230 490 411 631 742 671 283 762 672 i «ll t M 21 EXERCISE XIX. (1.) (2.) (3.) i4) (ft.) 0.) (7.) 4107 2378 4106 3721 1487 6732 7814 1063 2874 4184 0324 8413 4025 2174 1083 7664 4761 7138 6714 4038 7519 4878 3647 2082 1725 4163 0124 4137 6426 1813 7409 8378 2094 6187 7436 5284 2041 3872 4103 6027 4908 6006 2041 6387 2410 3080 3714 2843 7842 4] 36 8749 0008 2813 6740 3724 1085 60?8 6374 2028 4138 6721 4378 3416 8907 7041 7206 1084 2874 7063 2807 7105 7324 0084 4008 4174 4073 8047 4667 8901 2345 0789 9876 6432 1874 9912 3456 7890 9987 6484 6078 9€80 8888 9999 7777 0006 6555 4444 3333 1838 1881 1066 0404 5353 4242 7171 2927 9612 1881 2222 2222 2222 2222 3710 8434 1470 1470 7414 7346 1234 8005 7360 2689 2589 6325 8207 5678 («.) (9.) (10.) (11.) (12.) (13.) (14.) 0110 8736 1204 6207 2848 8401 9714 5995 2157 7509 0421 1936 8374 3097 4884 7570 5706 4005 0388 6194 7240 3773 8721 1204 6072 2118 1124 9241 2002 1879 6724 8491 2507 7284 4124 1561 0999 4466 3211 1232 2184 1231 2442 3144 2964 7058 9822 2875 4836 3333 8375 9884 3244 7707 9886 2375 4224 1247 2471 4721 4334 2332 2114 6115 4457 0078 7789 8890 2210 3345 0006 1921 9211 4230 3420 7182 8124 7784 3333 3444 4446 6224 5226 7812 8123 7755 5543 8421 9870 8476 4976 945(> 9219 9402 4324 4342 1212 2142 6789 7621 4121 7213 8129 9124 V214 0012 0178 2134 4507 8901 2345 6789 7345 2111 3111 4111 f{(V\ri^ «nn7 C/tflO •^ «..«...& ^j" vr V ^-T \j\/\r f \J\JW 22. ■ ■i' m (1.) 2 1 (11.) 8 3 (21.) 6 2 (31.) 10 6 EXERCISE L (2.) 3 2 l3.) 7 1 (1.) 4 3 (5.) 8 5 (6.) 8 4 (12.) 8 5 (13.) 8 7 (14.) 9 4 (15.) 9 (16.) 9 7 (7.) 7 (17.) 9 2 (8) 9 6 (9.) 6 3 (10. > O 2 (18.) 7 3 (19.) 7 4 (20.) 7 6 (22.) 6 5 (23.) 6 6 (24.) 6 4 (25.) 8 1 (32.) 10 4 (33.) 10 2 (34.) 10 3 (35) 10 7 (28.) 9 4 (36) 10 8 (27.) 7 1 (37.) 10 9 (28.) 5 _^4 (38.) 10 1 <29.) 8 6 (30.) 4 2 (39.) 10 » (10.) 10 3 11 (42.) 11 (43.) 11 (44.) 11 (45.) 11 (46.) 11 (47.) 11 (48.) 11 (49.) (50.) 12 12 2 4 6 8 3 7 9 8 6 (51.) 12 (52.) 12 (53.) 12 (54.^ 12 (55.) 12 (56.) 12 (57.) 12 ('8.) 13 (59.) (6f>.) 13 13 4 3 5 7 6 9 8 4 8 6 (6i.) 13 (62.) 13 (63.) 13 (64.) 14 (65.) 14 (66.) 14 (67.) 24 (68.) 14 (690(70.) 15 15 9 6 < 5 7 6 9 8 9 6 &•> (72.) 15 (73.) 16 (74-) IG (75-) 16 (76.) 17 (77.) 17 (78.) (79) (80.) 18 14 19 8 7 8 7 9 9 8 9 10 10 (81.) 45 22 (82.) 67 22 (83.) 89 22 (84.) 34 22 (85.) (86.) (S7.) (88.) (89.) (90.) 76 48 88 54 57 53 22 22 22 22 22 22 (91.) 93 (92.) 84 QO (93.) 75 00 (94) 68 OQ (95) (96.) (97.) (98.) (99) (100) 57 48 39 59 95 67 00 00 00 00 00 on 00 no 00 23 exp:rcise II. (1.) .567 444 (2.) 658 444 (3.) 678 443 (4.) 789 434 (5.) 654 442 J6.) 747 441 (14) 431 212 (7.) 856 440 (15.) 773 423 (8.) 794 324 (9.) 987 42J (10.) 876 723 (11.) 765 423 (12.) 654 232 (13.) 543 231 (16.) 897 576 (17.) 689 123 (18.) 768 323 (19.) 846 444 (2».) 468 14d (21.) 765 232 (22.) 768 312 (23.) 684 223 (24.) 874 321 (25.) 624 313 (26.) 657 425 (27.) 756 522 (28) 839 617 (29.) 983 442 (30.) 817 805 (31.) 535 222 (32.) 748 333 (33.) .778 125 (34.) 889 545 (42.) 777 432 (35.) 665 432 (36.) 558 214 (37.) 447 215 (38.) 339 116 (39.) 228 103 (40.) 999 268 41.) (43.) 899 234 (44.) 988 456 (45.) 785 645 (46.) 694 463 (47.) 748 512 (48.) 884 713 (49.) 697 302 (50.) 769 135 (58) 297 154 (51.) 967 322 (52.) 527 215 (53.) 618 107 (54.) 928 514 (55.) 647 333 (66.) 578 255 (67.) 692 271 (59.) 926 311 (60.) 936 425 (61.) 639 427 (62.) 369 123 (70.) 795 773 (63.) 757 132 (71) 957 324 (64.) 773 312 (65.) 276 242 (66.) 726 323 (67.) 627 125 (68.) 267 295 (69) 597 491 (72.) 679 232 (73.) 1049 5iJO (74.) 1168 (75.) 1297 473 (76.) 1359 frorr (77.) 1483 Q01 (78) 1565 723 (79.) 1676 QtA (80.) 1777 (1.) 724 618^ (9) 457 348 (17.) 724 662 (25) 627 472 (33.) 521 345 (41) 922 433 (49) 786 499 (57) 444 296^ (65) 304 196_ (73) 567 222 547 439 (10) 832 416 (18) 732 241 (26.) 845 482 (34.) 632 478 (42.) 822 444 (60.) 455 _268^ (68) 565 389 (66) 607 J78_ (74) 876 438 24 P:XERCISE III. Teach * * Borrowing . ' ' (3) (4) (5) (6) 234 116 (11.) 786 259 (19) Sl7 542 (27) 976 492 (35) 723 439 (43) 722 _665 (51) 782 197 (59) 666 277 (67) 808 326 (75) 768 297 873 365 (12) 455 326 (20) 634 453 (28) 528 _363^ (36) 842 255 (44) 622 266 (52) 623 298 (60) 777 488^ (68) 702 489 (76) 678 382 672 253 (21) 758 285 (29) 438 373 (37) 824 466 (45) 622 _477 (53) 456 287 (61) 748 329 (69) 670 298 415 108 (13) 367 138 (14) 283 179 (77) 605 414 (22.) 929 283 (30) 829 565 (38) 916 577 (46.) 422 388 (64) 374 196 (62) 639 362 (70) 840 256^ (78) 376 193 (7) 873 526 (8) 542 236 (15) (16.) 764 467 328 238 (23) (24) 848 736 593 463 (31) 917 444 (32) 745 654 (39) (40) 661 488 947 699 (47) (48) 322 222 m 147 (55) (66.) 426 723 _298 285 (63) ((54) 784 668 193 28 4 (71) (72) 320 201 177 183 (79.) 842 485 (80) 701 426 9 1 i 7 25 EXERCISE IV. (1-) 6478 2222 (2.) 5729 2222 (3.) 3B72 22'^2 (4.) 5415 2222 (5.) 6784 2222 (6.) 7624 2222 (7.) 7819 2222 (8) 8976 2222 (9.) 8021 3333 (10.) 7345 3333 (U.) 8713 3333 (12.) 4924 3333 (13.) 7181 3333 (14.) 6502 3333 (15.) 4506 3333 (16.) 7918 3333 (17.) 7698 4444 (18.) 4651 4444 (19.> 4847 4444 (20.) 4564 4444 (21.) 8478 4444 (22.) 9876 4444 (23) 5421 4444 (24.) 8462 4444 (25.) 6789 5555 (215.) 6542 5555 (27.) 8721 5555 (28.) 7623 5555 (29.) 6104 5555 (30.) 7089 5555 (31.) 81U2 5555 (32.) 9123 5555 (33.) 0111 6666 (34.) 8222 6666 (35 ) 7333 6666 (36) 9444 6666 (44.) 9214 7777 (37.) 8555 6666 (38.) 7242 6666 (39.) 9524 6666 (40.) 8103 6666 (41.) 8555 7777 (42.) 9o66 7777 (43) 8610 7777 (45.) 8181 7777 (46.) 9782 7777 (47.) 8142 7777 (48.) 9124 7777 (49.) 9123 8888 (50.) 9456 8888 (51) 9789 8888 (52.). 9654 8888 (53.) 9321 8888 (61.) 2041 1999 (69.) 9476 8234 (54.> 9456 8888 (63.) 5078 2999 (70.) 4021 4009 (78.) 6842 2989 (55.) 9765 8888 (63.) 9012 6999 (71.) 8990 9899 (79) 9008 2825 (56.) 9432 8888 <57.) 7845 1999 (65.) 4750 2899 (58.) 6784 2999 (66.) 2768 1999 (59.) 4024 1999 (67.) 3241 2888 (60.) 8476 4C99 (68.) 3078 1796 (64.) 8476 7999 (72.) 8912 7642 (73-) 6504 4897 (74.) 6704 5294 (75.) 7002 2193 (76.) 8970 4215 (77-) 1897 1799 (80.) 7681 3249 h (1.) 60123 13846 70324 46429 80701 6^072 (22.) 78964 JI398^ (29.) 70123 20124 (36.) 92345 37890 (43.) 94o67 74568 (50) 78964 42896 (2.) 67123 23456 (9,) 801189 63876 (16) 86230 34871 26 EXERCISE V. ^^•^ (4.) (6) /«» IS ? i» * A A (10.) 76812 29874 (17.) 89702 42673 (23 ) (24 ) 70613 78201 29784 36989 41234 22326 (37.) 83469 45678 (44.) i^7245 46392 (51.) 83026 36789 (31.) 61234 32477 (38,) 94567 27634 (45.) 73201 36842 (52.) 87643 24674 (11.) 91324 28976 (18.) 60123 29072 (25.) 62464 ^669 (32) 91234 32387 (39.) 85678 25679 (46.) 64072 31245 (53.) 61892 12567 (57.) 24689 12693 (64.) 76543 26612 (58.) 83025 24898 (65.) 67543 34569 (12.) (13.) (14 ) 67182 45554 987C2 A^_J7821_S3H97 „(19.) (20.) (21 » 84102 83003 87002 il??l__39872_ 61994 (26.) (27.) /2« » 69002 49123 5t0^4 J§103_ 24129 M035 & A a ^133 21236 46789 (40.) (41 \ ..„ . 96789 81234 7& i672?^_2456^j2352 712^0 A & .51789 21346 34789 487-^5 4!r1^6 9^012 2Sm_12m 72913 (59.) 87643 ^6789^ (66.) 56743 28943 (60.) 51892 ^1201 (67.) 45673 12684 (61.) (62.) 40003 26008 67206 2000£ 12463 32198 (^') (69 ) /7n i 36654 59043 46365 22983 K9S0J 4"?°? 703124 123456 (7.) 543201 216472 (13) 756430 271839 (19.> 827689 719832 (25.) ^77846 §74858 (31.) 417078 207147 (37.) 487692 436184 (*3) 541786 274638 (2.) 972015 123456 (S) 230456 124066 (U.) 870541 427890 (20.) 745679 657484 (2^.) 377324 328835 (33.) 425002 326897 (38.) 874567 368742 (44.) 794845 276498 (49.) 807426 328749 (55.) d98746 267843 (50.) 874021 258764 (56.) 473218 472929 27 EXERCISE VI. (^> a.) a \ 812346 700056 601020 ^23457 423457 311021 (0.> 545067 246324 ^6.) 421801 222222 (15.) 926745 345078 (10.) 4'>5607 262143 (16.) 500123 200134 (21.) 387454 239186 (27.) 477 J 23 177924 (33.) 760145 256489 (22.) 289104 J47387 (28.) 577608 577602 (34.) 800249 346718 (39.) 874102 389456 (40.) 567843 274937 (45.) 976432 349876 (46.) 567894 387627 (51.) 970456 349874 (52.^ 901234 124319 (57.) 367846 367789 (58.) 721345 245632 (11.) 600789 434568 ^ (12.) 710204 245678 (17.) 520034 134247 (18.) 600046 300046 (23 ) (24 ) 598324 567894 134899 289765 (29.) 677180 256789 (30.) 777456 346847 (35) 721456 234579 « (36) 801987 486789 (41.) 276845 148769 (42.) 813045 148769 (47.) 286781 128764 (53) 908742 245678 ^48.) 976432 965627 (54.) 655443 241879 (59.) 397846 192937 (60.) 724556 518937 (1) 85478643 (2) 574(53271 (3) 61890726 y4) 72568974 (5) 74360894 (6) 4723J21J. (7) 81010101- (8) 65626052 (9) 72438172- (10) 23456728- (11) 98762432- (12) 90708030- (13) 72612335 (14) 61112046 (16) 72466178- (16) 84596724- (17) 34849764 (18) 56784321 (19) 64245187 (20) 66666666- (21) 78607834- (22) 87932146 - (23) 72346879- (24) 81908356- (25) 97654321- (26) 84265437- (27) 32410038- (28) 48701368- (29) 57987654- (30) 72890135- (31) 97648543- (32) 66040321- (33) 49876012- (34) 89706873- (35) 30120134- (36) 71845678- (37) 9C840012- (38) 72845678^ 28 EXERCISE VII -67498789 -38765846 -24567893 -53780189 -45876789 -32888974 -32145673 - 41348938 -67893244 -12345678 -83947645 -41122334 - 52233445 - 32456783 -82486732 -58324567 - 23238769 - 56749878 -44445555 -34567898 - 59689436 - 64287358 -38888888 -14876347 -74348675 -64289674 -40019436 -24683579 -32890793 - 72834387 -77641867 -55055555 -47986453 72456789 13875642 53286789 71849134 43962359 (39) 476873248 (40) 897058972 (41) 987654321- (42) 987 '54321- (43) 123456789- (44) 123456789- (46) 123498765- (46) 457924580- (47) 650066007- (48) 487654387- (49) 987618112- (50) 728764121- (51) 128987676 (52) 456789769- (53) 248911122- (54) 687645873- (56) 512100013- (56) 787689121- (57) 101010101- (58) 202020202- (59) 313234S53- (60) 424345467- (61) 635456575- (62) 646487432- (63) 789780021- (64) 876438754- (66) 123456789- (66) 834567892- (67) 987651111- (68) 111112222- (69) 222223333- (70) 741800004- (71) 645897659- (72) 768468457- (73) 487654311- (74) 100897654 (75) 700011871 (7fi\ «l2^ft7«7/i - 98765496 -45678689 —12345678 - 88888888 -77777777 -66666666 -65569897 -45879379 - 99999999 -81287643 - 87897864 -48976879 48678910 - 34739019 -98989898 -78976432 -23456783 -48765478 -78643247 -82976458 -72987664 -04876543 -8/876894 -74876849 -88887777 - 79897092 44444444 75897894 73489456 83333333 55556555 98976543 78965479 14876547 24987486 —38974609 70089766 29 EXERCISE (1) 74856+038745-98765 (39) (2) 56789 „ 48749 ,. 78345 (40) (3) 80147 .. 48749 „ 78345 (41) (4) 51014 M 89014 ,. 54983 (42) (5) 68974 „ 48710 „ 38456 (43) (G) 85476 ., 78491 „ 56878 (44) (7) 57983 M 45672 „ 48767 (45) (8) 84974 M 56734 „ 97308 (46) (9) 48765 ,. 87656 „ 45732 (47) (10) 67849 M 76771 .. 98989 (48) (11) 456789-23457+3245 (49) (12) 876487 .. 47893 ., 4673 (50) (13) 925387 .. 79543 .. 2487 (51) (14) 713476 M 60492 „ 4876 (52) (15) 724897 ,. 38763 ,, 7687 (53) (16) 878763 „ 58976 „ 1211 (24) (17) 973211 „ 89734 ., 1029 (55) (18) 535889 „ 28768 „ 8798 (56) (19) 798765 „ 99999 „ 4444 (57) (20) 647891 M 89413 „ 5678 (58) (21) 946874 „ 29871—1984 (59) (22) 876543 „ 24563 ,, 4567 (60) (23) 789765 „ 24455 u 5467 (61) (24) 897689 „ 98745 „ 4129 (62) (25) 784863 „ 57999 „ 8764 (63) (26) 876459 „ 32415 „ 1299 (64) (27) 897689 „ 78456 „ 4875 (65) (28) 873248 „ 34156 ,. 6687 m) (29) 548765 ,. 23875 „ 8765 (67) (30) 489711 .. 45987 n 8987 (68) (31) 785467+45678 n 9877 (69) (32) 597698 „ 84876 „ 3287 (70) (33) 587642-49876+1245 (71) (34) 732114 „ 81241 ,. 4879 (72) (35) 689754+32124-7611 (73) (36> 393754 „ 89124 „ 8976 (74) (37) 124587- 40003+7321 (75) (38) 486751+89412—2108 (76) VII. 4567+3248+876-9768 1124 „ 3476 M 911 M 8718 3318 M 1768 „ 234 „ 9871 1187 .. 9876 „ 578 „ 7645 4378 M 5873 „ 478 ,. 9988 1247 -.5673— 2489+122 8712 M 8976 „ 8976 „ 893 9214 M 1124 „ 7689 „ 238 7612 M 8763 „ 9874 „ 876 1876 „ 7321 M 1876 ., 109 7624—3872+4873+ 679 5487 M 3983 n 2897 ,. 987 3425 „ 3413 ,. 2843 ,. 213 2176 „ 1149 „ 8973 u 203 7686 ,,4831,, 1204 m 214 8796+7289 -1234+897 6489 ,,9002 ,,8321— 248 5255 „ 9863 „ 2410 „ 204 6789 „ 4324 „ 4555 „ 884 3879 „ 5689 „ 5897 „ 211 7484 „ 1305 „ 4123 „ 103 7935 „ 4219 „ 5678 „ 438 5719 „ 8483 „ 6465 „ 321 7214 „ 1891 „ 3241 „ 238 5679— 1234.. 1033,, 243 7865 „ 4832 „ 1007 „ 108 9725 „ 3245 „ 2632 „ 345 7486 ,,2324 ,,1321 ,,312 8976 „ 3007 .. 2245 ., 909 9976 „ 2345 „ 3245 u 818 7687 ., 3211 „ 1084 „ 209 8973 „ 4215 „ 1121 „ 876 7787 .. 2124 „ 2003 „ 897 6874 „ 1987 .. 1881 „ 527 9008 „ 2324 „ 3303 „ 204 7199 ,,3224 ,,2112 ,,313 9097 „ 1897 M 2108 „ 211 w I 30 EXERCISE IX. (1) 3467-i-4589+1289-|-73944-98764-8034-f4876~07cS() (2) 5876+8763-f-7833-M894-f7832+7897-2876 -1234 (3) 9999-1-4832+8711-1 3876+7329-1897-1387-3425 (4> 97684+3487+3485+7002+1897-3253-2872—124 (5) 83214+9345+8321+7989-2245—897—1887—4863 (6) 68935+2118-7645+976-2453+1879-2843+7632 (7) 4863-1897+8462—1456+7834-2873+1898-1125 (8) 3456+7894-3456+7248-1467+3871-- 3415+8076 (9) 3987+5478—2496+8732-5678+5989-7684—3423 (10) 7493^5897+4384-3496+7842-1847+3874' -(3468 (11) 2345-2344+5897-5893+1R76-1872+1881— 1880 (12) 7893+3107—9999+7777—7768+2990—2999+1001 (13) 6420+4578-6748+8401—1048+2311—8721-2200 (14) 7642-8976+4732—1205+7879-2821+7897—1208 (15) 2334-5558+12] 8-3287+9897-1021+8978-2829 (16) 9786-1-7439—9787-2864—1483+8976+7328+8763 (17) 4283—2187—1111+3034-4580+1897+2288—2347 (18) 4897+2187-5989+ 2453-1987+2556-2249+1187 (19) 489760187847—489769187900+8953-8999+^99 (20) 24—99-84—07+8974-84976+56897+893+23456 (21) 9+8-12—18+17-71+804-207+8497+84987+678 (22) 208+764~873+762-2008+76489-245-_387+679 (23) 7892+8902— 7^72-2084+7389+201- 99-24+888 (24) 12345-987^+425-1324-27+803 -72-{-y2345678 (25) 897+999-4567-2408+7896+3475-2701- 84569 (26) 724564-9^-99—9999-^99999+7328—24514-75678 (57) 24875-78643+87241-4567-245+87643-45679 (28) 7424789— 7424780+91-100-f 244^4888+345678 (29) 2008+8+804 800+8000-78—703-8474-21+3676 (30) 3009-9987+7563-3487+4444+2324-8971+9998 (31) 2456+3245+3279-1245-7998+7245-6324+8472 (32) 2978-2648-4763-8970+9732+0123+8732 - 4638 (33) 9999-1111-1222-1004-1057-1009-1093-1213 (34) 7842+2156-2222+3333-1214-3222-1121+3212 (35) 6987+6013-1111+2222+3333+4444- 9099-6666 (36) 204-99+70-10-205+3000—100+578-312+5678 (37) 29+31-50-1-74-47-23-4+5+15-29-^25+25+85 /QQ\ ^Tfijer 4 rr* i -< . no^rk ooh»/» ^'^j^nv ^->/^k.<-w i ^m^ i ^_ M II Find the difference (1) 84765897 arjd (2) 74032457 .. (3) 97648456 „ (4) 12345678 (5) 98764321 (6) 88345678 „ (7) 24543784 „ (8) 54768421 i, (9) 24567843 ,i (10) 97428764 „ (11) 28497632 ,. (12) 10121342 M (13) 45324976 ,i (14) 98764248 ,i (15) 54789642 „ (16) 78994897 .. (17) 78764879 „ (18) 24897984 m (19) 38976487 .. (20) 74324876 .. (21) 48764278 m (22) 38743211 „ (23) 45673473 ,. (24) 23232323 „ (25) 4564564b „ (26) 80009942 .. (27) 24876421 n (28) 56784329 n (29) 74876321 ,i (30) 98764218 n (31) 24567899 ,. (32) 14151617 n (33) 32478978 ,. (34) 58764973 .. (35) 56789763 „ (36) 24876479 „ (37) 89742387 .- 31 EXERCISE beiween: Find 78976454 (38) 83245083 (39) 98345678 (40) 12345679 (41) 97654324 (42) 74324667 (43) 97632413 (44) 32480724 (45) 18970452 (46) 97645894 (47) 89764528 (48) 98764312 (49) 98764321 (50) 9'^287687 (51) 98764284 (52) 89764873 (53) 38498999 (54) 48765437 (55) 9^764899 (56) 69896989 (57) 52824211 (58) 41111999 (59) 82110100 (00) 32323282 (61) 56456445 (62) 91100029 (03) 24987243 (64) 56785329 ^65) 74763324 (66) 88970339 (67) 25678948 (68) 15161718 (69) 17648470 (70) 98764879 (71) 08734879 (72) 73240012 (73) 80752387 (74) X. the difference 82345078 and 78456784 ,i 98764874 ,, 98324567 i. 45678421 i, 24876499 m 12345678 „ 87948973 i, 58973042 „ 43287621 „ 18976475 „ 98764874 „ 78976453 „ 44848805 ,i 12345678 ,, 90000090 „ 24876874 „ 38704278 „ 76876879 „ 82178767 h 78768932 „ 43287642 „ 38978764 „ 48768704 „ 42873507 m 45873576 ,i 22398642 i, 80477753 ,i 91576820 „ 72005938 „ 03754088 M 84843S78 ,. 75932967 .. 46721846 „ 27612725 ^, 19523084 M 38434575 „ between : 92346879 78448937 98456843 99845328 45678589 24879984 12344567 48728974 58973049 43298728 19871897 19784769 78998976 44849905 98765432 90000099 38976421 13879429 98764870 28764873 78768987 43287622 38978763 48763988 56876421 54628998 22310389 80421476 91532«90 72643200 63754700 84865842 75976762 46787123 27698456 19588789 38476009 32 3>wd:XJJLiTIFIJIOA.TI01Sr. (1) 13423103 X 2 (2) 32101234 „ 2 (3) 42321421 „ 2 (4) 31423242 ., 2 (5) 70123432 M 2 (6) 14704696 (7) 92581470 It 2 2 (8) 87645679 „ 2 (9) 89467947 .r 2 (10) 78463219 ,, 2 (1) 32549786 x 5 C2) 78456734 ., 5 (3) 75684719 ,,5 (4) 87612145 „ 5 (5) 76897148 ,, 5 (6) 16195651 ,, 5 (7) 27244762 „ 5 (8) 38883874 „ 5 (9) 49772988 „ 5 (10) 50631097 M 5 (1) 68945876 x 8 (2) 87432147 .. 8 (3) 89007849 „ 8 76420018 M 8 89641234 „ 8 (6) 98764873 „ 9 (7) 76487934 „ 9 (8) 38748912 „ 9 (9) 567589m „ 9 (10) 46067834 „ 9 EXERCISE I. 11) 46378456 x 3 12) 83245678 ., 3 13) 97641248 ,. 3 14) 76421874 „ 3 15) 18741287 .. 3 16) 76543219 „ 3 17) 8764]234n3 18) 87415432 „ 3 19) 81978542 „ 3 20) 67845347 .. 3 EXERCISE 11. (11) 98328245 x G (12) 97328067 .. 6 (13) 86417189 „ 6 (14) 75417092 M 6 (15) 64246712 „ 6 (16) 53546034 „ 6 (17) 42674959 „ 6 (18) 31674078 „ 6 (19) 28791890 „ 6 (20) 18791012 „ 6 EXERCISE III. (11) 8425679 x 10 (12) 6897123,, 10 (13) 4567542 „ 10 (14) 6412345 „ 10 (15) 3456789 „ 10 (16) 7654351 „ 11 (17) 7654328,, 11 (18) 3487612 „ 11 (19) 7143211 „ 11 (20) 6141897 „ 11 (21) 84698745 x 4 (22) 87454278 „ 4 (23) 54871013 ,. 4 (24) 85673854 „ 4 (25) 678431^47 „ 4 (26) 60871456 „ 4 (27) 87652847 .. 4 (28) 54789187 .. 4 (29) 76998874 „ 4 (30) 87942897 .. 4 (21) 47897897 x 7 (22) 74687453., 7 (23) 78456784 „ 7 (24) 23456789 „ 7 (25) 87654221 „ 7 (26) 76543210 „ 7 (27) 65432109 „ 7 (28) 54321098 „ 7 (29) 43210987.,, 7 (30) 32109876 „ 7 (21) 8648794x12 (22) 7865123 „ 12 (23) 5012987 „ 12 (24) 6459172 „ 12 (25) 7684978 „ 12 (26) 7641897 „ 12 (27) 8917189,, 12 (28) 2876146 „ 12 (29) 8714187 „ 12 (30) 3481786 „ 12 ' J I (1) 36784532x15 (2) 97654078 n 15 (3) 83104373.-15 (4) 568797GI M 15 (5) 12837645 .. 15 ((>) 1)9704847 M 16 (7) 88899997 .. 16 (8) €6677778 „ 16 (9) 58673893 ..16 (10) 76484197 .. 16 (1) 89764847 x 27 (2) 78914878 „ 27 (3) 34876128 .. 27 (4) 1897189G .. 27 (5) 87691989 „ 27 (G) 56897649 .. 28 (7) 83789426 .. 28 (8) 49768974 ,. 28 (9) 87948764 „ 28 (10) 10074876 M 28 (1) 8647849 x 54 (2) 7643497 .. 54 (3) 3968473 ,. 56 (4) 8074327 .. 56 (5) 4500870 M 60 (6) 7400247.. 64 (7) 7697843 ., 64 (8) 18ip976 „ 72 (9) 8764879 .. 72 (10) 4866437 .. 80 33 EXERCISE IV. By factors. (11) 4589345 X 18 (12) 6453897 .. 18 (13) 7645873 .. 18 (14) 9187642 „ 18 (15) 76«4190.. 18 (16) 7148762., 20 (17) 2:^64254 „ 20 (18) 8762019 .. 20 (19) 2867431 ,. 20 (20) 9789789 ,. 20 EXERCISE V. ]}y factors. (11) 8974324x32 (12) 6987476,, 32 (13) 6789789 .. 33 (14) 7987618 .. 33 (15) 7124689 „ 35 (16) 2687429 ., 35 (17) 7628793,, 36 (18) 7648973 .. 3(J (19) 5678989,. 40 (20) 2098788 „ 40 EXERCISE VI. Uy Aictors. (11) 7647884x84 (12) 9091298 „ 84 (13) 7584976 ,. 88 (14) 9784679 „ 88 (15) 8769843 ., 90 (16) 4269742 ., 90 (17) 3478921 ,. 96 (18) 7486739 „ 96 (19) 2345678 ,. 99 (20) 6353387 .. 90 (21) 7654324x21 (22) 6784789 „ 21 (23) 7648497 ,. 21 (24) 6458979 „ 21 (25) 8945083 „ 21 (26) 7698742 ,. 24 (27) 7643519,. 24 (28) 2144876 .. 24 (29) 4892176 .. 24 (30) 8671976 .. 24 (21) 8749376 x 42 (22) 8968794 ., 42 (23) 7308746 „ 44 (24) 3896213 ., 45 (25) 2344878 ,. 45 (26) 6428647 .. 48 (27) 6897473 ,. 4H (28) 2345678 ,. 49 (29) 9478632 .. 49 (30) 7642897 .i 50 (21) 7345678 x 100 (22) 7689732 .. 100 (23) 4879219 „ 108 (24) 7689708 „ 108 (25) 9808703 .. 121 (20) 7003224 .. 121 (27) 9748976 „ 132 (28) 7689430 ,. 132 (29) 6787029 .. 144 (30) 4396147 .. 144 m (1) 47867li48X 13 (2) 49764724 „ 23 (3) 97640127 .. 17 (4) 86456789 .. 19 (5) 45786738 ,. 26 (6) 58764973 .. 29 (7) 68745384 ., 31 (8) 84769487 .. 34 (9) 96893897 .. 37 (10) 74574786 „ 38 34 EXERCISE VII. (11) 6876436X41 (12) 8763247 .. 43 (13) 7692874,, 47 (14) 7684676 „ 61 (15) 9768746 „ 54 (16) 8769746 „ 69 (17) 7896418,, 62 (18) 8764872,, 67 (19) 7428768 „ 69 (20) 4895896 „ 71 (21) 1764789X73 (22) 5678909 „ 74 (23) 4976874 „ 76 (24) 8790618 „ 78 (25) 1876487 „ 79 (26) 4218563 „ 87 (27) 8876497 .. 89 (28) 8974678 „ 95 (29) 8678973 ., 97 (30) 9764579 „ 98 (1) 894567X112 (2) 876421 „ 213 (3) 674298 „ 326 (4) 764789 „ 436 (5) 741892 „ 647 (6) 741892 „ 408 (7) 621879 „ 190 (8) 764567 ,. 700 (9) 489772 „ 687 (10) 246683 „ 789 EXERCISE VIII. (11) 897946X768 (12) 976428 ,,402 (13) 712389 „ 509 (14) 767424 „ 207 (15) 963421 „ 901 (16) 476842 „ 806 (17) 428429 ,,705 (18; 764872 „ 406 (19) 974287 ,. 894 (20) 287628 „ 702 (21) 728978X870 (22) 145676 „ 470 (23) 534798 „ 430 (24) 874216 ,,900 (26) 968742 „ 600 (26) 974684 „ 800 (27) 764714 „ 109 (28) 621487 ,. 307 (29) 758508 „ 778 (30) 400876 „ 806 (1) 287645X143 (2) 289712 „ 175 (3) 187214 „ 261 (4) 178967 M 563 (5) 468972 „ 324 (6) 218914 ,, 165 (7) 874214 „ 976 (8) 234667 .. 875 (9) 874321 „ 721 (10) 966004 „ 804 EXERCISE IX. (11) 87624X5403 (12) 87289 „ 3009 (13) 90042 „ 8018 (14) 42108 „ 1085 (15) 68749 „ 4800 (16) 17846 „ 6102 (17) 46897 „ 7866 (18) 23876 „ 8099 (19) 81004 „ 7012 (20) 66432 „ 8000 (21) 46567X22040 (22) 72183 „ 92318 (23) 87642 „ 40012 (24) 32187 M 31200 (25) 73951 „ 10023 (26) 84062 „ 20006 (27) 95173 „ 80088 (28) 60284 „ 99777 (29) 17395 ., 44555 (30) >28406 „ 33333 35 EXICRCISRX. Find the (I ) 13 (3.) (4) (7) (H) (10 ) 14 15 10 17 18 19 20 21 22 s(jnircii of: (11 ) 23 (12 ) 24 (13 ) 25 (14 ) 3^) (15) 35 (10 ) 40 (17 ) 45 (18 ) 50 (10) 55 (20 ) GO (21) (22) (23) (24) (25) (20 ) C^7) (2S) (29) (30 ) 05 70 75 80 85 00 05 100 105 110 EXERCISE XI. Find the squares of : (I) (2) (3) (4) (o) (<5) (7) (0) (10) lOOO 025 809 099 888 700 719 817 244 330 (11) (12) (13) (in (15) (UJ) (17) (18) (19; (20) 2003 1111 2002 ^:000 5555 4444 3450 0783 8121 8979 (21) (22 ) (23 ) (21.) (25 ) (2^.> ) (^7) (28 ) (29) (3D) 2020 5000 0060 9375 5S79 5005 4100 2500 0100 13)0 EXERCISE XII. Find ike cubes of: (1) 12 (2) (^■) (1) (^) OO ^7) (8.) {^) (10) 18 20 25 50 75 04 95 90 99 (H) (12) (13) (14) (15 ) (10) (17) (18) (19) (20) 100 110 120 125 121 J 30 700 750 800 900 (21) (22) (23) (24) (25) (20) (27) (2H) (29) (30) 222 444 boo 000 701 802 320 331 404 505 (31) (32) (33) (34) (35) (30) (37) (38) (39) (40) 115 120 125 21 31 41 51 01 71 81 (31 (32 (33 (34 (35 (30 (37. (38. (39. (40. (31 (32 (33 (34 (35. (30 (37 (38 (39 (40 1005 2013 7210 4300 1025 0102 2211 3912 4002 7005 1000 20€0 3003 4400 0500 2009 coil 4025 8712 8D05 h ^ .^ m m (1) 4868842 -f 2 (2) 6348804 y 2 (3) 8604252 „ 2 (4) 2674388 „ 2 (5) 9636996 „ 3 (6) 6961218 n 3 (7) 2415927 n 3 (8) 4121620 „ 4 (9) 2432836 .. 4 (10) 3914724 „ 4 36 EXERCISE I. (11) 64584765-^5 (12) 89648730 „ 5 (13) 67879284 „ 6 (14) 89395776,, 6 (15) 2724^216 ., 7 (16) 13505723 „ 7 (17) 89697848 „ 8 (18) 97859250 ., 8 (19) 92737926 „ 9 (20) 91927638 „ 9 (21) 28764870-^10 (22) 78964890 ,. 10 (23) 12345674 „M (24) 24599795 „ 11 (25) 49368768 „ 12 (26) 28949076 „ 12 (27) 88983792 „ 12 (28) 59987688 .. 12 (29) 47686656 „ 12 (30) 71699508 ,. 12 (1) 985768545 (2) 687698464 (3) 687984246 (4) 387456320 (5) 130224468 (6) 876529392 (7) 857698625 (8) 958768461 (9) 931684770 O) (10) 904368402 EXERCISE By factors. ^15 (11) „ 16 (12) „ 18 (13) „ 20 (14) „ 22 (15) „ 24 (16) M 25 (17) „ 27 (18) ,. 45 (19) ., 49 (20) II. 1796842688 2793684249 2476894224 543768-224 3948767388 2076842427 7169950800 3176823672 5389643710 3856237776 -T- 64 „ 81 „ 84 n 96 ,. 108 „ 121 ., 120 „ 132 „ 132 „ 144 EXERCISE (1) 8976487984 ^ 7 (2) 2874697845 .. 8 (3) 9123456781 .. 6 (4) 4689761234 ., 5 (5) 1234567890 .. 11 (6) 9087654321 „ 12 (7) 9990088777 tg\ 94345g75i.ftQ 4 ft (9) 8523783778 ., 10 (10) 7612007365 ,. 6 (ID (12) (13) (14) (15) (16) (17) (19) (20) III. 89076543218 -- 5 84768974599 „ 9 41800976587 .. 7 42871861488 „ 11 18764218721 „ 12 45076087218 „ 7 41238761219 „ 4«0713()8174 ,5 4 28736871974 „ 9 12345678907 u 12 f ■'^, •'ft 37 EXERCISE IV.— By factors. Teach how to find the true remainder. (1) 4567897-^-14 (11) 9876542^30 (21) 4444444^ (2) 2789842 „ 15 (12) 2410001 ,. 32 (22) 5555555 .. (3) 1234567 .. 16 (13) 17«0762 „ 35 (23) 4567874 .. (4) 8432784 „ 18 (14) 8768742 „ 36 (24) 4287642 „ (5) 2123333 „ 20 (15) 2688711 .. 40 (25) 1884289 „ '(]) 5056062 M 21 (16) 5712102 „ 45 (26) 3874200 „ (7) 8829043 „ 24 (17) 7121129 „ 49 (27) 8712897 .. (f^\ 9878888 ., 25 aS^ 4876428 „ 56 (28) 8642871 .. (1) 4456789^31 (2) 4567871 .. 41 (?>) 8764287 .. 51 (4) 1234566 „ 61 (5) 8742876 m 71 (0) 9987421 n 91 (7) 6478421 M 23 (8) 4345009 „ 34 (9) 1876984 ., 37 (10) 2837649 „ 38 EXERCISE V. (11) 8427648^43 (12) 8972487 ,. 53 (13) 7898764 „ 62 (14) 7934375 „ 47 (15) 2984687 ., 46 (16) 8978469 ,. 73 (17) 6874 123 „ 76 (18) 8974215,, 83 (19) 4887642,, 86 (20) 7897421 „ 98 (21) 7246874 (22) 2876471 (23) 4876874 (24) 8724863 (25) 2876423 (26) 2871200 (27) 1000224 (28) 1764278 (29) 2764821 (30) 4323072 81 88 99 100 110 121 132 132 144 144 ^17 „19 „29 „39 ,,59 „79 „ 89 „67 ,. 69 „97 ^'-w ^■ 3« EXERCISE Vll. (1) 79i;34G78- (2) 71392185 (3) 82356413 (4) 91870424 (5) 88888888 (6) 99999989 (7) 66666666 (8) 440C0000 (9) 40684712 (10) 74187699 (11) 98769874 (12) 66784764 (13) 10134345 (14) 29225366 (15) 38316189 (16) 47307000 (17) 56598978 (18) 65689890 (19) 74770712 (20) 83861634 (21) 92952556 (22) 11043478 (23) 20134390 (24) 39225212 „ (25) 48316113 „ (26) 57407014 „ (27) 66598915 „ (28) 75689816 ., (29) 84760767 u (30) 93861618 „ (31) 12952500 „ (32) 21043447 .. (33) 30134387 .. (34) 49225267 .. (36) 67497095 „ (37) 56788954 u 5130. 7134, 6900, 7000, 4666, 7777, 5850, 1230, 8972, 9009, 8012, 9764, 1200, 2370, 2009, 1918, 2417, 1600, 1800, 9000, ,7000 , 9100, , 2100, , 1214, , 9009, , 6200, , 1280, . 6712, , 2872, , 1210, , 4005, , 6006, „ 9000, 6005, 8216 6298 7428 8122 4440 7500 8002 8120 6000 2005 1284 9287 1300 2008 1009 1716 1500 1700 1900 8000 GOOO 8210 8700 1009 8008 9100 9102 9999 9011 1200 5004 7007 8008 5005 1301, 2020, 2000 1000 (38) 516000000 -r (39) 754000000 ., (40) 987123456 „ (41) 971248762 „ (42) 381286613 ,. (43) 847689788 „ (44) 458768721 ., (45) 428697124 „ (46) 778478176 „ (47) 687128763 „ (48) 999999996 „ (49) 565656565 „ (50) 726874105 , (51) 155867893 „ (52) 987000812 v (53) 847677174 „ (54) 771287005 , (55) 957962712 , (56) 267749000 „ (57) 847624784 , (58) 642789700 , (59) 567819715 „ (60) 787421700 , (61) 487328714 , (62) 764870000 , (63) 849761214 (64) 476870015 (65) 687420000 (66) 846217125 (67) 724856700 (68) 121054688 „ (69) 721846985 „ (70) 847689789 „ (71) 894766824 „ (72) 978887000 .. (73) 788299200 „ (74) 644178250 n 5000, 8700 9500, 5555 19, 800426 97, 800000 919, 48945 887776, 83 47865, 199 1U09, 2898 919, 38799 68712876 88888, 777 8100, 4009 9008, 7112 1200, 1300 6680, 9812 124006, 49 133, 20340 405, 20019 50Q0, 9010 24 687400 110, 11888 12345, 93 24, 32, 49 64, 88, 99 , 144 27, 72 , 119. 31 17 909, 30. 47 700, 90, 70 780 91, 19 800 80,90 4200, 8100 2120, 2700 4900, 5600 7500, 6400 8100, 5500 9600, 4400 8800, 4200 39 MISCELLANEOUS PROBLEMS. 1. Find the sum of 89764 + 34897 + 8496 + 47^7 + 639 + 47386 + 99 + 80 + 9 + 864 + 704. 2. From 917648476942 take 798698749898 and divide the remainder by eleven. 3. Find, the difference between 7008 times 62058 and the number that is 17 less than 1,000,000. 4. The dividend is 1123487849, and the divisor is 8976; find the quotient. 5. How many times can 8946 be subtracted from 1234548? 6. Give the Roman numerals for 89, 47» ^34, 37^, 549j 999- 7. What is the difference between the square of 450^5 and the cube of 606 ? 8. A man died this year aged 97 ; in what year was he born ? 9. Product == 2796702433, multiplicand = 3^S^9^T' find muliplier. ib. A gross is 12 dozen ; how many gross are there in 43200 oranges ? 11. How many times 96 will make 2000 times 48? 12. Find the value of 864 + 3972x68 + 534x6079 + 371 — 872 — 984-4-87. 13. How many times does a clock strike m 24 hours? J4. Quotient -= 1463171, remainder = 79, divisor -= 86 ; find dividend. £5. Add together the sum, difference, product and quotient of 367625 and 625. 16= Dividend -^ 06895965, quotient = i957494» re- mainder === 120; find divisor. 40 17- Multiply the sum of 847367, 298473, 26384, 857- 684, 384729 by 1340; from the product subtract 7638584 and divide the remainder by 479. 18. 1760 yards make a mile. How many miles in 26400 yards ? 19. Divide 763^45^79 l>y 67, 849, 70609, 85936. 20. In what year will a boy, who is seven years old now, be 21? 21. There are 36 inches in a yard, and 66 yards in a chain. How many inches in a chain ? 22. If 2 men do a work in 90 days, how long would it take 1 2 men to do it ? 23. Divide the continued product of 37, 64, 81 and 147 by 56. 24. How long is it since the battle of Waterloo, which was fought in 18 15 ? 25. Two factors are 57682 and 8093. Find their product. 26. Multiply 94836 by 768, and divide the product by 9216. 27. How much is 72896 less than 87231 ? 28. What number multiplied by 52 will give the same answer as 338 multiplied by 176 ? 29. How often may 236 be taken from 4302 ? 30. Subtrahend =.= 35684, difference == 1907, what is the minuend ? 31. Product of two numbers = 329406, one of them is 713, find the other. 32. Find the value of 89794 -h 7008 X 17 — 98765. 33. Dividend = 8974469504. Quotent=i 28128, what is the divisor. fi 4' V I / :1 ' 34. How many more legs have 26 horses and 17 dogs than 13 hens and 29 ducks ? 35. Twice the difference is 78336, the subtrahend is 10695 ; find the minuend. 36. The divisor and quotient are each 678954 find the dividend. 37. Find the smallest number that must be taken from 496784879 so that the remainder may exactly contain 9019. 38. A man bought a farm for $10,000, and gave for it 67 horses at $108 each, and the rest in money. How much money did he give ? 39. If 27 yards of cloth cost $3, how many yards can be bought for $2 ? 40. A boy sold a dozen and two trout for 5 cents apiece, 18 rock bass for i cent apiece, and half a score of black bass for 8 cents apiece ; how much did he get for all his fish ? 41. Give Arabic numerals for lxxiv, dccclxxxix, CMXCViii, ccxLix, cxviii, and Roman numerals for 27, 39, 43> S^y 7I1 96, 475» 8^8. 42. The divisor and the quotient are each 15625, and the remainder is the greatest possible j find the dividend. 43. Add all the numbers ending in 5, 7 or 9, from 20 to 50; multiply this sum by 19, and divide the product by 29. 44. There are 5280 feet in a mile. How many feet are there in 10 15 miles? 45. How many years since the discovery of America, by Columbus, in 1492 ? ff T wm » 42 46. How many pairs of gloves are there in 796 dozen single gloves ? 47. Take 91080 from the product of 50416 and 207. 48. Divisor = 25 ; dividend ==4276; quotient = 171; find the remainder. 49. Divide 32456789 by 84, first by long div and then by short division, and show that the i. wers are the same. 50. By how many does 98745 exceed 29 ? 51. How many pence are there in 7484 shillings ? There are 12 pence in i shilling. 52. How many dozen apples are there in 1728? 53. Find the difference between one hundred and fifty thousand and nineteen, und dcxcix. 54. What is the sum of 6 times (48 + 56 — 93 + 307- 59) and 4 times (48 + 56—93 + 304—5 9)- 55. Divide 8932 x 684 by 8932 x 4. 56. Multiply 763804 by 389, and 708469 by 983 ; divide the difference of these products by 479. 57. A girl 8 years old in 1882 will be 19 in what year? 58. There are two numbers, the less is 514 and the other exceeds it by 268 ; find their sum. 59. Wellington was born in 1769, and lived to the age of 83, in what year did he die ? 60. Find the number, the half of which is 2 gross, 9 score and 8 dozen. 01. me civiaena 9261, quouenc 17, find the divisor. remainder -"= ■ 373 ft ■^ •*, 43 DEFINITIONS. 1. Arithmetic is the science of numbers and the art of using them. 2. A Unit is a single thing regarded as a whole. 3. A Number is a single unit or a collection of two or more, units. 4. Notation is the art of writing numbers. .5. Numeration is the art of reading numbers. C. A DDiTiON is the process of finding the sum of two or more numbers. 7. The Addends are the numbers to be added together. 8. The Sum is the number found by adding two or more numbers together. G. The sign + is called p^Ms, and when written between numbers means that they are to be added together. 10. The sign = is called the sign of equality, and when written be- tween two quantities means that they are equal to one another. U. Subtraction is the process of finding the difference between two numbers. 12. The Minuend is the number from which another number is to be subtr ted. 13. The Sutrahend is the number to be subtracted. 14. The Difference is the number found by subtracting one quan- tity from another. 15. The sign — is called minm. and when written between two num- bers means that the one following it is to be taken from the one preceding it. 16 Multiplication is a short method of finding the sum of any given number repeated as often as there are units in another. 17. The Multiplicand is the number to be multiplied. 18. The Multiplier is the number which shows how often the multiplicand 'is to be repeated. 19. The Product is the number found by multiplying two or more numbers together. 20. The sign x is called the sign of multiplication, and when written between tv\ o numbers means that they are to be multiplied to- gether. 21. Division is the process of fiading how often one number is con- tained in another. 22. The Dividend is the number to be divided. • t 23. The Divisor is the number by which you divide 24. The Quotient is the number found by dividing one number by another. 25. The sign -i- is called the sign of division and when written be- tween two nuiuuors means that the first is to be divided hif tue second. h- • i 44 HOW TO tp:ach multiplk!ation and . DIVISION. If the pupil has learned addition properly he will experience little difliculty in learning multiplication or division. Suppose, for instance, a pupil is asked to learn the sixth line of the multiplication table. He has, while in addition, learned to add by sixes, thus, 6, 12, 18, 24, 30, etc. Now, he has simply to change the mode of expression and say : Once 6 is 6 ; twice 6 are 12 ; 3 times 6 are 18 ; i times fi are 24 ; 5 times 6 are 30, etc. An interesting variation may be adopted by placing the numbers 6,12,18. 24 30, 36, 42, 48, 54 on the blackboard or referring to them in the table, and using 6 as one of the factors ask the pupils to break up each of the numbers. For example, when the teacher points to 24 the pupils cry out 6 times 4 ; when to 48, 6 times 8 ; when to 42, 6 times 7, etc. Taking the same numbers proceed to division. Point to any of them and ask how many sixes are in it. For instance how many sixes are in 24? in 48? in 42? etc. Next write on blackboard or refer to them in table the numbers 1 greater than those given above, viz.: 7- 13, 19, 25, 31, 37, 43, 49, 55. Point now to any of them, say to 25, and ask how many sixes are in it ; the pupils will at once perceive that there are 4 and 1 of a re- mainder. How many sixes in 49 ? 8 and 1 remains. How many in 43? 7 and 1 remains, etc. Proceed similarly with the numbers 2 greater, 3 greater, etc. To save the time and labor necessary to write the numbers on the blackboard "The Improved Division Table" has been prepared on the principles mentioned above,the numbers being written vertically instead of horizontally. Suppose the pupil to be learning by the table to divide by 6. The first column gives the numbers into which 6 goes evenly, the second those whose remainders are 1, the third those whose remainders are 2, and so on. 6 goes into 13 the same number of times that it goes into 12 but 13 being one greater than 12 there will be a remain- der of 1. 6 into 54 goes 9 times, into 53, which is 1 less, it will go 8 times and leave 5. 5 is the greatest remainder that the divisor 6 can have. Give the numbera into which 6 goes evenly ; those which, if divided by 6, the remainder will be 1, &c. What number will 6 go into 7 times and leave 4 ? &c. 6 will go 8 times and leave 2, into what number ? &c. These and scores of other variations when pointed n-iti- V>Tr *\\e\ •♦liim" i-Ao/t'how inoIrA fViio tfl.W#» Vft'*V ftt^l*** Ot.1 T7A trt fHp learner. It can be used with equal advantage in teaching multipli- cation. '-* '-^ -i>A > *^*i;p»^*w>whi i «*»' ' -- THE MULTIPLICATION TA^, iiniM 1 ard 2 a .. 6 4 .. 8 6 .. 10 1 ftre 3 2 .. 6 6 7 8 9 10 11 12 12 U 16 18 20J10 22 24 3 4 6 6 7 8 11 12 9 12 15 18 21 24 27 30 33 36 1 arii 4 2 .. 8 3 4 6 12 16 20 24 6 '% 7 .. 28 If • • Vifi 9 ;. 36 10 . V 40 11 .44 12 .48 ;7 times lare 7 3 .^21 4 .: 28 5 .36 7 X. 49 8 tim«i laf^ 8 2 . .16 24 32 40 8 9 10 11 \*'i 56 63 70 77 84! 3 4 5 6 7 ..56 8 . . 64 ^"^■fH I^MMWMMwWM tiinea j limea l?te 5j lift 6 2 .. lol 2 .: 12 3 ., 15; 3 .. 18 4 .. 20 4 .. 24 5 .. S^ 5 .. 30 6 .. 30 6 .. 36 7 .. S5 7 ..42 3 .. 40 8 ..48 9 .45 9 .. 54 10 .. 4010 .. 60 11 . . 55 II . . 66 12 . . 60112 , . v2 1 aro 9 _ % .. 18 2 3 . 27 3 4 ..^4 5 .. 4S 5 ^ .. 54 7 . ^ 8 V. 72 9 ..72 9 .81 10 .i 8010 V. 90 11 .8811 .99 12 .. 96 10 limea larei^O .20 . m 40 50 12 .108 6 7 60 11 timea 1 aro 11 ^ : 22 3 . 33 4 .4^ 5 , 55 6 .. |» 7 ..77 12 timea 1 are 12 2 .24 8 V, 80 8 .. fiS 9 .90 9 f. 99 10 w^lOO 11 .110 10 .VllO U .121 I^ ..I20|ll ;.132 3 4 6 7 3 36 48 60 72 84 96 vl08 10 .im 12 . ,144 9 X. 10 ^ ROMAN NtlMlRAiiS. 2 ^ 4 6 6 7 8 fi Yi' ^ ^^^ ^^ ^^- XVII. xnn. XIX. xx! U 12 13 14 15 16 17 18 19 m XXII. xxni xmv, xxv< xxi^ xxm ^ito. 22 23 24 M 26 27 wsn. I. 1 JLX3U. 21 XXX. XL m* J::WDt-_,_ MXX,_l.xcr o n. M- 3j 4u 60 eo 70 80 m ^m sua low y • THK IMPROVED DIVISION TABLi^:. 4 nto 10 14 1531 22 1(1 17 24 25 1^ 10 27 '23 4 8 12 1410 17|20 20 24 23 28 2G 32 29% r» 9 13 17 21 25 29 33 6 10 14 18 22 20 30 31 37 33 7 5 1110 15; 15 19120 23 25 27 30 3135 31140 39 45 11 Hj 21 3 3() 41 40 5 into 7 12 17 22 27 32 37 42 47 8 13 18 23 28 33 33 43 43 91 14; 19| 24 1 29 34: 39| U\ 49: Onc0 fwioe 3 times 4 timuA 5 times 6 timeA 7 tiinea 8 timoa 9 lim JO Q 1 1 2 1 2 3 1 2 •> 4 riMnriinei i into .7 a 14 I?! 21 2i 28 2^t 35 3i^ 42 4:^ 49 50} 56 57| G3 041 9 10 16 17 2$ 24 30 31 37^ 38 44 45 51 52 58 59 65 60 11 12 18 19 25 20 32 33 39 40 46 47 53 54 60 61 67 68 13 20 27 31 41 8 9 16 17 24 25 32 33 40 41 48 43 40 55J50 57 62 64 05 69 72 73 li 2 3 4 5 6 1 8 into 10 11 12 13 14 15 Oiat) 18 19 20 21 22 23 C wico 26 27 28 29 31 31 3 times 34 35 30 37 33 39 4 Lim^)& 42 43 44 45 50 47 'J tim'is 50 51 52 53 54 55 > times 58 59 00 01 02 OS 7 times 06 67 68 09 70 71 8 tia'ifift 74 75 70 77 78 79 9 times 2 3 4 5 6 7 R -niaiits 6 into 6 *7 i ft » i ?. 0| 9 12 13ll4f 15 18 19 ^0^ 21 24^25 120 37 30 31 ^a 33 30 37 m 33 '42 43 14 45 48 49 pd 51 54 00 oO .., .4... 57 1 y 3 1 i 10 11 10 17 22 23 28 29 34 35 40 41 40 47 52 53 58 59i 5' 9 into 9 10 11 12 13 18 19 20 21 22 27 28 29 30 31 36 37 33 39 40 45 40 47 43 49 54 55 50 57 S'-^ 03 04 t.5 65 07 72 73 74 75 70 81 82 83 84 85 14 15 10 17 Once 23 24 25 20 Twice 32 33 34 35 3 times 41 42 43 44 4 times 50 51 52 53 5 times 69 50 01 62 6 times 08 09 70 71 7 times 77 78 79 80 8 times SQ 87 88 89 9 times 1 2 3 4 5 5 7 8 Remains