17 10. 19 ADDITION TABLE. 2 and 2 are 43 and 9 are 1215 and 9 are 141 8 and 8 are 16 2 3 53 10 135 10 15 8 9 2 4 63 11 145 11 16 8 10 18 2 5 73 12 15 5 12 17 8 11 19 2 6 84 4 86 6 12 8 12 20 2 7 94 5 96 7 13 9 9 18 2 8 1014 6 1016 8 14 9 2 9 114 7 11/6 9 15 9 11 20 2 10 12 4 8 12/6 10 16 9 12 21 2 11 134 9 136 11 17/ 10 10 20 2 12 144 10 146 12 18 10 21 3 6 4 11 15 7 7 14] 10 12 22 3 4 74 12 1617 8 15 11 11 22 5 85 5 1017 9 16 11 12 23 3 6 95 6 117 10 17| 12 12 24 3 ng 1015 7 127 11 181 13 13 26 3 8 115 8 1317 12 19/ 14 14 28 To read the table, say 2 and 2 are 4; 3 and 3 are 6, &c. 11 All of the tables, and rules generally, should be committed to meinory, before the pupil attempts the solution of the questions. QUESTIONS. 2463 Explanation.-Begin by saying, 1 and 3 are 4, and 2 are 6, and 3 are 9; set it down. Then, 4532 4 and 7 are 11, and 3 are 14, and 6 are 20; set 0773 down 0, and carry 2 to 8, which will make 10, 9841 and 7 are 17, and 5 are 22, and 4 are 26; set down the 6, and carry 2 to the next figure, 9, 17609 amount. which will make 11, and 0 is nothing, but 4 are 15, and 2 are 17; always set down the whole 15146 amount of the last column. Then, to obtain the proof, draw a line under the numbers at the top, 17609 proof. and add the remaining numbers as before, omit ting the numbers at the top, and you find this sum to be 15146 ; this last sum is now added to the numbers at the top, which agrees with the first addition; hence it is supposed to be correct. Note.--A question may proven according to rule, and be incorrect, because the same error may be committed in the proof that was in the first calculation. 1. Henry has 7 apples, and George will give him 11; how many will he then have ? be 2. Thomas has 17 cents, John 19, William 14; how many in all ? 3. Samuel has 35 cents, he had lost 6; how many had he at first? 4. How many are 17, 18, 19, 20, and 21 ? How many are 32, 76, 83, 82, 2, 1, and 17 ? 5. William paid for a knife 31 cents, pocket-book 25 cents, slate 18 cents, book 42 cents, paper 7 cents ; what did they ail cost? 6. A farmer has 19 cows, 157 sheep, and 84 calves; how many in all ? 26. What is the amount of 427, 632, 781, 1001, 4765 32014 ? Answer, 39620 27. Add 672, 1021, 846, 27, 4762, 7820, and 48 together. Ans. 15196 28. Add the following numbers, 5876, 7890, 6874, 9658, 1234. Ans. 31532. 29. W., in the collection of money, received of B. 45 dolls., of C. 74 dolls., of D. 96 dolls., of E. 121 dolls. ; how much did he receive in all ? Ans. 336 dollars. 30. B. has four fields ; in the first he has 85 sheep, in the second 97, in the third 142, in the fourth 234 ; how many has he in all ? Ans. 558. 31. C. purchased at a store, 76 pounds of coffee, 27 pounds of sugar, 36 pounds of 37 cheese, 40 pounds of salt, 9 pounds of tea, 4 pounds of raisins, and 2 pounds of spice; how many pounds in all ? Ans. 194. vo 100's thous, w 10's thous. v1000's. w 10's. 8.4 7 6 7 6 38405 415333 30032 208732 235877 3 1 9 6 1 10 38 D. dimes. c. m. 42 7 6 4 187 6 9 3 96 7 4 1 176 3 7 2 340 6 9 7 7 4 2 652 3 4 96 7 8 4 39 42 D. e. Miles. Seconds. 1879 25 5 1921 47 46890 896747 470 21 8 1482 78 97642 342651 6741 57 9 1720 50 76960 986742 4202 87 5 1471 97 43219 489764 118 50 7 1682 31 84298 651876 642 09 4 1476 91 64967 981974 19 20 9 2978 77 36899 532763 142 78 6 9642 31 47947 876490 180 43. Required the amount of the following sums; five thousand seven hundred and eighty ; seventy-nine thousand four hundred and forty-two; eight hundred and eighty-nine thousand; one mil son; five hundred; twenty-one ; nine ; seven hundred ; twentyone thousand; fourteen; one hundred and nine ? Ans. 1996575. 44 45 46 47 48 486543 9874658 8479643 78964532 4798764 213456 6750234 5896745 47809214 2156845 789407 8456796 8421354 87642305 2156845 801508 5834978 6743214 78967408 9764058 764314 7640857 5679434 97814234 7428405 827641 6978574 5307642 70974584 6489675 583670 8328976 2131478 64897984 4287345 32487023 1472021 4466539, 53865073 42659510 32487023 1472021 49 67809782 31918976 52031607 65897031 21317215 78975873 50 31829176 15896502 321 78652 65897 551789 51 879678 *527659 768659 318796 528781 709152 52 5789630 2139567 8976387 6705896 3125789 2157682 53 79857690 87235278 76897652 13783658 21356785 10239653 54. A man commenced a journey, and travelled 9 days; the first day he travelled 34 miles, and after that he gained 1 mile every day; how many miles did he travel in the 9 days ? Ans. 342. 55. A drover purchased the following drove, namely: 102 oxen, for which he paid 5764 dolls.; 176 cows for 3784 dolls.; 50 calves for 250 dolls.; 420 sheep for 960 dolls.; of how many did his drove consist, and how much did he pay? Ans. the drove 748, paid 10758 D. 56. A miller purchased of a farmer 10 bags of wheat, which were to be paid for by weight, which was as follows: No. 1, 165 pounds; No. 2, 168; No. 3, 171; No. 4, 175; No.5, 178; No. 6, 180; No.7, 182 ; No. 8, 185; No. 9, 189; No. 10, 190; how many pounds of grain did he buy? Ans. 1783 pounds. 57. The plantation of a gentleman will produce in one season, 1500 bushels of wheat, worth 1875D.; 1350 bushels of rye, worth 1283D. ; 2134 bushels of barley, worth 1696 D., 450 bushels of corn worth 275D.; and 876 bushels of oats worth 421D. ; required the number of bushels of grain, and the value? Ans. 6310 bushels, value 5550.D. 58. What number of dollars are in 6 bags, each bag contain ing 37542D. Ans. 225252. 59. There is a valuable farm, one quarter of which is worth 15674D.; how much is the whole farm worth? Ans. 62696D. 60 D. c. m. 52 76 2 15 78 3 17 19 7 378 17 6 1837 65 7 1316 00 9 61 D. d. 178 7 6 9 189 6 25 7 6 3 268 7 C. m. 62 389678 58321 76521 0586 216 790 210 63 586 64. Add 4764608, 407, 76, 46876541, 76084763, together. Ans. 127726395. 65. Add 48, 96, 423, 8765, 6420, 4876, 904078, together. Ans. 924706. 66. Add 1, 7, 6, 941, 784, 54204, 56476096, together. Ans. 56532039. 67. Add 746796, 48, 50701, 30, 40, 17, 17645, together. Ans. 815277. 68. Add 9, 11, 642, 4786, 3000104, 68588479, 879643978, together. REVIEW Which is the first primary rule in Arithmetic? How many primary rules are there in Arithmetic? What are they called? How many secondary rules are there ? Name them. Why are they called secondary? What is Addition? What is the use of Addition? What is the rule for writing the numbers ? After the numbers are all written, how do you proceed? When you have found the amount of all the figures in the left or last column, what will you do? How do you prove the correctness of the work ? When you have proved your sum according to rule, do you know it to be correct? Why do you carry 1 for every 10? Recite the Addition table. 69. Ten partners have each 87452D. 20c. in trade; what is The amount of their capital ? 70. Add 4444444, 5555555, 6666666, 7777777, 8888888, together. |