EXAMPLES. (2.) ? (3.) Multiplicand Product 1749072 - - Multiply 718374 by - 5 8. Multiplex 715602 by 9 2714863 10 718374 11 456789 12 273580961 by 23 Product 6292362103 1399507966 52120908 12660228 138317403 275029248 2001049068 35640569003 7428927415293 10500000 108036000000 5349212116 897446950 20 57368400 84756310000 809325 72828716 2647505 3094791 55040076 53746 13 64758 15 753426 17 857463 19 68024 102 76543 105 · 47135 107 83572 21 58372 61 34567 91 Ans. 9908756000. eventy-six thousand and two. Ans. 647233032 35 35. QUESTIONS FOR EXERCISE. 44. There are two numbers the greater of them is 73 times 109; and their difference 17 times 28. Required their sum and product ? Ans. 15438 their sum. 59526317 their product. 45. What is the product of 7143 multiplied by 37 and 29? Ans. 46. There werë 71 men concerned in the payment of a sum of money, md each man paid $1275. I deinand how inuch was paid in all ? Ars. 47. An army of 10000 soldiers having plundered a city, took so much money, that after the Officers took $125000, and the rest was shared among them, each man had $127. 'Tell me the amount of the sum taken? Ans. SIMPLE DIVISION Teacheth to find how often one number is contained in so mother, and readily performs many subtractions. The number to be divided is called the dividend The number of times the dividend contains the divisor is cala led the quotient. The remainder, if any, will be less than the divisor: EXAMPLES. (1.) (2.) dividend. dividend. divisoz 6j2134 (364 quotient. divisor 24)9464 (394 quot. 189 6 72 24 17. (14.) 493627158 18. 786475 19. 1230456 (20.) (21.) 3) 56103961 5)1370192 (15.) 765000)937158646 by 8570000 1354000 100 10000 (22.) (23.) 7)837261 9)123456 24. divide 789012 by 11. I 25. divide 5456789 by 12. Rule. To find the true remainder when the divisor isthe product of two numbers, multiply the last remainder by the first divisor, and add the first remainder. (26.) 27. divide 48967 by 72 57)31046635 28. 89674 96 56 29. 93125 109. 8) 4435262 1 first rem. 30. 57113 99 31. 70421 144 554407 6 sec. rem. 32. 48379 121 33. 73421 132 Ans: 554407 rum. 43. 34. 17865 180 QUESTIONS FOR EXERCISE. 35. What number multiplied by 72084 will produce 5190048? Ans. 36. What number multiplied by 57 will produce just what 134 multiplied by 71 will do ? Ans. 37. Subtract 30079 out of ninety-three millions as often as it can be found, and say what the last remainder exceeds or falls short of 21180 ? Ans. 38. Suppose nine thousand men march in a column of 750 deep; how many march a breast ? Ans. 39. I would plant 2072 fruit trees in 14 rows, twenty-five feet assunder; how long must the grove be ? Ans. COMPOUND ADDITION Shews how to add several numbers of different denom. inations into one sum. FEDERAL MONEY. M. 10 Mills 1 Cent. 10 1 10 Cents 1 Dime. 100 D. 10= 1 10 Dimes 1 Dollar. 1000 100= 105 1 2 10 Dollars 1 Eagle. 10000 1000=100=IQ: make Note-The only division in practical affairs are Dollars and Cents. English and French crowns at 110 cents, and Spanish dollars at 100 cents, are current in the United States. EXAMPLES. 1. Add 27} eagles ; 57 dollars, 9 dimes, 4 cents, 5 mills ; 171 dollars, 8 cents, 3 mills ; 6 eagles, 1 cent, 9 mills ; 17 dollars, 2 cents, 4 mills ; 12 dollars, 3 dimes and 5 cents, in Ans. 2. What is the sum of 57 E. 7$ 3 d. 4c. + 14 E. 7$ 5 d. 2 c. + 543$ 5 d. 2c. + 121$ 9 d.7 c. + 217$ 1 d. 8 c. into one sum? Ans. 3. Add 7188 54 c. + 1598 25c. + 1768 19c. +111$ 67 c. + 912$ 92 c. into one sum. Ans. 4. A Cashier received 6 bags of money, the first holds 5028 10 c. the second 512$ 75 c. the third 1004$ the fourth 8958 95 c. the fifth 599$ 50 c. and the sixth holds 998%. I demand the sum received ? Ans. one sum. ENGLISH MONEY. qrs. d. 4 Farthings Penny. 1 = 12 Pence 1 Shilling 48 = 12 1.£. 20 Shillings Pound Sterling. 960 =240 = 20=1 Likewise in this manner was money reckoned in the several States, until Congress passed a law in favor of the deci. mal computation. Guineas of 21s. half guineas of 10s. 6d. crowns of 5s. half crowns of 2s. 6d. shillings, sixpences, pence, half pence, and farthings are the real coins of Great Britain. PENCE TABLE. Pence Table, Pence Table. Shillings Table. d. d. d. d. d. d. 20 is 1 8 130 is 10 10 1 is 12 12 is 144 30 2 6 140 11 8 2 24 13 156 40 3 4 150 12 6 3 36 14 168 50 4 2 160 13 4 48 15 180 60 5 0 170 192 70 5 10 180 15 0 6 72 17 204 80 6 8 190 15 10 7 . 84 18 216 90 7 6 200 16 8 8 19 228 100 8 4 210 17 6 9 108 20 - 240 110 9 2 220 18 4 10 - 120 120 10 0 230 192 132 S. 96 III } TROY WEIGHT. gr. dwt. 24 Grains Penny weight. 24= 1 02. 20 Penny weights 1 Ounce. 480= 20=1 le. 12 Ounces 1 Pound. 5760=240 =12=1 By this weight are weighed Gold, Silver, and Jewels. (8.) (9.) (10.) (11.) Oz. dwt. gr. Oz. dwt. gr. ib. 02. dwt. gr. lb. oz. diot. 7 11 15 9 14 16 7 10 15 11 1 11 13 4 16 11 7 17 17 5 11 13 21 7 10 15 9 10 21 8 15 14 3 11 19 20 2 7 17 7 17 13 5 19 23 1 911 19 6 19 5 15 19 6 12 11 6 1 17 18 5 14 8 19 23 4 18 20 7 14 23 9 4 16 205 make APOTHECARIES' WEIGHT. &T. 3. 20 Grains Scruple. 3 3 Scruples 1 Dram. 60: 3= 1 3 8 Drams 1 Ounce. 480= 24= 8= 1 tb 12 Ounces 1 Pound 5760=288=96 = 121 By this weight Apothecaries' compound their medicines ; but they buy and sell by Avoirdupois weight. (12.) (13.) (14.) 5. 3. 3. 3. gr. 1. 3. 3. 9. gr. tv. 3. 3. 2. 16 3 11 7 2 21 10 5 1 2 20 8 11 7 2 19 7 10 1 1 23 9 8 6 0 19 7 10 7 2 20 8 8 6 0 19 8 10 5 2 18 6 10 6 1 18 7 4 0 20 hy 11 4 2 17 5 10 6 1 18 .8 4 5 1 18 6 11 3 2 16 4 10 7 1 18 5 5 3 2 11 5 11 22 15 3 11 7 1 11 重 |