COMPOUND MULTIPLICATION. COMPOUND Multiplication is when the Multiplicang consists of several denominations, &c. 1. To Multiply Federal Money. RULE. EXAMPLES. . S d. c. m. 97 25 8. There were forty-one men concerned in the pay. ment of a sum of money, and each paid 3 dollars and 9 inills; how much was paid in all ? Ans. $123 36cts. Imills. 9. The number of inhabitants in the United States is hve millions; now suppose each should pay the trifliny sum of 5 cents a year, for the term of 12 years, towards a continental tax : how inany dollars would be raised thereby Ans. three millions Dollars. 2. Ta Multiply the Denominations of Sterling Money. Weights, Maasures, &c. RULE.* Write down the Multiplicand, and place the quantity underneath the least denomination, for the Multiplier, and in multiplying by it, observe the same rules for carrying from one denomination to another, as in Compound Addition. INTRODUOTORY EXANPLES. 6. 8. d. q. Multiply i 11 6 by 5. How much is 3 times 11 g. 5 Prod. 67 17 8 2 f1 15 Si • When accounts are kept in pounds, shillings and pence, this kind of multiplication is a concise and elegant mcthod of Auding the value of goods, at so much per yard, lb. &c. the forveral rule being to multiply the given price by the quantino COMPOUND DIVISION, TEACHES to find how often one number 1 contained in another of different denominations. DIVISION OF FEDERAL MONEY. Any sum in Federal Money may be divided as a whole namber; for, if dollars and cents be written down as a simple number, the whole will be cents; and if the sum consists of dollars only, annex two cyphers to the doilars, and the whole will be cents ; hence the follow ing GENERAL RULE. Write down the given sum in cents, and divide as in whole numbers; the quotient will be the answer in cents. Note. If the cents in the given sum are less than 18, you must always place a cypher on their left, or in the ten's place of the cents, before you write them down. EXAMPLES. 1. Divide 35 dollars 68 cents, by 41. 41)3568(87 the quotientin cents; and when there is any considerable reinainder, you may annex a cypher to it, if you pleaso, 288 and divide it again, and you will have the mills, &c. 287 2. Divide 21 aollars, 5 cents, by 14 14)2105(150 cents=1 dol. 50 cts. but to bring cents into dollars, you need orily point off two figures to the right hand for cents, and 70 the rest will be dollars, &c. 1. Bought 25lb. of coffee for 5 dollara.. what is that a pound : Ans. 20cts. 2. If 151 yards of Irish linen cost 49 dols. 78 cts. What is that per yard ? Ans. Sects. 3. If an cwt of sugar cost 8 dols. 98 cts.. what is that per pound : Ans. Scts. 4. 'If 140 reams of paper cost 329 cols. what is that per ream? Ans. 82 35cts. 5. If a reckoning of 25 dols. 41 cts. be paid equally among 14 persops, what do they pay a piece ? Ans. $1 81}cts. 6. If a man's wages are 235 dols. 80 cts. a year, what is that a calendar month 1 Ans. 819 65cts. 7. The salary of the President of the United States, is twenty-five thousand dollars a year; what is that a day: Ans. 868 49cts: 2. To divide the denominations of Sterling Money, Heights, Measures, ģc. RULE. Begin with the highest denomination as in simple di pision; and if any thing remains, find how many of the next lower denomination this remainder is equal tu; - which add to the next denomination; then divide again, carrying the remainder, if any, as before ; and so on, tilt t the whole is finisheil. 5 Proof-The same as in Simple Division. 2. When the divisor exceeds 12, and is the prouluct of two or more numbers in the table multiplieil together. RULE. Divide by one of those rumbers, first, and the quotient by the other, and the last quotient will be the answer. EXANDLES. 1. Divide 29 15 O by 21 2. Divide 27 16 O by 32 3. Divide 67 9 4 by 44 4. Divide 24 16 6 by 5. Divide 128 9 0 by 42 6. Divide 269 12 4 by 7. Divide 248 10 8 by 64 8. Divide 65 14 O by 7% 9. Divide 5 10 3 by 81 0 17 41 1 10 8 0 13 94 . 3 1 2 4 16 31 |