1. Multiply 5,236 by ,008 Product ,041888 EXAMPLES. 2. Multiply 3,024 by 2,25 6,74352 5 Multiply 25,238 by 12,17 8. What cost 6,21 yards of cloth, at 2 dols. 32 cents, 5 mil's per yard? Ans. $14, 4d. Sc. 825m. 9. Multiply 7,02 dollars by 5,27 dollars. Ans 36,9954dols. or $36 99cts. 54m. 10. Multiply 41 dols. 25 ets. by 120 dollars. 11. Multiply 3 dols. 45 cts. by 16 cts Ans. $4950 Ans. 80,5520=55cts. 2mills. 12. Multiply 65 cents, by ,09 or 9 cents. Ans. $9,0585=5cts. 8mills. 13. Multiply 10 dols. by 10 cts. Ans. $1 Ans. $2,39+ separa To multiply by 10, 100, 1000, &c. remove the ting point so many places to the right hand, as the multi plier has cyphers. Multiplied by 10, makes 4,25 1. The places of the decimal parts of the divisor and qusstient counted together, must always be equal to those in the dividend, therefore divide as in whole numbers, and from the right hand of the quotient, point off so many places for decimals, as the decimal places in the divi dend exceed those in the divisor. 2. If the places in the quotient be not so many as the rule requires, supply the defect by prefixing cyphers to the left hand of said quotient. NOTE. If the decimal places in the divisor be more than those in the dividend, annex as many cyphers to the dividend as you please, so as to make it equal, (at least) to the divisor. Or, if there be a remainder, you may annex cyphers to it, and carry on the quotient to any degree of exactness. 13. If 21 or 21,75 yards of cloth cost 34,317 dollars, what will one yard cost? $1,577 NOTE. When decimals, or whole numbers, are to be divided by 10, 100, 1000, &c. (viz. unity with cyphers) it is performed by removing the separatrix in the dividend, so many places towards the left hand as there are cyphers in the divisor. To reduce a Vulgar Fraction to its equivalent Decimal.. RULE. Annex cyphers to the numerator, and divide by the denominator; and the quotient will be the decimal required. NOTE. So many cyphers as you annex to the given numerator, so many places must be pointed in the quotient; and if there be not so many places of figures in the quotient, make up the deficiency by placing cyphers to the left hand of the said quotient. CASE II. To reduce quantities of several denominations to a Decimal RULE. Bring the given denominations first to a vulgar fraction oy Problem III. page 76; and reduce said vulgar fraction to its equivalent decimal ; or RULE 2. Place the several denominations above each other, letting the highest denomination stand at the bottom; then divide each denomination (beginning at the top) by its value in the next denomination, the last quotient will give the decimal required. EXAMPLES. 1. Reduce 12s. 6d. Sqrs. to the decimal of a pound 2. Reduce 15s. 9d. 3qrs. to the decimal of a pound Ans. ,790625 3. Reduce 9d. Sqrs. to the decimal of a shilling. Ans. ,8125 4. Reduce 3 farthings to the decimal of a shilling. Ans. ,0625 5. Reduce Ss. 4d. New-England Currency, to the decimal of a dollar. Ans. 555555+ 6. Reduce 128. to the decimal of a pound. Ans. ,6 NOTE. When the shillings are even, half the number with a point prefixed, is their decimal expression; but if the number be odd, annex a cypher to the shillings, and then by halving them, you will have their decimal expression. 7. Reduce 1, 2, 4, 9, 16 and 19 shillings to decimals. Shillings 1 2 ,1 4 9 16 19 ,95 Answers. ,05 8. What is the decimal expression of 4l. 19s. 6d. ? Ans. £4,97708+ 9. Bring 34l. 168. 7 d. into a decimal expression. Ans. £34,8322916+ 10. Reduce 25l. 19s. 54d. to a decimal. Ans. £25,972916+ 11. Reduce Sqrs. 2na. to the decimal of a yard. Ans. ,875 12. Reduce 1 gallon to the decimal of a hogshead. Ans. ,015873+ 13. Reduce 7oz. 19pwt. to the decimal of a lb. troy. Ans. ,6625 14. Reduce 3qrs. 21lb. Avoirdupois, to the decimal of Ans. ,9575 15. Reduce 2 roods, 16 perches to the decimal of an an cwt. acre. Ans. ,6 16. Reduce 2 feet 6 inches to the decimal of a yard. Ans. ,833333+ 17. Reduce 5fur. 16po. to the decimal of a mile. Ans. ,675 18. Reduce 41 calendar months to the decimal of a Ans. 375 year. |