measure. 8. Reduce 39 feet 1727 inches to the decimal of a ton of round timber. Ans, :9999+. 9. Reduce 1 pk. 2 qts. 1 pt. to the decimal of a chaldron. Ans. 00011 10. Reduce 12 months, 3 weeks, 6 days, 23 hours, 59 minutes, 12 seconds, to the decimal of a year. Ans. •99997 11. Reduce 2 minutes to the decimal of of a month, allowing 28 days to a month: Ans. 000047. 12. Reduce 1 pint to the decimal of a hhd. wine Ans. .00197. 13. Reduce 1 week to the decimal of a year, allowing 13 months to a year. Ans. .01923+. 14. Reduce i ininute to the decimal of a year, allow. ing 360 days to a year. Ans. .0000011 15. Reduce 1 dram to the decimal of a ton, Avoirdupois weight Ans. •000001t. denoninations of the integer. Examples. 1. Required the value of .0527 of a lb, Troy weight. H. 0527 12 2. Required the value of 5526 of a lb. Troy weight. Ans. 6 oz. 12 pwt. 14+ grs. 3. What is the value of •1432 of a ton ? Ans. 2 cwt. 3 qr. 12 lb. 12 oz. 41 dr. 4. What is the value of 9017 of a lb. Apothecaries' veight? Ans. 10 oz. 6 dr. l'sc. 137 grs. 5. What is the value of •9376 of a yard, Cloth measure ? Ans. 3 qr. 3t na. 6. What is the value of .9436 of a league, Long measure ? Ans. 2 mi. 6 fur. 25 rds. 4 yds. 2 ft. 17 in. 7. What is the value of .9436 of an acre, Land measure? Ans. 150f rods. 8. What is the value of .9999 of a ton of round timber? Ans. 39 ft. •17217 in. 9. What is the value of .0099 of a chaldron ? Ans. 1 pk. 3 qts. 10. What is the value of .0002 of a month, alTowing 28 days to a month? Ans. 8 min. 37 sec. and 2 the ta lot ONC fou de COMPOUND MULTIPLICATION. DEFINITION.-Compound Multiplication is a rule much used in business ; and teaches, by having the price of one article given, to find the price of any number of the like kind. Case I. When the quantity is whole numbers. RULE.--Multiply the price and quantity together the product is the answer ; if there are dimes, cents and mills in the price, point off for decimals according to the rule of multiplication of decimals. Examples. 1. How much will 1000 lbs, of butter come to at 11. cts. 5 mills per pound? 1000 lbs. X. 115=$115.000 Ans. Note. In this example 11 cents and 5 mills are exactly equal to 115 thousandths of a dollar; therefore, I multiplied the price by the quantity, the product was 15000; and according to the rule in the multiplication of decimals I pointed off three figures from the right or decimals, the rest were dollars. 2. How much will 349 pounds of pork come to at •07 cents per pound? Ans. 24 dolls. 43 cents.' 3. How much will an ox come to, whose weight and i prices are as follows, viz.-The quarters 205.5, 202, 207 and 200 lbs. at :06 cents ; the hide 70 lbs, at :07 cents; the tallow 66 lbs. at .09 cents lb. Ans. 59 dolls. 71 cts, O m. 4. A drover sold 100-lambs in 5 separate lots, 20 to a lot; the first lot was sold for $1.96 cents each; the ond for 81.90 cents; the third for $2.05 cents ; the fourth for $2.10 cents; and the fifth at $2.15 cents : I demand the price of the whole. Ans. $203.20 cts. sec. CC on Received payment by note, payable in 90 days. Signed G. H. en CASE II. When there are fractions in the quantity such as 1135, &c. RULE.--Reduce the vulgar fraction to a decimal, then multiply the quantity and price together, point off for decimals according to rule ; all that are the left of the separatrix are dollars, and all on the right are parts, yiz. diin es, cents, and mills. Examples. 1. What will 102. yards of India cotton come to at •29 cents per yard? Yds. Cts. Dolls. cts. m. 75. then 102.75 X 295 29.79.7.5. Ans. NOTE.—In this example reduced to a decimal, gave two decimal places in the quantity, and there were two decimal places in the price; of course there were four places of decimals in the product; the three first-figures in decimals, are cents and mills, and the other is parts of a mill , which in business is not worth noticing 1 1 CI 0 2. What will 21, yards of velvet come to, if 1 dollar 25 cents are paid for 1 yard ? Ans. $26.87 cts, 5 m. .5 3. What will 619 of a yard of broadcloth came to at 6 dollars 75 cts. per yard ? Ans. $45.56 cts. 21 m. CASE III. When there are several denominations in the quantity. RULE.- Reduce the several denominations to the decimal of the highest, by case 2, in reduction of decimals; then multiply the price and quantity together, point for decimals according to rule ; the "answer will be dolls. cts. and m. and parts of m.. Examples 1. How much will -3 cwt. 2 Gr. 20 lbs. of sugar come to at $12.10 cts. per cwt. ?! 28 20-00018. 2.7141 cwt. 3•678 X12.10844 50 cts. 3m. Ans. NOTE.—2 qr. 20 lb, reduced to the decimal of a cwt. is equal to 678 thousandths, which I annexed to the hundreds, and inultiplied by the price. 2. How much' will 173 cwt. 3. qr. 27 lb. of iroo come to, at $5.51 cts. per cwt. ? Ans. $958.697 cts. 3. How much will 356 acres, 1 rood, and 7 rods of land come to, at $17.21 cts. per acre? Ans. $6134-80 cts. 27 m. |