twenty-eight units and three hundredths, one unit and Ans. 3194.3826. five thousandths. 3. Reduce 5 to the decimal form. Ans. 5.1875. 250 4. Reduce and to decimals having a common denominator. Ans. .680 and .052. 5. From 100 subtract 101 thousandths. Ans. 99.899. 6. From eighteen units and three hundred sixty-five thousandths, take eighteen hundred sixty-five ten-thousandths. Ans. 18.1785. 7. Change .68 to an equivalent common fraction. Ans. 8. Change 5.25 to an equivalent common fraction. Ans. 9. Multiply one hundred units and thirty-seven hundredths by nine tenths. Ans. 900.333. 10. What common fraction is equal to the sum of .125 13. At $1.25 a pair, how many pairs of shoes can be bought with $45? Ans. 36 pairs. 14. If an acre produces 16.25 bushels of wheat, how much will 3.05 acres produce? 15. If $18.5625 is paid for 148.5 yards of calico, how much is paid per yard? $.125. 16. If 3.5 cords of wood cost $22.4, how much will 4.25 cords cost? Ans. $27.20. REVIEW. - What is a Decimal Fraction? (129.) What the Denominator of a Decimal Fraction? (131.) How many decimal figures has the product in Multiplication of Decimals quotient in Division of Decimals? (148.) (147.) The QUESTIONS FOR ANALYSIS. 1. At $2.25 per hundred weight, or cental, what is a load of wheat, weighing 2564 pounds, worth? At SOLUTION.2564 pounds reduced to hundred weight, or centals, by pointing off two orders from the right, is 25.64 centals. $2.25 per cental, 25.64 centals of wheat will be worth 25.64 times $2.25, or $57.69. Therefore, etc. 2. What cost a cargo of corn weighing 156750 pounds, at $1.20 per cental? Ans. $1881. 3. How much must be paid for 11023 pounds of corn, at $1.05 per cental? Ans. 115.74+. 4. At $1.20 per hundred weight, what is the freight on 6545 pounds of glass ware? Ans. $78.54. 5. At $8 per thousand, what cost 19340 bricks? SOLUTION. 19340 reduced to thousands, by pointing off three orders from the right, is 19.34 thousands. At $8 per thousand, 19.34 thousands will cost 19.34 times $8, or $154.72. Therefore, etc. 6. What cost 42555 feet of boards, at $40 per thousand? 7. How much must be paid for 105750 feet of lumber, at $14 a thousand? Ans. $1480.50. 8. At $5 per ton of 2000 pounds, what cost 5460 pounds of coal? SOLUTION. — 5460 pounds is 5.46 thousand pounds, and since 2 thousand pounds make a ton, there must be half as many tons as there are thousand pounds, or 2.73 tons. At $5 per ton, 2.73 tons of coal will cost 2.73 times $5, or $13.65. Therefore, etc. 9. At $25 per ton, what cost 3640 pounds of hay? 10. How much must be paid for 4260 pounds of plaster, at $8 per ton? Ans. $17.04. AVOIRDUPOIS WEIGHT. 151. Avoirdupois Weight is used for nearly all articles estimated by weight, except gold, silver, and jewels. 1 hundred-weight, cwt. 1 ton, T. reckoned a hundred-weight, Formerly 112 pounds were and 2240 pounds a ton, but seldom now, except for coal at the mines, or goods at the United States custom-houses. The dram is used by silk manufacturers. For what is Avoirdupois Weight used? Recite the Table. How many pounds were formerly a hundred-weight? A ton? MENTAL EXERCISES. 1. How many drams in 2 ounces? In 4 ounces? 2. How many ounces in 3 pounds? In 5 pounds? 3. How many pounds in 3 quarters? In 5 quarters? 4. How many quarters in 5 hundred-weight? 5. How many hundred-weight in 2 tons? In 5 tons? 6. How many ounces in 32 drams? In 48 drams? 7. How many pounds in 64 ounces? In 48 ounces? 8. How many pounds in 4 hundred-weight? In 10 hundred-weight? 9. How many hundred-weight in 8 quarters? In 24 quarters? 10. How many tons in 40 hundred-weight? In 80 hundred-weight? TROY WEIGHT. 152. Troy Weight is used for gold, silver, and jewels. Table. 24 grains (gr.) are 1 pennyweight, pwt. 20 pennyweights, 12 ounces, 1 ounce, oz. lb. APOTHECARIES, in mixing medicines, use the pound, ounce (3), and grain, of this weight; but divide the ounce into 8 drams (3), each equal to three scruples (D), cach scruple being equal to 20 grains. A pound Avoirdupois is equal to 7000 grains Troy, and a pound Troy to 5760 grains. For what is Troy Weight used? Recite the Table. What denominations of Troy Weight do apothecaries use? How is the ounce divided by them? How many grains Troy are equal to a pound Avoirdupois? To a pound Troy? 1. How many grains in 2 pennyweights? In 3 pennyweights? In 4 pennyweights? 2. How many pennyweights in 3 ounces? In 5 ounces? In 4 ounces? 3. How many ounces in 4 pounds? In 5 pounds? 4. How many pennyweights in 48 grains? 5. How many pounds in 32 ounces? In 48 ounces? Also, 4 inches are 1 hand; 6 feet 1 fathom; 40 rods 1 furlong; 8 furlongs 1 mile; 3 miles 1 league. How For what is Linear Measure used? Recite the Table. many inches make 1 hand? How many feet 1 fathom? How many miles 1 league? |