12. Three, and four tenths and two hundredths. 3 and 16. 8 are how many thousandths? thousandths? 100 17.3 and 8 and 10% are how many thousandths ? 18. Write in the form of a decimal. 19. are how many ten-thousandths? 20. 5 are how many ten-thousandths? 100 21. 6 22. 1000 sandths? are how many ten-thousandths? õi Tõõō, and Tōōō are how many ten-thou 23. Write 2567 in the form of a decimal ? 10030 Write the fractions in the following numbers in the form 10000 Change the decimals in the following numbers to common fractions and reduce them to their lowest terms. XXVI. 1. A man purchased a barrel of flour for $7.43.; 5 gallons of molasses for $1.625; 3 gallons of wine for $4.87; 4 gallons of brandy for $7; 7 lbs. of sugar for $0.95; and 3 gallons of vinegar for $0.42. What did the whole amount to? 42 2. How many bushels of corn in 4 bags, the first containing 2 bushels; the second, 38; the third, 313; and the fourth, 47% ? 1 1000 Note. Write the fractions in the form of decimals. 3. A man bought four loads of hay, the first containing 173 cwt.; the second, 194 cwt.; the third, 24 cwt.; and the fourth, 14 cwt. How many cwt. in the whole ? Note. In all the examples under the head of decimals, change the fractions and parts to decimals. 4. A man raised wheat in five fields, in the first, 47% bushels; in the second, 94, in the third, 871; in the fourth, 143; and in the fifth 387 bushels. How many bushels in the whole ? 5. A man bought a load of hay for 6£.; a load of oats for 7.; 3 bushels of corn for 7£.; and a load of wood for 2. How much did the whole come to? 6. Add together the following numbers, 38; 1386; 7006; 2; 40; 8; and 460. 97 7. From a piece of cloth containing 473 yards, a merchant sold 23. How much remained unsold? 8. A man owing $253 paid $187.375, how much did he then owe? 9. A man owing 34264. paid 187. How much did he then owe? 10. A merchant sold a barrel of flour for 25£.; 5 gallons of molasses for 1.; and 6 gallons of wine for 21. In pay he received a load of wood worth 24£. and 2 bushels of wheat, worth £. and the rest in money; how much money did he receive? 11. From 183 £. take 87%£. 12. From $382 take $48.25. 13. From 11534 lb. take 684lb. 14. From 373 tons take 28 tons. Multiplication of Decimals. XXVII. 1. A man bought 5 barrels of pork, at $17.43 per barrel; how much did it come to? 2. What cost 8 yards of cloth, at $7.875 per yard? 3. How many bushels of meal in 14 sacks, containing 4.37 bushels each ? 4. How much hay in 8 loads, containing 24.35 cwt. each ? 5. How much cotton in 17 bales, containing 43 cwt. each? 6. How many cwt. of hay in 14 loads, containing 23.25 cwt. each? 7. Multiply 42.62 by 38. 8. Multiply 137.583 by 17. 9. Multiply 13.946 by 58. 10. Multiply 2.5837 by 15. 11. Multiply .464 by 27. 12. Multiply .0038 by 9. 13. If a barrel of flour cost $5, what cost .6 of a barrel ? 14. At $90 per hhd., what cost .7 hhd., that is, hdd.? 15. At $45 per hhd., what cost .8 hhd., that is, hhd. of gin? of a 16. At $20 per hhd., what cost 2.9 hhds., that is 2hhds. of molasses? 17. At $25 per ton, what cost 7.6 tons of hay? 18. At $95 per ton, what cost 3.7 tons of iron? 19. At $32 per ton, what cost 14.25 tons of logwood? 20. At $220 per ton, what cost 19.47 tons of hemp? 21. At $57 per ton, what cost 3.5 tons of alum? 22. At $45 per thousand, what cost 2.5 thousands of staves? 23. What is .5 of 128 ? 37. At .3 of a dollar a gallon, what cost .2 of a gallon of molasses? 38. What is .2 of .3, that is of 3 ? 39. Multiply .3 by .2. . . 40. At $.90 per gallon, what cost .4 of a gal. of wine? 41. At $.25 per lb. what cost 2.8 lb. of butter? 42. At $.36 per lb., what cost 4.5 lb. of sperm candles? 43. At $.47 per piece, what cost 4.3 pieces of nankin ? 44. At $5.37 per yard, what cost 7.4 yards of cloth? 45. At $13.50 per bbl., what cost 143 bbls. of pork? 46. At $25.45 per ton, what cost 185 tons of hay? 47. At $140.50 per ton, what cost 13 tons of potashes? 48. If an orange is worth $.06, what is .3 of an orange worth? 49. If a bale of cotton contains 4.37 cwt., what is .45 of a bale ? 50. Multiply 4.5 by 2.3. 63. Multiply .0004 by .025. 64. Multiply .0107 by .00103. 65. Multiply 1.340068 by 1.003084. Miscellaneous Examples. 1. At $12 per cwt. what cost 5 cwt. 3 qrs. of sugar ? Note. 5 cwt. 3 qrs. is 53 cwt., that is 5.75 cwt. 2. At $25 per cwt., what cost 37 cwt. 3 qrs. 14 lb. of tobacco ? Note. The quarters and pounds may first be reduced to a common fraction and then to decimals. 3 qrs. 14 lb. are 98 lb., that is 9 of 1 cwt., and 98.875; therefore, 37 cwt. 3 qrs. 14 lb. is equal to 37.875 cwt.; this multiplied by 25 gives $946.875. 112 3. What cost 5 cwt. 2 qrs. 19 lb. of raisins, at $11 per cwt. ? 4. What cost 13 cwt. 1 qr. 15 lb. of iron, at $4.27 per cwt.? Note. 13 cwt. 1 qr. 15 lb.=132 cwt.=13.383+cwt. This multiplied by $4.27 gives $57.14541. Observe, that there must be as many decimal places in the product as in the multiplicand and multiplier together. In this instance there are five places. It is not necessary to notice any thing smaller than mills in the result, therefore $57.145 will be sufficiently exact for the answer. 5. What cost 12 cwt. 0 qrs. 19 lb. of rice, at $3.28 per cwt. ? 6. What cost 13 cwt. 2 qrs. 4 lb. of hops, at $5.75 per cwt. 7. What cost 3 hhds. 43 gal. of wine, at $98 per hhd. ? Note. 3 hhds. 43 gal. is 343 hhds.; this reduced to a decimal is 3.683 hhds., nearly. 8. What cost 17 hhds. 18 gal. of molasses, at $23.25 per hhd. ? 9. What cost 13 hhds. 53 gal. of gin, at $47.375 per hhd. ? 10. What cost 4 hhds. 27 gal. 3 qts. of brandy, at $108.42 per hhd.? 11. Express in decimals of an cwt. the quarters, pounds and ounces in the following numbers :-3 cwt. 2 qrs. 22 lb. ; 17 cwt. 1 qr. 11 lb. 5 oz.; 4 cwt. 0 qr. 16 lb. 3 oz. 12. Express in decimals of a hogshead the gallons, quarts, pints, &c. in the following numbers :-43 hhds. 17 gal. 2 qts; 14 gal. 6 qts. 1 pt. ; 7 hhds. 0 gal. 3 qts. 1 pt. 13. What cost 8 gal. 3 qts. 1 pt. of gin, at $0.43 per gal. ? 14. What cost 17 lb. 13 oz. of sugar, at $0.12 per lb. ? 15. What cost 23lb. 7 oz. of sugar, at $11.43 per cwt.? 16. What cost 11 gals. 2 qts. of brandy, at the rate of $98.48 per hhd. ? 17. What cost 17 yds. 3 qrs. 2 nls. of broadcloth, at $7.25 per yard? 18. What cost 2 qrs. 3 nls. of broadcloth, at $6.42 per yard? Express the fractions in the following examples in decimals. 19. What part of 1 yd. is 3 qrs. 2 nls. ? 23. What part of 1 qr. is 13 lb. 5 oz. ? |