12. Three, and four tenths and two hundredths. 3, 4, and 3 Το 8 17. 3 17 24. 13:00 13. * are how many hundredths ? many thousandths ? 16. are how 107 many thousandths ? and do and Too are how many thousandths ? 18. Write 7380 in the form of a decimal. 19. ho are how many ten-thousandths ? 20. ibo are how many ten-thousandths ? 21. Totoo are how many ten-thousandths ? 22. Mo, Tor Toro, and totoo are how many ten-thousandths ? 23. Write 2.567 in the form of a decimal ? Write the fractions in the following numbers in the form of decimals. 30. 193747 25. 21 182 31. 87-106 32. 95,40 62 27. 142 38 746 33. 98-6004 100000 1000000 28. 143 100000 29. 176726 35. Toooo Change the decimals in the following numbers to com mon fractions and reduce them to their lowest terms. 36. 42.5. 45. 4.00025. 37. 84.25. 46. 13.0060058. 38. 9.8. 47. 0.75. 39. 137.16. 48. 0.3125. 40. 25.125. 49. .075. 41. 18.625. 50. .00128. 42. 11.8642. 51. .00015. 43. 163.90064. 52. .000106. 44. 72.0065. 53. .1500685. 1000 ° 34. 30 507 807 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 gailons of vinegar for $0.42. What did the whole amount to ? 2. How many bushels of corn in 4 bags, the first containing 21bushels; the second, 38; the third, 3.117; and the fourth, 42876? Nore. Wrisce actions in the form of decimals. 3. A man bought four loads of hay, the first containing 17} cwt. ; the second, 191 cwt. ; the third, 24 cwt.; and. the fourth, 141 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, 471 bushels; in the second, 94, ? in the third, 8741; in the fourth, 14345; and in the fifth 387 bushels. How many bushels in the whole ? 5. A man bought a load of hay for 643£.; a load of oats for 7274.; 3 bushels of corn for 27£.; and a load of wood for 25. How much did the whole come to ? 6. Add together the following numbers, 3815; 1336,15; 7006; 155; 2005; 8; and 460%}.. 7. From a piece of cloth con.e ning 47; yards, a merchant sold 23,5. How much ratu ined unsold ? . A man owing $253 paid $187.375, how much did he then owe ? 9. A man owing 342024. £. paid 187 i5£. How much did he then owe ? 10. A merchant sold a barrel of flour for 2£.; 5 gallons of molasses for i. £.; and 6 gallons of wine for 21. In pay he received a load of wood worth 214€. and 2 bushels of wheat, worth 13 €. and the rest in money; how much money did he receive ? 11. From 1894 £. take 87. per yard ? 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 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 4 cwt. each? 6. How many cwt. of hay in 14 loads, containing 23.25 cwt. each ? 7. Multiply 42.62 by 33. 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, To of a hdd. ? 15. At $45 per hhd., what cost .8 hhd., that is, is of a hhd. of gin? 16. At $20 per hhd., what cost 2.9 hhds., that is 20 hhds. 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 zo ? 39. Multiply .3 by .2. 40. At $.90 per gallon, what cost .4 of a gal. of wine ? 41. At $.25 per Ib. 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 14 bbls. of pork ? 46. At $25.45 per ton, what cost 18 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. Miscellaneous Examples. 1. At $12 per cwt. what cost 5 cwt. 3 qrs. of sugar ? Note. 5 cwt. 3 qrs. is 52 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 in 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. 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, al $4.27 per cwt. ? Note. 13 cwt. I qr. 15 lb.=13,112 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. O 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 3hhds. ; 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. O 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. O 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 Ib. 13 oz. of sugar, at $0.12 per lb. ? 15. What cost 23/b. 7 oz. of sugar, at $11.43 per cwt. ? 16. What cost 11 gals. 2 qts. of brandy, at the rate of $93.48 per hhd. ? 17. What cost 17 yds. 3 qrs. 2 nls. of broadcloth, at $7.25 per yard ? Fard ? 18. What cost 2 qrs. 3 nls. of broadclo:h, at $6.42 per Express the fractions in the following examples in deci mals. 19. What part of 1 yd. is 3 qrs. 2 nls. ? |