43. How many solid inches in a cord? 1 ton or load 44. How many solid inches in a ton of hewn timber? 46. How many feet of timber in a stick 28 feet long and 11 inches square? 47. How many tons of timber in 2 sticks, each 25 feet long, 15 inches wide, and 11 inches thick? 48. A pile of wood 4 feet square and 1 foot long, or a pile containing 16 solid feet is called 1 foot of wood. How many such feet in a cord? 49. How many solid feet of wood in a pile 5 feet wide, 3 feet high, and 23 feet long? How many feet of wood? How many cords? A few more examples of this kind will be found in decimals. DECIMAL FRACTIONS. XXV. IN the following numbers, write the fractional part in the form of decimals. 1. Twenty-seven and six tenths, 27. Ans. 27.6. Ans. 14.07. 3. One hundred twenty-three, and eight thousandths. 8 123 1000 Ans. 123.008. 4. One hundred and eight, and five tenths. 108. 6. Four, and six thousandths. 41000· 7. Sixteen, and one thousandth. 16,000. 8. Six tenths. 1. 9. Five hundredths. 150. 10. Seven thousandths. 70. 11. Two ten thousandths. 1000. 12. Three, and four tenths and two hundredths. 3 and 13. 14. 15. 3 are how many hundredths? and are how many hundredths? many thousandths? 17.3 and 8 and 10 are how many thousandths? 18. Write 7; in the form of a decimal. 19. are how many ten-thousandths ? 20. are how many ten-thousandths? 21. 6. 22. 70, 150, 100, and 13。。 are how many ten-thon sandths? 23. Write 2567 in the form of a decimal ? 10030 Write the fractions in the following numbers in the form of decimals. 100 24. 13,23. 25. 21182 1000 26. 12,5 5736 10000 27. 142 387 46 43 28. 18 100000 29. 17 573 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 gailons of vinegar for $0.42. What did the whole amount to ? 2. How many bushels of corn in 4 bags, the first containing 2 bushels; the second, 38; the third, 34; and the fourth, 4287 ? 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, 94,8? in the third, 871; in the fourth, 1431; 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 17.; and a load of wood for 2. How much did the whole come to? 40 6. Add together the following numbers, 384; 1386,,; 7006; 230; 21; 8; and 460}. 97 406 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 3426. paid 187. How much did he then owe? 10. A merchant sold a barrel of flour for 2£.; 5 gallons of molasses for £.; and 6 gallons of wine for 21. load of wood worth 24£. and 2 bush£. and the rest in money; how much In pay he received a els of wheat, worth money did he receive? 11. From 1833£. take 875£. XXVII. Multiplication of Decimals. 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 cach? 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 38. 13. If a barrel of flour cost $5, what cost .6 of a barel? 14. At $90 per hhd., what cost .7 hhd., that is, of a of a hdd. ? 15. At $45 per hhd., what cost .8 hhd., that is, hhd. of gin? 16. At $20 per hhd., what cost 2.9 hhds., that is 2 of molasses? hhds. 17. At $25 per ton, what cost 7.6 tons of hay? 22. At $45 per thousand, what cost 2.5 thousands of staves? 23. What is .5 of 128? 24. What is .25 of 856? 25. What is .125 of 856? 26. What is .287 of 2487? 27. Multiply 2487 by .287. 28. Multiply 4306 by 3.5. 29. Multiply 87 by 2.8. 30. Multiply 1864 by 3.25. 31. Multiply 30067 by 1.3873 32. Multiply 10372 by 61=6.5. 33. Multiply 468 by 71-7.25. 34. Multiply 46800 by 133. 35. Multiply 36038 by 13. 36. Multiply 130407 by 5. 37. At .3 of a dollar a gallon, what cost .2 of a gallon of Inolasses ? 38. What is .2 of .3, that is 39. Multiply .3 by .2. off? 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 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. 51. Multiply 13.43 by 1.4. 52. Multiply 43.25 by .8. 53. Multiply 284.43 by 1.02. 54. Multiply 18.325 by 1.38. 55. Multiply 6.4864 by 2.03. 56. Multiply 14.00543 by .5. 57. Multiply 3.400702 by 1.003. 58. Multiply 1.006 by .002. 59. Multiply 1.0007 by .0003. 60. Multiply .3 by .2. 61. Multiply .04 by .2. 62. Multiply .003 by .01. 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 to Dacco ? 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 of 1 cwt., and 9.875; 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, at $4.27 per cwt.? |