44. How many solid inches in a ton of hewn timber? 45. In 468,374 solid inches, how many solid feet? 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-seyen and six tenths, 27. Ans. 27.6. Ans. 14.07. 3. One hundred twenty-three, and eight thousandths. 8 123 7000 Ans. 123.008. 4. One hundred and eight, and five tenths. 108, 6. Four, and six thousandths. 4,‰· 7. Sixteen, and one thousandth. 161000 8. Six tenths. 9. Five hundredths. 10 10. Seven thousandths. T 11. Two ten thousandths. Tooō• 2 12. Three, and four tenths and two hundredths. 3 and 13. ΤΟ are how many hundredths? 14. and are how many hundredths? are how many thousandths? 15. 3 10 16. 8 are how 17. 3 many thousandths! 8 100 and 1000 are how many thousandths? 18. Write 7385 in the form of a decimal. 1000 19. are how many ten-thousandths? 20. are how many ten-thousandths ? 21. 6 Toʊʊ are how many ten-thousandths ? 22. 70, 150, To‰0, and 100 are how many ten-thou sandths? 23. Write 2567 in the form of a decimal ? 10030 Write the fractions in the following numbers in the form 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 ? 2. How many bushels of corn in 4 bags, the first containing 2, bushels; the second, 3,2; the third, 3168; and the fourth, 40? 87 Note. Write the fractions in the form of decimals. 3. A man bought four loads of hay, the first containing 17 cwt.; the second, 194 cwt.; the third, 245 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, 47% bushels; in the second, 94, in the third, 8715; 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 77.; 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; 29;406; 8; and 4603. 97 7. From a piece of cloth con..'ning 473 yards, a merchant sold 23. How much "en" ined unsold ? A man owing $253 paid $187.375, how much did he then owe? 9. A man owing 342,64. paid 187. How much did he then owe? 10. A merchant sold a barrel of flour for 25.; 5 gallons of molasses for £.; and 6 gallons of wine for 21. In pay he received a load of wood worth 24£. and 2 bushels of wheat, worth 13. and the rest in money; how much money did he receive? 11. From 1833£. take 875£. 12. From $382 take $48.25. 14. From 37% tors take 28 tons. Multiplication of Decimals. XXVH. 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 bay 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. 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, 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? 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. 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 9 lb., that is 9 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. ? |