Change the decimals in the following numbers to common fractions and reduce them to their lowest 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 lb. of sugar for $0.95; and 3 gallons of vinegar for $0.42. What did the whole amount to? 28 2. How many bushels of corn in 4 bags, the first containing 2 bushels; the second, 3,2; the third, 3; and the fourth 4,287 ? 42 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, 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, 874; 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 77£.; 3 bushels of corn for 17.; and a load of wood for 2£. How much did the whole come to ? 6. Add together the following numbers, 384; 1386; 7006; 20; 21; 8; and 4603. 97 406 7. From a piece of cloth containing 47 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 3424. paid 1874. How much did he then owe? 5 10. A merchant sold a barrel of flour for 241⁄2£.; 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 £. and the rest in money; how much money did he receive? 11. From 1833£. take 87£.. 12. From $382 take $48.25. 13. From 11532 lb. take 684 lb. 14. From 37 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, containg 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, of a hhd.? 15. At $45 per hhd., what cost .8 hhd., that is of a hhd. of gin? 16. At $20 per hhd., what cost 2.9 hhds., that is 2% 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? 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 616.5. 33. Multiply 468 by 717.25. 34. Multiply 46800 by 132. 35. Multiply 36038 by 13. 36. Multiply 130407 by 5. 37. At .3 of a dollar a gallon, lon of molasses ? 38. What is .2 of .3, that is what cost .2 of a of 1% 3 ? gal 39. Multiply .3 by .2. 40. At $.90 a gallon, what cost .4 of a gal. of wine? 41. At $.25 per lb. what cost 2.8 lb. of butter? 42. A $.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. 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? 3 98 Note. The quarters and pounds may first be reduced to a common fraction and then to decimals. qrs. 14 lb. are 98 lb., that is, 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. ΤΙΣ 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. = 13,43 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 33 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. |