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, 8711⁄2; in the fourth, 143; and in the fifth 387 bushels. How many

bushels in the whole ?

25

5. A man bought a load of hay for 64.; 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?

6. Add together the following numbers, 384; 1386; 406 ; 8; and 46043.

7006; 20; 2875 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 3424. 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 219. 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 11534 lb. take 684-5lb.

14. From 37% tons take 287 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,

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 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 ?
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 646.5.
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 molasses?

38. What is .2 of .3, that is of ?

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 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 14.00643 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 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 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. ?

Note. 13 cwt. 1 qr. 15 lb. 133 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 231b. 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. ?
20. What part of 1 yard is 1 qr. 3 nls. ?
21. What part of 1 lb. Avoirdupois is 13 oz.?
22. What part of 1 qr. is 17 lb. ?

23. What part of 1 qr. is 13 lb. 5 oz. ?

24. What part of a day is 6 hours?

25. What part of a day is 16 h. 25 min. ?

26. What part of a day is 13 h. 42 min. 11 sec.? 27. What part of an hour is 47 min. ?

28. What part of an hour is 38 min. 47 sec.? 29. What part of a rod is 13 ft. ?

30. What part of 1 ft. is 2 in. ?

31. What part of 1 ft. is 7 in.?

32. What part of a rod is 7 ft. 4 in. ?
33. What part of a mile is 7 rods, 13 ft. ?
34. What part of 1£. is 13s. 6d. ?

35. What part of Is. is 5d. 1

qr ?

36. What part of 1£. is 11s. 5d. 3 qr.?

37. At 2£. 5s. per cwt., what cost 5 cwt. 3 qrs. of rai

sins?

Note. 2£. 5s.=2.25£., and 5 cwt. 3 qrs.=5.75 cwt. Multiplying these together, the result is 12.9375£. The decimal part of this result may be changed to shillings and pence again. .9375£. is .9375 of 20 shillings; therefore if we multiply 20 shillings by .9375, or, which is the same thing, if we multiply .9375 by 20, we shall obtain the answer in shillings and parts of a shilling. This is evident also from another course of reasoning. .9375£. is now in pounds; if it be multiplied by 20 it will be reduced to shillings.

.9375
20

18.7500

The result is 18 shillings and .75 of a shilling, which may in like manner be reduced to pence by multiplying it by 12.

.75

12

9.00

is 12£. 18s. 9d.

The result is 9d." The answer, therefore,

38. What cost 3 cwt. 2 qrs. 7 lb. of hops, at 2£. 3s. 6d. per cwt. ?

39. What cost 17 yds. 2 qrs. 2 nls. of broadcloth, at 2. 5s. 7d. per yard?

40. What cost 8 cwt. 1 qr. 13 lb. of wool, at 3£. 7s. 6d. per cwt. ?

41. What cost 3 hhds. 43 gals. of wine, at 32£. 14s. 8d. per hhd. ?