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43. How many solid inches in a cord ?
44. How many solid inches in a ton of hewn ti
45. In 468,374 solid inches, how many solid so

46. Ilow many feet of timber in a stick 28 fee 11 inches square ?

47. How many tons of timber in 2 sticks, eac long, 15 inches wide, and 11 inches thick ?

48. A pile of wood 4 feet square and 1 foot long containing 16 solid feet is called I foot of wo many such fcet in a cord ?

49. How many solid feet of wood in a pile 5 fed feet high, and 23 feet long? JIow many feet How many cords?

A few more examples of this kind will be found inals.

DECIMAL FRACTIONS.

XXV. In the following numbers, write the part in the form of decimals.

1. Twenty-seven and six tenths, 2760. A 2. Fourteen and seven hundredths. 1417o.

3. One hundred twenty-three, and eight thoi 123-100

Ans. 4. One hundred and eight, and five tenths. 108 5. Seventy-three, and nine hundredths. 73,80 6. Four, and six thousandths. 41067 7. Sixteen, and one thousandth. 161060 8. Six tenths. 9. Five hundredths. 16o. 10. Seven thousandths. Too 11. Two ten thousandths. Tošot.

12. Three, and four tenths and two hundredths. 375 and

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13. * are how many hundredths ?
14. is and i öv are how many bundredths ?
15. 3
are how

many

thous:indths ? 16. are how

many

thousandths ? 17. To

100

ko and Tooo are how many thousandths ? 18. Write 7,385 in the form of a decimal. 19. io are how many ten-thousandths ? 20. jóo are how many ten-thousandths ? 21. are how many ten-thousandths ?

22. tú, jó do Toc on and tožbo are how many ten-thonsandths ?

23. Write 2.567, in the form of a decimal ?

Write the fractions in the following numbers in the form of decimals.

30. 193-47 25. 21,182 26. 12,5 7.36

32. 95 406 27. 142 3 8 7 46

33. 98-6004
34. 3.0507
35.

To ooo : Change the decimals in the following numbers to common 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.

43. 0.3125. 40. 25.125.

49. .075. 41. 18.625.

50. .00128. 4. 11.8642.

51, .00015. 45. J13.7.164.

52. .000116. 44. 72.0005.

53. .1500699 XXVI. 1. A man purchased a barrel of llour for $7.43.; 5 gallons of molasses for $1.625; 3 gallons of wire 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, 30; the third, 31467; and the fourth, 42587 ?

Note. Write the fractions in the form of decimals.

3. A man bought four loads of hay, the first 17} cwt. ; the second, 191 cwt. ; the third, 24 the fourth, 141 cwt. How many cwt. in the wh

Note. In all the examples under the head o change the fractions and parts to decimals.

4. A man raised wheat in five fields, in the bushels; in the second, 94, ? in the third, 87 fourth, 143,16; and in the fifth 387 bushels. bushels in the whole ?

5. A man bought a load of hay for 6£.; a lo for 76.; 3 bushels of corn for 7£. ; and a loa for 2... How much did the whole come to ?

6. Add together the following numbers, 3844 7006; ; 24995; 8; and 4604.

7. From a piece of cloth containing 473 yara chant sold 23,5. How much remained unsold ?

8. A man owing $253 paid $137.375, how mu then owe?

9. A man owing 342,924. paid 187 15£. H did he then owe ?

10. A merchant sold a barrel of flour for 2 lons of molasses for it.; and 6 gallons of wine In pay

he received a load of wood worth 24 £. an els of whcat, worth 13£. and the rest in money ; F money did he receive ?

11. From 183£. take 875£.
12. From $382 take $48.25.
13. From 11534 lb. take 68411lb.
14. From 37; toris take 287, tons.

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Multiplication of Decimals. XXVII. 1. A man bought 5 barrels of pork, a per barrel ; how much did it come to ?

2. What cost 8 yards of cloth, at $7.875 per ya

3. How many bushels of meal in 14 sacks, ci 487 bushess cach ?

4. How much hay in 8 loads, containing 24.35 C 51 Ilow much cotton in 17 bales, containing 4C

6. How many cwt. of hay in 14 loads, containi cut. each ?

8

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 .00:38 by 9. 13. If a barrel of flour cost $5, what cost .fi of a bai rel? 14. At $90 per hhd., what cost .7 hhd., that is, io of a hdd. ?

15. At $45 per hhd., what cost .8 hhd., that is, te of a hhd. of gin?

16. At $20 per hhd., what cost 2.9 hhds., that is 2 10 hhds. of molasses ?

17. At $25 per ton, what cost 7.6 tons of hay ?
18. A: $95 per ton, what cosi 3.7 tous 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 2437 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 10:372 by 61=6.5. 33. Multiply 468 by 7147.25. 34. Multiply 46800 by 13%. 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 jaglasses ?

38. What is .2 of .3, that is x 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 Ib., 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 potas

48. If an orange is worth $.06, what is .3 of an o worth ?

49. If a bale of cotton contains 4.37 cwt., what is .4 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. Mcitipy .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.

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Miscellaneous Examples. 1. At $12 per cwt. what cost 5 cwt. 3 qrs. of sugar Note. 5 cwt. 3 qrs. is 5cwt., that is 5.75 cwt.

2. At $25 per cwt., what cost 37 cwt. 3 qrs. 14 lb. oacco ?

Note. The quarters and pounds may first be reduc a common fraction and then to decinials. 3 qrs. 14 IL 98 }b., that is go of 1 cwt., and 18.875; therefor cwt. 3 qrs. 14 lb. is equal to 37.875 cwt. ; this multipli 25 gives $946.875.

3. What cost 5 cwt. 2 qrs. 19 lb. of raisins, at $1 cwt. ?

4. What cost 13 cwt. I qr. 15 lb. of iron, at $4.2 cwt. ?

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