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Example. Bring 2cwt. to drams.

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=

1 cwt,

Explanation: First multiply the 2cwt.
by 4, and this will reduce it to quar-
ters, because 4 quarters
then multiply the quarters by 28, and
this will reduce it to pounds, because
28 lb. 1. qr.; then multiply by 16
which will reduce it to ounces
because 16 ounces = 1 lb.; then
multiply the ounces by 16, which
will reduce it to drams; because 16
drams
1 ounce, &c. Then to
prove it, take the sum of the drams,
and divide by the same denomina-
tions by which you multiplied, and
this will bring back the 2 cwt.

16)57344 drams=3584 oz.

Ascending.

16)3584 ounces.

28)224 pounds.

4)8 quarters.

2 cwt. proof.

Bring 1 year to seconds.

Thus; 1 year 365 days.

4

1460

6

Ans. 31536000*

4×6=24 hours=1 day.

8760 hours.

60 minutes 1 hour.

525600 minutes.

60 seconds 1 minute.

6,0)3153600,0 seconds. Ans.

6,0)52560,0 minutes.

6)8760 hours.

4)1460(365 days=1 year. procf.

Avoirdupois Weight.

1. In 120 pounds, how many ounces?
2. Bring 1 cwt. to ounces.
3. Bring 10 cwt. to ounces.
4. Bring 1284 ounces to pounds.
5. Bring 1642 quarters to cwts.
6. Bring 184 drams to ounces.
7. Bring 1674 drams to pounds.
8. Bring 1 ton to drams.

Troy Weight.

9. Reduce 15 lbs. to ounces. 10. Bring 20 lbs. to grains. 11. Bring 35 ounces to grains. 12. Bring 1476 ounces to pounds. 13. Bring 34 lbs. to ounces. 14. Bring 97 lbs. to grains. 15. Bring 1796 grains to ounces. 16. Bring 1100 ounces to pounds.

Apothecaries' Weight.

17. Bring 72 ounces to drams.
18. Bring 10 pounds to grains.
19. Bring 17 pounds to ounces.
20. Bring 57 ounces to scruples.
21. Bring 27 drame to grains.
22. Bring 480 scruples to pounds.

Long Measure.

Ans. 1920 1792 17,920. 80 lbs. 4 oz.

Ans. 180.
115200.
16800.
123.

408

Ans. 576.
57600.

204.

1368.

1620.

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31. Bring 144 quarters to nails.

Land or Square Measure.

32. Bring 18 roods to poles.

Ans. 120.

1221.

4800.

972.

Ans. 20.

160.

288.

Ans. 720

t

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69. Bring 4 signs to seconds.

70. Bring 7 hogsheads to gallons.
71. Bring 27 barrels to pints.
72. Bring 8 miles to yards
73. Bring 60 poles to inches.
74. Bring 1478 pints to gallons.
75. Bring 7644 inches to yards.
76. Bring 82800 seconds to hours.
77. Bring 2764 ounces to cwt.
78. Bring 87960 hours to weeks.

79. Bring 116424 cubic inches to tons.

Ans. 432000

80. Bring 4014489600 square inches to square acres.

SHORT PRACTICAL EXAMPLES,

TO REDUCTION AND DECIMALS.

3. What cost 15lbs. at 16c.

APPLICABLE

1. What cost 4lbs. sugar

at 12c. per pound?

per pound?

12

161

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Ans. D11.25.
D16.25.

5. What cost 5 yards at D2.25 per yard?
6. What cost 6 yards at D2.50 per yard?
7. What cost 51 lbs. at 12 c. per pound?
8. What cost 25 lbs. at 17c. per pound?
9. What cost 7 galls. 3 qts. at 624c. per gall.?
10. What cost 2 qts. 1 pt. at 17c. per quart?
11. What cost 2 cwt. at D4.50 per cwt.?
12. What cost 5 cwt. I qr. 14 lbs. at D5 per cwt.?
13. What cost 63 cwt. 7 lbs. at D4.50 per cwt.?

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Ans. D72.75

D6.121 D15.93 D15.45. D2.183. D1.12

.45.8.

D1.561.

D2.39.06.

14. What cost 97 lbs. at 75c. per lb. ? 15. What cost 49 lbs. at 12 c. per lb.? 16. What cost 42 lbs. at 371c. per lb. ? 17. What cost 6.87 lbs. indigo at D2.25 per lb. ? 18. What cost 12 bushels at D1.25 per bushel? 19. What cost 3 pecks at D1.50 per bushel? 20. What cost bushel at D1.37 per bushel? 21. What cost I peck clover-seed at D6.25 per bush.? 22. What cost 2 galls. 1 pt. at D1.12 per gall.? 23. What cost 1 tons of hay at D17.50 per ton? 24. What will 1 cwt. 1 qr. cost at 6c. per lb. ? 25. What will 2 cwt. 17 lbs. cost at 6.5c. per lb.? 26. What will 1 bush. 3 pecks cost at 7c. per qt. ? 27. What will 1 cwt. 12 lbs. cost at 24c. per oz.? 28. What will 1 cwt. cost at 3c. per dram? 29. If of a yard cost of a D., how much will 17 yds. cost? 30. If D. will pay for of a yard of riband, how many yards can you buy for D4? for D12? for D20? for D26?

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REVIEW.

D26.25. D8.40. D15.66.5. D3.92.

D49.60. D1003.52.

What When is

When is

What things are weighed by Avoirdupois Weight? What are the denominations? Repeat the table. How do they weigh in the principal cities? Ans. By the 100 lbs. is the use of Troy Weight? Repeat the table. Apothecaries' Weight used, and for what purpose? Long Measure used? What are the denominations? Repeat the tables, &c. For what is Land Measure used? What is a square? Ans. A figure bounded by four equal sides, or lines, and whose angles are all equal, or right angles. What is a square number? Ans. Any number multiplied into itself, as 4x4-16, &c. How can you find the number of small squares contained in a large square? What chain is used in surveying land? How long is it? How is land generally estimated? When is Solid or Cubic Measure used? What are the denom

inations? How many inches in a cubic foot? How many feet in a cord of wood? in a quarter of a cord? How many cubic inches in a gallon? What are the dimensions of a bushel? Time. Repeat the table. Which of the months have 30 days, and which 31 days? For what is Circular Measure used? How many things make a dozen ? How many make a score. How many sheets make a quire of paper? How many quires make a ream? How many sheets are there in 17 reams? How many kinds of Reduction are there? What are they called? For what purpose is Reduction used? What is Simple Reduc

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