800. The initials of the denomination may be placed either before or after the quantity, though they are most frequently placed after it; thus, 27 grams may be written A27, or 276.

EXERCISES IN NUMERATION.

1. Read 48.05M.

SOLUTION.-This is read 48 and 5 hundredths meters; or it may be read 4 decameters, 8 meters and 5 centimeters.

EXERCISES IN NOTATION.

1. Write 6 meters and 5 centimeters. SOLUTION.-We write the 6 meters with a decimal point to the right, and then, since there are no decimeters, we write a naught in the tenths place, and then write the 5 centimeters in the place of centimeters.

OPERATION.

6.05M

2. Write 17 meters, 4 decimeters, 8 centimeters.
3. Write 7 decameters, 2 decimeters, 5 centimeters.
4. Write 15 ares, 9 deciares, 8 milliares.

5. Write 4 hectares, 8 ares, 5 centiares.

6. Write 12 decasteres, 6 decisteres, 8 centisteres. 7. Write 9 kilosteres, 7 decasteres, 5 centisteres.

8. Write 3 hectoliters, 8 liters, 7 deciliters.

9. Write 16 grams, 4 decigrams, 8 centigrams.

10. Write 8 myriagrams, 7 hectograms, 6 centigrams, and 5 milligrams.

REDUCTION OF THE METRIC SYSTEM
TO THE COMMON SYSTEM.

MEASURES OF VALUE.

1. How many dollars in 25 francs?
2. How many dollars in 47.50 francs?

3. How many francs in $15.50?

4. How many francs in $37.75?

Ans. $4.825.

Ans. $9.164. Ans. 80.31 fr.

Ans. 195.595 fr.

MEASURES OF WEIGHT.

5. How many grains in 12 grams? 6. Pounds Troy, in 480.5 grams?

Ans. 185.184 gr.

Ans. 1 lb. 3 oz. 8 pwt. 231% gr.

7. Pounds Av., in 976.25 grams?

Ans. 2 lb. 2 oz. 190.49 g

8. Grams in 480 grains? 9. Grams in 12 Troy pounds? 10. Grams in 12 Av. pounds?

MEASURES OF LENGTH.

11. How many feet in 24.5 meters?

12. Yards in 136.54 meters?

13. Meters in 120 yards?

14. Meters in 2 mi. 120 rd.?

16. Meters in 3 mi. 272 rd.?

gr.

Ans. 31.104G.

Ans. 4479.004G.

Ans. 5443.234G.

Ans. 80.38 ft.

Ans. 149.3216 yd.

Ans. 109.73M.

Ans. 3822.199M.

15. Miles in 4000 meters? Ans. 2 mi. 155 rd. 5 ft. 10 in.

Ans. 6195.9867M.

MEASURES OF SURFACE.

17. How many ares in 360 sq. yd.?
18. Sq. yd. in 142.5 ares?
19. Acres in 505.6 ares?

Ans. 3.01A. Ans. 17043 sq. yd.

Ans. 12 A. 78.1312 P.

20. How many ares in 30 acres?
21. How many ares in 5 A. 104 P.?

Ans. 1214.574A.

MEASURES OF VOLUME.

Ans. 228.744A.

22. How many cu. ft. in 46 steres? Ans. 1624.5636 cu. ft.

23. Cu. ft. in 214.78 steres?

Ans. 7585.2993 cu. ft.

MISCELLANEOUS PROBLEMS.

1. If a letter weighs 2.5 grams, how many such letters will it take to weigh a kilogram? Ans. 400.

2. A lady bought 11.5 meters of silk for a dress, at the rate of $4.75 a meter; what did it cost her? Ans. $54.625. 3. My butcher's bill one month was 87.5 kilograms of beef, at 183 cents a kilo; what was the bill? Ans. $16.40§. 4. How much must I pay for 56.25 liters of coal oil, at the rate of 183 cents a liter? Ans. $10.546 +.

5. A kilogram weighs 2.2046 lb.; what is the weight of 56 tonneaux? Ans. 124559.9 lb.

6. A bought 2500 ares of land, at $4.50 an are, and sold it for $525 a hectare; what was the gain? Ans. $1875. 7. If 15 steres of wood cost $22.50, what must I pay for 24.5 steres at the same rate? Ans $36.75. 8. If a kilogram of sugar is worth 21 cents, how many kilos can I buy for $100?

Ans. 459.77 +.

9. The height of a pole is 68.325M; how long would it take a worm to climb to its top, at the rate of 15 meters a

day?

10. A kilometer is about g of a mile; ters from Lancaster to Philadelphia, 70 11. How much must I pay for 23 francs 25 centimes a meter?

Ans. 4.555 days.

how many kilomemiles? Ans. 112. meters of silk, at 8 Ans. 195.94- fr.

12. What cost 3 kilares, 7 hectares, 6 deciares of land, at $275.25 a hectare? Ans. $10185.90.

13. It is about 100 miles from Philadelphia to New York;

how many kilometers is it?

Ans. 160.

14. How much will it cost to excavate 12 cubic meters Ans. $476.80.

of earth, at $37.25 a cubic meter?

15. What is the width of the Atlantic in kilométers, the width being about 3000 miles? Ans. 4800 kilometers. 16. What must I pay for 25 steres, 2 decisteres, and 5 centisteres of wood, at the rate of $2.65 a stere? Ans. $66.914. 17. How long will it take a man to walk from Philadelphia o New York, at 8 kilometers an hour? Ans. 20 hours.

18. Two vessels are 432 kilometers apart, and sail toward each other, each at the rate of 18 kilometers an hour; in how many hours will they be together? Ans. 12 hours. 19. A block 3.5 meters long, .75 meters wide, and .8 meters thick, cost $12; what would a cubic meter of marble cost, at the same rate? Ans. $5.71+. 20. A man bought 7000 grams of jewels, at 40 francs a gram, and sold them at $15 a pennyweight; how much was gained or lost? Ans. $13475.

PROBLEMS ON IMPORTS.

1. An importer bought 428.5 meters of silk in France, at 18 francs a meter, sent it to the United States, paying 25 cents a meter shipping and duty, and sold it for $5.25 a meter; what was his gain? Ans. $653.89.

2. A man bought a valuable gem in France which weighed 325.75 grams, @ 10.25 francs; the duty on it was $6.25; how must be sell it a gram to clear $150? Ans. $2.46.

3. I bought 125.75 liters of wine in France, at 45.25 francs a liter, paid $1.25 a liter duty and freight, and sold it at $12.50 a liter; how much did I gain? Ans. $316.48.

4. An importer bought 625.5 liters of French brandy, at 7.55 francs a liter, paid 15 cents a liter duty and freight, and sold it in New York at $1.65 a liter; how much did he gain? Ans $26.80.

5. A man bought 200 meters of cloth in France, at 16.25 francs a meter; he paid 12 cents a yard duty and freight, and sold it in Boston at $4.62 a yard; what was the gain? Ans. $357.

6. An importer bought 480 grams of jewels, at 12.25 francs gram, raid $5.25 an ounce shipment and duty, and sold them in Philadelphia at $102.75 an ounce; what was the gain? Ans. $369.78.

7. A wine merchant bought 180 liters of brandy in Havre, at 324 decimes a liter; he paid 21⁄2 decimes a liter shipment, and $2.25 a gallon duty, and sold it in New York at $6.75 a gallon; what was his gain? Ans. $92.40.

INSURANCE TABLE FOR COMPUTING SHORT RATES.

Insurances for periods less than one year will be at the following rates. wanted for very short terms.

Risks upon Grain, Pork, Wool, and other produce, are sometimes

90 1.00 1.10 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75 4.00 5.00
5
4

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