12. In 63440.006 dem3. how many cubic meters?

Ans. 63.440006 m3.

13. Express as kilos and add 316 kilos, 3.156 tonneaux, 715 grams. Ans. 3472.715 k.

14. Express as liters 31.175 hl. and subtract 31.156 liters.

15. In 5 times 54 liters, how many hectoliters?

16. In one-fifth of 2.7 hectoliters, how many liters?

233. Numbers expressed in denominations of the metric system may be reduced to equivalent numbers in denominations in common use, by means of known values of some convenient unit. 17. In 125 meters, how many yards?

OPERATION.

325 ft. X 125 410 ft.

410 ft.

136 yd. 2 ft., Ans.

Since in 1 meter there are 3.28 feet, there will be, in 125 meters, 125 times 3.28 feet, or 410 feet. Since in 3 feet there is 1 yard,

in 410 feet there are as many yards as 3 feet are contained times in 410 feet, which are 136, and 2 feet over.

Therefore, in 125 meters there are 136 yards 2 feet.

18. Reduce 5000 kilos to common tons.

Ans. 5 T. 10 cwt. 23 lb.

Ans. 14.7938 gal. Ans. 25.08+ acres.

19. In 506 liters, how many gallons?
20. In 1005 ares, how many acres?
21. In 400 hectoliters, how many bushels?
22. Reduce 406 metric tons to common tons.

Ans. 1134.8 bu.

Ans. 447.53 tons.

23. Reduce 510 cubic meters to cubic yards.

Ans. 677.08 cu. yd.

234. Numbers expressed in denominations in common use may be reduced to their equivalents expressed in the metric system, by means of equivalents already given, or by those in the following

How may metric numbers be reduced to equivalent numbers in denominations in common use? How may numbers expressed in denominations in common use be reduced to their equivalent in the metric system?

1. If I travel in one day 31.165 kilometers, and in another 43.18 kilometers, how many meters do I travel in all?

Ans. 74345.

2. At $1.65 per meter, how much will 34 meters of silk cost? 3. At 25 cents per kilo, how much sugar can be purchased for $19.75? Ans. 79 kilos. 4. What will a farm of 50 hectares cost, at 50 cents per are?

Ans. $2500.

How many centimeters equal an inch? How many a foot? How many meters a yard? How many kilometers a mile? Square meters a square foot? A square yard? How many hectares an acre? Cubic meters a cubic foot? A cubic yard? Steres a cord? Liters a gallon? A bushel? Grams a grain? Kilos a pound Troy? A pound avoirdupois? Tonneaux a ton?

5. If a single letter weighs 15 grams, how many kilos will 19600 letters weigh? Ans. 294 kilos.

6. How many steres in a pile of wood 5 meters long, 2 meters high, and 1.25 meters wide? Ans. 12.5 st. 7. At 10 cents per liter, how much will a hectoliter of chestnuts cost? Ans. $10. 8. If a man travels in 5 days 354650 meters, how many kilometers does he average per day? Ans. 70.93 km. 9. If it take for a pair of pantaloons 2 meters of cloth, for a vest of a meter, and for a coat 3 meters, what will be the cost of the cloth for the suit at $2.20 per meter? Ans. $14.85.

10. If a hectoliter of wheat cost $5, how much is that per bushel?

SOLUTION. - Since 1 bushel equal 25.24 lt., it must equal one-hundredth as many hectoliters, or .3524 hl. Then, if a hectoliter cost $5, a bushel, which is .3524 hl., will cost .3524 times $5, or $1.762. 11. When land is worth $80 per acre, how much is it worth per hectare? Ans. $197.68.

12. When wood is $5 per cord, what is it worth per dekastere? Ans. $13.795.

13. If the price of tea is $2 per kilo, what should be the price per pound? Ans. $.9072. 14. A bin measures 3 meters long, 2 meters wide, and 2 meters deep; how many hectoliters will it contain?

SOLUTION.

Since the bin is 3 meters long, 2 meters wide, and 2 meters deep, it will contain 3 × 2 × 2 = 12 cubic meters. Since 1 cubic meter will contain 1000 liters, or 10 hectoliters, 12 cubic meters will contain 12 times 10 hectoliters, or 120 hectoliters. Therefore,

etc.

15. A vat 25 meters long, 2 meters wide, and 1 meter deep, is full of wine; how much is it worth at $.60 per liter? Ans. $3000.

16. A druggist bought 4 kilos of opium, at $16 a kilo, and retailed it at 2 cents a gram; how much did he make by the operation?

Ans. $16.

Why is the Metric System so called? (221.) How are the names of the higher denominations formed? (222.) Of the lower denominations? (222.)

DICTATION EXERCISES.

235. The Dictation Exercises here furnished are for
the convenience of teachers, who may desire, for any purpose,
more exercises than are to be found in the body of the book.

NOTATION AND NUMERATION.

236. Write in figures the following numbers:

1. Eighty-three.

2. Thirty-eight.

3. Ninety-nine.

4. Eight hundred three.

6. One hundred ten.

7. One hundred one.

8. Four hundred seventeen.

9.

5. Nine hundred ninety. 10.

Seven hundred seventy-four.
One thousand forty-one.

11. Seven thousand seven hundred twenty-seven.

12. Seven hundred seventy-seven thousand one hundred.
13. Thirty million thirty thousand two hundred twenty-
nine.

12.

11. 5134756 + 333 + 162 + 1451 = how many?
93 + 71 + 562 † 459 † 19 + 6347 = how many?
13. 4456 + 340+781 +62 + 17 +9 + 13 = how many?

239. Add the numbers as they stand in columns, and also
write those of the horizontal lines, in columns, and add.

24. Write the numbers of Ex. 19 and Ex. 20, and add. Of
Ex. 21, Ex. 22, and Ex. 23, and add.

SUBTRACTION.

240. Subtract the numbers as they stand in columns, and,
also, as indicated by the sign : —

241. Multiply the numbers as they stand in columns, and,

37. Multiply 319 by 7; 826 by 8; 414 by 9; 517 by 17, etc.