REVIEW EXERCISES.

1. A farmer sold his butter at 34 cents a pound, and received for it $123.59. How many pounds did he sell?

2. A gallon of distilled water weighs 8.339 pounds. How much will 15 gallons weigh?

3. A square rod contains 2724 square feet. How many square feet are there in 75 square rods?

4. The best anthracite coal is said to weigh 55.32 pounds per cubic foot. How many cubic feet will weigh a ton of 2000 pounds?

5. The number of cubic inches in a bushel is 2150.42. How many cubic inches are there in 1000 bushels?

6. What is the quotient when 3 is divided by 3 thousandths?

7. What is the quotient when 300 is divided by 3000 hundred-millionths?

After

8. A lumber merchant had 2182565 ft. of lumber. selling .20, or 20 per cent., of it, he lost 15 per cent. of the remainder by fire. How many feet of lumber were burned?

9. What will 385 pounds of flour cost at $4.25 per hundred-weight?

10. At $.114 per pound, how many pounds of sugar can be bought for $31.25?

11. Bought 26 yards of broadcloth at $4.37 per yard, and paid for it in pork at $7.25 per hundred-weight. How much pork will it take to pay for the cloth?

12. If 15 tons of hay cost $125.25, what will 35 tons cost? 13. If Ridpath's histories retail at $1.25 each, what will be received for 350 sold at that rate?

14. When pork is selling at $6.25 per hundred-weight, how much can be bought for $325?

15. When 8000 is divided by .004, what is the quotient?

16. When .0008 is divided by 40000, what is the quotient? 17. How many days must a laborer work at $1.371⁄2 per day, to pay for 8 cords of wood at $4.433 per cord?

18. A lady bought the following articles: 27 yards of silk at $2.75 per yard, 11 yards of lace at $6.37 per yard, 9 pairs of gloves at $2.15 per pair, 10 pairs of hose at $1.10 per pair. What was the amount of the purchase?

19. If a man earns $12 per week, and spends $75 per week, in how many weeks can he save $500?

20. What is the value of 95150 bricks at $7.25 per M? 21. What is the value of a farm of 195 acres if 91 acres are worth $6688.50, and the remainder $1.12 per acre more?

22. A drover bought 375 sheep at $4.50 per head. He sold 200 of them at a loss of $.20 per head, and gained enough on the rest to balance the loss. What did he get per head for the rest?

24. Express as a decimal

23. The expenses of conducting a business enterprise were .40 of the entire profits. If the profits were .15 of the value of the goods sold, how much was received from the sale of goods if the profits were $9000 more than the expenses? ( - 70) × (3 + 3 ) (13+ §) + (3 — 13 ) × 5 25. A speculator bought 5000 bushels of corn at $.65 per bushel. He sold .25 of it for $.70 per bushel, and the remainder for such price that he realized a profit on the whole of $447.50. How much did he get per bushel for the remainder?

26. The estimated value of Mr. A.'s farm was $6500. If he sold a portion of it, at its estimated value per acre, for $2275, what decimal part of the farm did he sell?

27. A, B and C divide 645 selves. A takes .371, B, many bushels had each?

bushels of wheat among themand C the remainder.

How

DENOMINATE NUMBERS

DEFINITIONS.

232. A Concrete Number is a number used in connection with some specified thing.

Thus, 5 books, 7 trees, 8 horses, are concrete numbers.

233. An Abstract Number is a number that is not used in connection with any specified thing.

Thus, 5, 7, 8, are abstract numbers.

234. A Denominate Number is a concrete number in which the unit of measure is established by law or custom. Thus, 5 yards, 3 feet, 7 pounds, 3 ounces, are denominate numbers. 235. A Simple Denominate Number is a denominate number composed of units of the same denominations. Thus, 5 feet, 9 pounds, 3 miles, are simple denominate numbers.

236. A Compound Denominate Number is a denominate number composed of units of two or more denominations which are related to each other.

Thus, 6 feet and 4 inches, 8 hours and 32 minutes, are compound denominate numbers.

237. A Standard Unit is a unit of measure from which the other units of the same kind may be derived.

Thus, the yard is the standard unit from which all measures of length are formed; the Troy pound the standard unit of weight.

238. A Scale is the ratio by which numbers increase or decrease. Scales are either uniform or varying.

MEASURES OF VALUE.

239. Money is the measure of value.

It is also called Currency, and is of two kinds, viz: coin and paper money.

240. Coin or Specie is stamped pieces of metal having a value fixed by law.

241. Paper Money is notes and bills issued by the Government and banks, and authorized to be used as money.

UNITED STATES MONEY.

242. The unit of United States or Federal money is the

The coins of the United States are

Gold: The double-eagle, eagle, half-eagle, quarter-eagle, threedollar piece, one-dollar piece.

Silver: The dollar, half-dollar, quarter-dollar, the twenty-cent

piece, the ten-cent piece.

Nickel: The five-cent piece and three-cent piece.

Bronze: The one-cent piece.

There are various other coins of the United States in circulation,

but they are not coined now.

The denominations dimes and eagles are rarely used, the dimes being regarded as cents, and the eagles as dollars.

No examples in Reduction of U. S. Money are given, because the pupil has been familiarized with the process from the beginning.

CANADA MONEY.

243. The currency of Canada is decimal, and the table and denominations are the same as those of United States money. English money is still used to some extent.

The coins of Canada, are, for the most part, of the same denominations as those of the United States, except the gold coins, which are the sovereign and half-sovereign.

ENGLISH OR STERLING MONEY.

244. English money is the currency of Great Britain. The unit is the Pound or Sovereign.

1. Farthings are commonly written as fractions of a penny. Thus, 7 pence 3 farthings is written 7ąd.; 5 pence 1 farthing, 5d. 2. The value of £1 or sovereign is $4.8665 in American gold.

The coins of Great Britain in general use are―

Gold: Sovereign, half-sovereign, and guinea, which is equal to 21 shillings.

Silver: The crown (equal to 5 shillings), half-crown, florin (equal to 2 shillings), shilling, six-penny and three-penny pieces.

Copper: Penny, half-penny, and farthing.