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SECTION VI.

DENOMINATE NUMBERS.

111. A Denominate Number is one in which the unit is a measure; as, 2 feet, 3 bushels, 5 pounds, etc.

112. A Compound Denominate Number is a denominate number composed of two or more units of the same kind of measure; as, 5 ft. 6 in.; 3 bu. 2 pk. 1 qt., etc.

MEASURES.

113. Measures of Value.

Money is the measure of the value of things. It is of two kinds, Coin and Paper Money.

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The coins of the United States are

Gold, the quarter-eagle, half-eagle, eagle, and double-eagle. Silver, the dime, quarter-dollar, half-dollar, and dollar. Nickel, the five-cent piece.

Bronze, the cent.

NOTE.-The coinage of gold dollars and three-dollar pieces and nickel three-cent pieces was suspended by an act of Congress Sept. 26, 1890.

II. English Money.

English Money is the currency of Great Britain. The unit is the pound, whose value is $4.8665.

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The unit is the franc, whose value is 19.3 cents. The franc is divided into tenths and hundredths, called, respectively, decimes and centimes.

IV. German Money.

The unit is the mark (Reichsmark), whose value is 23.85 cents. The mark is divided into hundredths, called pfennige.

ORAL EXERCISES ON VALUE.

1. How many farthings in 6 pence? In 7 d.? 2. How many pence in 12 far.? In 16 far.? 3. How many pence in 1 shilling? In 4 s.? 10 s.? In 30 s.? In 40 s.?

In 10 d.?

In 20 far.?

In 7 s.? In

4. How many shillings in 24 d.? In 36 d.? In 48 d.? In

56 d.? In 65 d.? In 84 d. ?

In £6? In £8? In £10?
In 60 s.? In 100 s.?

5. How many shillings in £5? 6. How many pounds in 40 s.? 7. How many pence in 5 s. 6 d.? 10 d.? In 7 s. 6 d.? In 5 s. 7 d.?

In 8 s. 4 d.? In 10 s.

114. Measures of Weight.

I. Avoirdupois Weight is used in weighing everything except precious metals and jewels.

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At the United States Custom House, and in weighing coal and iron at mines, the following weights are used:

112 pounds 2240 pounds

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1 long hundred-weight.

1 long ton.

II. Troy Weight is used in weighing precious metals.

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III. Apothecaries' Weight is used in mixing medicines.

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Medicines are bought by avoirdupois weight, and are mixed

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ORAL EXERCISES ON WEIGHT.

How many

1. Ounces in 5 lb. Troy? In 5 lb. avoirdupois?

2. Pounds Troy in 96 oz.? Pounds avoirdupois in 80 oz.? 3. Grains in 5 pwt.? In 89? In 4 pwt.?

4. Ounces in pound of sugar? In pound of gold?

5. What part of a pound avoirdupois are 4 oz.?

6. What part of a pound Troy are 8 oz.?

7. How many drams in 369? In 60 ?

8. How many grains in 2 lb. Troy? In 3 lb.?

9. How many grains in 2 lb. avoirdupois? In 4 lb. ? 10. How many pounds in ton? In ton?

11. How many scruples in 83 and 29?

115. Measures of Length.

I. Long Measure is used for measuring lengths or distances.

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II. Surveyors' Linear Measure is used by engineers and surveyors in measuring distances.

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The unit is a chain called Gunter's Chain, which is 4 rods,

66 feet, or 792 inches, long.

ORAL EXERCISES ON LENGTH.

1. How many inches in a yard? In yd.? In yd.? In yd.? In yd.?

2. How many feet in 10 yd.? 3. How many chains in 3 mi.? 4. How many yards in 36 ft.? 5. How many rods in a mile? 6. How many links in a chain? 7. How many yards in a mile? 8. How many feet in a mile? 9. How many rods in a chain? 10. How many feet in a chain?

116. Measures of Surface.

In 72 in.?

In 5 mi.?
In 90 ft.?

In 3 mi.?

In 5 ch.?

In 3 mi.?
In 10 mi.?

In 5 ch.?
In 8 ch.?

A Surface is that which has length and breadth only.

A Square is a plane surface which has four equal sides and four equal angles.

Square Measure is used in measuring surfaces.

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A square rod is sometimes called a perch (P.). 40 sq. rd. = 1 rood (R.). 4 roods = 1 A. 10 square chains = 1 A. 43560 sq. ft. 1 A. 6 miles square = 1 township (Tp.).

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