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The denominations printed in bold type in each table are in most frequent use.

310. Measures of Length.

The Meter is the unit of length.

NOTE. The meter was intended to be, and is very nearly, the tenmillionth part of the distance from the Equator to the North Pole, as ascertained by actual measurement of the arc of a meridian.

10 millimeters (mm.)

10 centimeters

10 decimeters

10 meters

10 decameters

10 hectometers

10 kilometers

1 meter

1 kilometer

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TABLE.

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39.37 in.

.6214 mi.

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1 centimeter,

1 decimeter,

1 meter,

Hm.

1 decameter,
1 hectometer,
1 kilometer, Km.
1 myriameter,

Mm.

EQUIVALENTS.

1 yard

1 mile

cm.

Approximately

6. How many inches in a meter?

7: What part of a mile is a kilometer?

dm.

=

1.6093Km.

Cloth, etc. are measured by the meter, long distances by the kilometer, and very small distances by the millimeter.

ORAL EXERCISES.

m.

Dm.

= .9144m.

How many

1. Meters in a kilometer? Hectometer?
2. Millimeters in a meter?
3. Centimeters in a meter?

Decameter?

Hectometer? Kilometer?

4. Decimeters in a meter? Decameter? Hectometer?

5. What is measured by the meter? Kilometer? Milli

meter?

Myriameter ?
Decimeter?

311. Measures of Area.

The Square Meter is the unit of area.

TABLE.

100 square millimeters (sq. mm.)
100 square centimeters
100 square decimeters

100 square meters
100 square decameters
100 square hectometers
100 square kilometers

=

=

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1 square meter=1.196 sq.yd. 1 sq. kilometer = .3861 sq. mi.

1 are

.0247 A.

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The square decameter is called an are (a.).

100 ares

1 hectare, Ha.

=

1 square centimeter, sq. cm.

1 square decimeter,

Bq. dm.

1 square meter,

8q. Dm.

=

sq. Hm.

= 1 square decameter,
1 square hectometer,
1 square kilometer, sq. Km.
square myriameter,

=

= 1

8q. Mm.

EQUIVALENTS.

1 square yard
=
mile

1

square 1 acre

ORAL EXERCISES.

=

How many

1. Square meters in a square hectometer? 2. Square centimeters in a square meter? 3. Square meters in a square kilometer? 4. Square millimeters in a square meter? 5. Square miles in 10 square kilometers? 6. Ares are equivalent to an acre?

7. Acres in 10 ares?

8. Ares in 100 acres?

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sq.m.

Surfaces of ordinary objects are measured by the square meter, land as in farms is measured by the are and hectare, while larger areas are measured by the square kilometer.

.8361 sq. m. 2.59 sq. Km. 40.47 a.

312. Measures of Volume.

The Cubic Meter, sometimes called the stere (st.), is the unit of volume.

TABLE.

1000 cubic millimeters (cu. mm.) 1 cubic centimeter,
1000 cubic centimeters
1 cubic decimeter,
1000 cubic decimeters

=

1 cubic meter,

EQUIVALENTS.

1 cubic meter = 1.308 cu. yd. | 1 cubic yard
1 stere
.2759 cord. 1 cord

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1 liter 1 liter

1 hectoliter

1 hectoliter 26.417 gal.

= 1.0567 liq. qt.
.9081 dry qt.

2.8376 bu.

TABLE.

The contents of ordinary solids are measured by the cubic meter; wood is measured by the stere.

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313. Measures of Capacity.

The Liter is the unit of capacity. It equals a cubic decimeter.

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EQUIVALENTS.

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1 centiliter,

1 deciliter,
1 liter,

1 decaliter,

Dl.

1 hectoliter, H.

Kl.

1 kiloliter,

1 myrialiter, MI.

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cl.

cu. cm.

dl.

cu. dm.

1.

cu. m.

cu. m.

.9463 1.

1.101

1.

.3524 HI. 61.022 cu. in.

Liquids are measured by the liter, and grains, etc. are measured by the hectoliter.

How many

In a kiloliter?

1. Liters in a hectoliter?
2. Deciliters in a liter? In a decaliter?

3. Liters in a cubic meter?

4. Centiliters in a liter? 5. Milliliters in a liter?

ORAL EXERCISES.

Approximately

6. What part of a hectoliter is a bushel?

7. How many liters in a gallon? In a bushel?

10 milligrams (mg.)

10 centigrams
10 decigrams

314. Measures of Weight.

The Gram is the unit of weight. It is the weight of a cubic centimeter of distilled water at the temperature of 39.2° Fahrenheit.

10 grams

10 decagrams

10 hectograms

10 kilograms
10 myriagrams
10 quintals

1 gram
1 kilogram
1 metric ton =

In a stere?

In a hectoliter?

In a kiloliter?

=

TABLE.

=15.432 gr.
2.2046 lb. av.
1.1023 T.

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EQUIVALENTS.

1 grain = .0648 8.
1 lb. av.
1 T.

.4536 Kg.

= .9072 T.

The gram is used in weighing light articles and in mixing medicines, the kilogram in weighing ordinary articles, and the metric ton in weighing heavy articles.

How

many

1. Grams in a kilogram? In a hectogram? 2. Milligrams in a gram? In a kilogram?

3. Decigrams in a decagram? In a hectogram?

4. Centigrams in a hectogram? In a kilogram?

NUMERATION AND NOTATION.

315. A denominate number expressed in the metric system is called a Metric Number.

ORAL EXERCISES.

A metric number when expressed in a single denomination may be read in either of two ways, as follows: 64.25TM. may be read 64 and 25 hundredths meters, or 64 meters and 25 centimeters.

A metric number may be expressed in terms of any denomination. Thus, 6 Dm., 4 m., 2 dm., 5 cm., may be expressed as Dm. 64.25 m., 6.425 dm. 642.5 or 6425 cm.

,

9

Read the following:

1. 45.26 Dm.

2. 816.35
3. 416.5 1

cl.

4. 42.167 Hg.

5. 481.64 8.

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EXERCISES IN NUMERATION.

m.

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EXERCISES IN NOTATION.

1. Write 8 meters and 7 centimeters in terms of meters. In terms of decimeters. In terms of centimeters.

cu. cm.

Write the number beginning with the unit of measure of each table, and then place the decimal point so that the required denomination is in the units' place.

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