437. The following series of numbers read from the top is reduction descending; read from the bottom is reduction ascending. All metric numbers may be reduced in this way.

or Km.
• Hm.

∞ Dm.

mm.

Each of these numbers may be read thus: 7 5 6 8 9 1 3 2. 438. Oral and Written

1. How may a metric number be reduced to higher denominations? To lower denominations?

2. Reduce 12,345,678 mm. to em.; to dm.; to m.; to Dm.; to Hm.; to Km.; to Mm.

3. Reduce 9.6538714 Mm. to Km.; to Hm.; to Dm.; to m.; to dm.; to cm.; to mm.

4. Reduce 7 Mm. to lower denominations.

5. Reduce 7 mm. to higher denominations.

6. Reduce 6307.1 m. to Km.; to cm.

7. Reduce 31 meters to inches.

8. Write as meters 2 Mm.; 7 Km.; 6 Hm.; 8 Dm.; 5 m.; 3 dm.; 2 cm.; 9 mm. Write them all as one number.

9. Reduce 1 Mm. to feet.

10. Write 7 Mm. and 6 mm. in one number, as meters. Reduce it to higher denominations; to lower denominations. 11. Reduce .075 Km. to cm.

12. Reduce 8 Dm. and 6 m. to Mm.; to mm.

13. Write 75 Km. and 62 dm. in one number as meters; as cm.; as Mm.

14. State the value of each figure in 30769.543 m.

15. A ship sails 100 Mm. in one day. How many miles does it sail?

16. Give the table of Metric Linear Measure.

17. Name the standard unit.

18. How is it determined?

19. What is the scale of the Metric system?

20. a. What is the distance in meters between two places if they are 94,488 feet apart?

b. What is the distance in kilometers?

21. A boy in Paris walked 12 Km. in one day.

miles did he walk?

How many

22. A train in Europe ran 393.7 mi. in 10 hr. That was an average of how many kilometers per hour?

SURFACE MEASURE

439. Draw a square whose side is one meter. How many square meters does it contain? It is how many decimeters on a side? How many square decimeters does it contain? How many square decimeters make one square meter?

One

sq. cm.

One sq. mm.

One Square Decimeter

How many centimeters long and wide is a square decimeter? How many square centimeters in one square decimeter? Find how many square millimeters in 1 sq. centimeter.

How many sq. meters

How many sq. dekameters

=

1 sq. dekameter?

= 1 sq. hektometer?

How many sq. hektometers = 1 sq. kilometer?

The answers to the above questions form the following table, which is used for all ordinary surface measurements:

Table of Surface Measure

100 sq. millimeters = 1 sq. centimeter (sq. cm.)
100 sq. centimeters = 1 sq. decimeter (sq. dm.)

1 sq. meter (sq. m.)

=

1 sq. dekameter (sq. Dm.)

100 sq. dekameters = 1 sq. hektometer (sq. Hm.)

100 sq. hektometers = 1 sq. kilometer (sq. Km.)

440. Oral

1. Which denomination of our measure is nearest like the square meter?

2. The square dekameter is equivalent to about how many square rods?

3. How many square centimeters in one square meter?

4. How far to the right must the decimal point be moved to reduce square meters to square decimeters?

5. How many places to the left must the decimal point be moved to reduce square meters to square dekameters?

6. To reduce sq. mm. to sq. cm. ?

7. To reduce sq. mm. to sq. dm.?

8. How many places to the left must the decimal point be moved to reduce square meters to square kilometers?

441. Written

1. Reduce 74.5 square meters to square centimeters.

2. Reduce

a. 2408 sq. mm. to square meters.

b. .0753 sq. m. to square millimeters.

c. 984,769,302 square meters to square kilometers. d. 24.8 sq. dm. to square centimeters.

e. 48 sq. Km. 73 sq. Dm. to square meters.

3. A table top 2.5 m. long and 95 cm. wide contains how many square meters?

4. How many square meters are there in a floor 8 m. long and 3 m. 75 cm. wide?

5. Find the cost of painting the four walls of a room 4.5 m. long, 3.2 m. wide, and 32 dm. high, at 1.4 francs per square

meter.

6. Find in square meters the entire surface of a cube whose edge is 125 cm.

7. How many square meters of carpet will cover a floor 896 cm. long and 50 dm. wide?

8. A city lot is 45 m. long and contains 922.50 sq. m. of land. Find its width in centimeters.

9. At 30 per square meter, what will it cost to plaster the sides and ceiling of a room 5.5 m. long, 4 m. wide, and 3 m. 95 cm. high?

10. How many square decimeters of writing surface are there in a tablet containing 90 sheets of paper, each 2 dm. long and 16 cm. wide?

11. Find the area of your schoolroom floor in square meters. 12. Find in square decimeters the area of a square whose edge is 393.7 inches.