Metric Unit Scale on Map - Power of 10 (to 1000000) - Change Unit (Level 1)

This math topic focuses on the intersection of map scales expressed as powers of ten, metric unit conversions, and spatial reasoning. The problems involve converting measurements from scales on a map (like 1:1,000) to real-life metric measurements such as meters, kilometers, hectometers, and decameters. It includes comparing measurements on a map to different metric units, often involving multiplying by the scale factor to bridge units of measure (e.g., millimeters to meters) and applying the given map scale. This set of skills is crucial for understanding how to work with and interpret different types of maps and scales effectively.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Metric Unit Scale on Map - Power of 10 (to 1000000) - Change Unit Worksheet

Math worksheet on 'Metric Unit Scale on Map - Power of 10 (to 1000000) - Change Unit (Level 1)'. Part of a broader unit on 'Measurement - Unit Conversion Intro - Metric' Learn online: app.mobius.academy/math/units/measurement_unit_conversion_intro_metric/

1

The map has a scale of 1:1,000,000. How many kilometers would 9 cm on the map represent?

a

0.09 km

b

9,000 km

c

90 km

d

0.9 km

2

The map has a scale of 1:100,000. How many decameters would 3 mm on the map represent?

a

30 dam

b

3 dam

c

0.03 dam

d

30,000 dam

e

300 dam

3

The map has a scale of 1:1,000. How many decimeters would 3 mm on the map represent?

a

0.3 dm

b

3,000 dm

c

30 dm

d

3 dm

e

0.03 dm

4

The map has a scale of 1:10,000. How many decameters would 4 cm on the map represent?

a

40 dam

b

400 dam

c

0.4 dam

d

0.04 dam

5

The map has a scale of 1:1,000,000. How many kilometers would 2 mm on the map represent?

a

2 km

b

20 km

c

200 km

d

0.2 km

e

0.02 km

f

0.002 km

6

The map has a scale of 1:10,000. How many hectometers would 5 cm on the map represent?

a

500 hm

b

5 hm

c

0.05 hm

d

0.005 hm

e

50 hm

7

The map has a scale of 1:1,000,000. How many kilometers would 6 cm on the map represent?

a

600 km

b

0.6 km

c

6,000 km

d

0.06 km

e

60 km