Converting units of measure | PDF - Free Printable

Problem Overview:

The task involves converting various units of measurement from one unit to another. The worksheet provides a series of problems where measurements in centimeters (cm), meters (m), and kilometers (km) need to be converted into the specified units.

Key Conversion Factors:

1. 1 meter (m) = 100 centimeters (cm)
2. 1 kilometer (km) = 1000 meters (m)

Using these conversion factors, we can solve each problem step by step.

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Solution:

#### Section 1: Converting cm to m
1. 1a. 500 cm = ______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 500 \text{ cm} \div 100 = 5 \text{ m} \)
- Answer: \( 5 \text{ m} \)

2. 3a. 9 cm = ______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 9 \text{ cm} \times 10 = 90 \text{ mm} \)
- Answer: \( 90 \text{ mm} \)

3. 6a. 80 mm = ______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 80 \text{ mm} \div 10 = 8 \text{ cm} \)
- Answer: \( 8 \text{ cm} \)

4. 7a. 1 m = ______ cm
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 1 \text{ m} \times 100 = 100 \text{ cm} \)
- Answer: \( 100 \text{ cm} \)

5. 8a. 2 cm = ______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 2 \text{ cm} \times 10 = 20 \text{ mm} \)
- Answer: \( 20 \text{ mm} \)

6. 9a. 300 cm = ______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 300 \text{ cm} \div 100 = 3 \text{ m} \)
- Answer: \( 3 \text{ m} \)

7. 10a. 90 cm = ______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 90 \text{ cm} \div 100 = 0.9 \text{ m} \)
- Answer: \( 0.9 \text{ m} \)

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#### Section 2: Converting km to m
1. 1b. 10 km = ______ m
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 10 \text{ km} \times 1000 = 10,000 \text{ m} \)
- Answer: \( 10,000 \text{ m} \)

2. 2b. 3000 m = ______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 3000 \text{ m} \div 1000 = 3 \text{ km} \)
- Answer: \( 3 \text{ km} \)

3. 4b. 4000 m = ______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 4000 \text{ m} \div 1000 = 4 \text{ km} \)
- Answer: \( 4 \text{ km} \)

4. 5b. 7000 m = ______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 7000 \text{ m} \div 1000 = 7 \text{ km} \)
- Answer: \( 7 \text{ km} \)

5. 6b. 5000 m = ______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 5000 \text{ m} \div 1000 = 5 \text{ km} \)
- Answer: \( 5 \text{ km} \)

6. 7b. 10 cm = ______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 10 \text{ cm} \times 10 = 100 \text{ mm} \)
- Answer: \( 100 \text{ mm} \)

7. 8b. 2000 m = ______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 2000 \text{ m} \div 1000 = 2 \text{ km} \)
- Answer: \( 2 \text{ km} \)

8. 9b. 200 cm = ______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 200 \text{ cm} \div 100 = 2 \text{ m} \)
- Answer: \( 2 \text{ m} \)

9. 10b. 30 mm = ______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 30 \text{ mm} \div 10 = 3 \text{ cm} \)
- Answer: \( 3 \text{ cm} \)

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Final Answers:

1. 1a. 5 m
2. 1b. 10,000 m
3. 2b. 3 km
4. 3a. 90 mm
5. 4b. 4 km
6. 5b. 7 km
7. 6a. 8 cm
8. 6b. 5 km
9. 7a. 100 cm
10. 7b. 100 mm
11. 8a. 20 mm
12. 8b. 2 km
13. 9a. 3 m
14. 9b. 2 m
15. 10a. 0.9 m
16. 10b. 3 cm

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Boxed Final Answer:

\[
\boxed{
\begin{aligned}
&1a. 5 \text{ m}, \quad 1b. 10,000 \text{ m}, \quad 2b. 3 \text{ km}, \quad 3a. 90 \text{ mm}, \quad 4b. 4 \text{ km}, \\
&5b. 7 \text{ km}, \quad 6a. 8 \text{ cm}, \quad 6b. 5 \text{ km}, \quad 7a. 100 \text{ cm}, \quad 7b. 100 \text{ mm}, \\
&8a. 20 \text{ mm}, \quad 8b. 2 \text{ km}, \quad 9a. 3 \text{ m}, \quad 9b. 2 \text{ m}, \quad 10a. 0.9 \text{ m}, \quad 10b. 3 \text{ cm}.
\end{aligned}
}
\]