Metric Conversion Worksheets - Math Monks - Free Printable

To solve the metric to metric conversion problems, we need to use the relationships between the units in the metric system. Here are the key conversions:

1. Mass:
- 1 kg = 1000 g
- 1 g = 0.001 kg

2. Length:
- 1 m = 100 cm
- 1 cm = 10 mm
- 1 km = 1000 m
- 1 m = 0.001 km

3. Volume:
- 1 L = 1000 mL
- 1 mL = 0.001 L

Now, let's solve each problem step by step:

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Problem 1: 3680 g = ______ kg

- Conversion: 1 kg = 1000 g
- Calculation: \( 3680 \, \text{g} \div 1000 = 3.68 \, \text{kg} \)
- Answer: \( 3.68 \, \text{kg} \)

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Problem 2: 0.67 kg = ______ g

- Conversion: 1 kg = 1000 g
- Calculation: \( 0.67 \, \text{kg} \times 1000 = 670 \, \text{g} \)
- Answer: \( 670 \, \text{g} \)

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Problem 3: 101 cm = ______ m

- Conversion: 1 m = 100 cm
- Calculation: \( 101 \, \text{cm} \div 100 = 1.01 \, \text{m} \)
- Answer: \( 1.01 \, \text{m} \)

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Problem 4: 8.08 L = ______ mL

- Conversion: 1 L = 1000 mL
- Calculation: \( 8.08 \, \text{L} \times 1000 = 8080 \, \text{mL} \)
- Answer: \( 8080 \, \text{mL} \)

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Problem 5: 158 mm = ______ cm

- Conversion: 1 cm = 10 mm
- Calculation: \( 158 \, \text{mm} \div 10 = 15.8 \, \text{cm} \)
- Answer: \( 15.8 \, \text{cm} \)

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Problem 6: 7.85 km = ______ m

- Conversion: 1 km = 1000 m
- Calculation: \( 7.85 \, \text{km} \times 1000 = 7850 \, \text{m} \)
- Answer: \( 7850 \, \text{m} \)

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Problem 7: 13570 mL = ______ L

- Conversion: 1 L = 1000 mL
- Calculation: \( 13570 \, \text{mL} \div 1000 = 13.57 \, \text{L} \)
- Answer: \( 13.57 \, \text{L} \)

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Problem 8: 14.9 cm = ______ mm

- Conversion: 1 cm = 10 mm
- Calculation: \( 14.9 \, \text{cm} \times 10 = 149 \, \text{mm} \)
- Answer: \( 149 \, \text{mm} \)

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Problem 9: 608 m = ______ km

- Conversion: 1 km = 1000 m
- Calculation: \( 608 \, \text{m} \div 1000 = 0.608 \, \text{km} \)
- Answer: \( 0.608 \, \text{km} \)

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Problem 10: 30.5 m = ______ cm

- Conversion: 1 m = 100 cm
- Calculation: \( 30.5 \, \text{m} \times 100 = 3050 \, \text{cm} \)
- Answer: \( 3050 \, \text{cm} \)

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Problem 11: 2750 cm = ______ m

- Conversion: 1 m = 100 cm
- Calculation: \( 2750 \, \text{cm} \div 100 = 27.5 \, \text{m} \)
- Answer: \( 27.5 \, \text{m} \)

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Problem 12: 5.68 km = ______ m

- Conversion: 1 km = 1000 m
- Calculation: \( 5.68 \, \text{km} \times 1000 = 5680 \, \text{m} \)
- Answer: \( 5680 \, \text{m} \)

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Problem 13: 800 g = ______ kg

- Conversion: 1 kg = 1000 g
- Calculation: \( 800 \, \text{g} \div 1000 = 0.8 \, \text{kg} \)
- Answer: \( 0.8 \, \text{kg} \)

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Problem 14: 4.82 L = ______ mL

- Conversion: 1 L = 1000 mL
- Calculation: \( 4.82 \, \text{L} \times 1000 = 4820 \, \text{mL} \)
- Answer: \( 4820 \, \text{mL} \)

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Problem 15: 8700 mL = ______ L

- Conversion: 1 L = 1000 mL
- Calculation: \( 8700 \, \text{mL} \div 1000 = 8.7 \, \text{L} \)
- Answer: \( 8.7 \, \text{L} \)

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Problem 16: 0.09 kg = ______ g

- Conversion: 1 kg = 1000 g
- Calculation: \( 0.09 \, \text{kg} \times 1000 = 90 \, \text{g} \)
- Answer: \( 90 \, \text{g} \)

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Problem 17: 1520 mm = ______ cm

- Conversion: 1 cm = 10 mm
- Calculation: \( 1520 \, \text{mm} \div 10 = 152 \, \text{cm} \)
- Answer: \( 152 \, \text{cm} \)

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Problem 18: 12 cm = ______ mm

- Conversion: 1 cm = 10 mm
- Calculation: \( 12 \, \text{cm} \times 10 = 120 \, \text{mm} \)
- Answer: \( 120 \, \text{mm} \)

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Problem 19: 2080 m = ______ km

- Conversion: 1 km = 1000 m
- Calculation: \( 2080 \, \text{m} \div 1000 = 2.08 \, \text{km} \)
- Answer: \( 2.08 \, \text{km} \)

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Problem 20: 20.8 m = ______ cm

- Conversion: 1 m = 100 cm
- Calculation: \( 20.8 \, \text{m} \times 100 = 2080 \, \text{cm} \)
- Answer: \( 2080 \, \text{cm} \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 3.68 \, \text{kg} \\
2. & 670 \, \text{g} \\
3. & 1.01 \, \text{m} \\
4. & 8080 \, \text{mL} \\
5. & 15.8 \, \text{cm} \\
6. & 7850 \, \text{m} \\
7. & 13.57 \, \text{L} \\
8. & 149 \, \text{mm} \\
9. & 0.608 \, \text{km} \\
10. & 3050 \, \text{cm} \\
11. & 27.5 \, \text{m} \\
12. & 5680 \, \text{m} \\
13. & 0.8 \, \text{kg} \\
14. & 4820 \, \text{mL} \\
15. & 8.7 \, \text{L} \\
16. & 90 \, \text{g} \\
17. & 152 \, \text{cm} \\
18. & 120 \, \text{mm} \\
19. & 2.08 \, \text{km} \\
20. & 2080 \, \text{cm} \\
\end{array}
}
\]