Metric to Metric Conversions worksheet with 20 problems for practicing unit conversions in the metric system.

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:

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