Metric Conversion Worksheets - Math Monks - Free Printable

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

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

- Mass:
- 1 kg = 1000 g

- Volume:
- 1 L = 1000 mL

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

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1) 4.9 L = ______ mL

- Conversion: 1 L = 1000 mL
- Calculation: \( 4.9 \times 1000 = 4900 \)
- Answer: 4900 mL

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2) 5.75 kg = ______ g

- Conversion: 1 kg = 1000 g
- Calculation: \( 5.75 \times 1000 = 5750 \)
- Answer: 5750 g

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3) 320 mm = ______ cm

- Conversion: 1 cm = 10 mm, so 1 mm = 0.1 cm
- Calculation: \( 320 \div 10 = 32 \)
- Answer: 32 cm

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4) ______ km = 1350 m

- Conversion: 1 km = 1000 m, so 1 m = 0.001 km
- Calculation: \( 1350 \div 1000 = 1.35 \)
- Answer: 1.35 km

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5) ______ m = 147 cm

- Conversion: 1 m = 100 cm, so 1 cm = 0.01 m
- Calculation: \( 147 \div 100 = 1.47 \)
- Answer: 1.47 m

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6) 2850 mL = ______ L

- Conversion: 1 L = 1000 mL, so 1 mL = 0.001 L
- Calculation: \( 2850 \div 1000 = 2.85 \)
- Answer: 2.85 L

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7) 530 g = ______ kg

- Conversion: 1 kg = 1000 g, so 1 g = 0.001 kg
- Calculation: \( 530 \div 1000 = 0.53 \)
- Answer: 0.53 kg

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8) 70 cm = ______ mm

- Conversion: 1 cm = 10 mm
- Calculation: \( 70 \times 10 = 700 \)
- Answer: 700 mm

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9) 6.8 m = ______ cm

- Conversion: 1 m = 100 cm
- Calculation: \( 6.8 \times 100 = 680 \)
- Answer: 680 cm

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10) 1.15 km = ______ m

- Conversion: 1 km = 1000 m
- Calculation: \( 1.15 \times 1000 = 1150 \)
- Answer: 1150 m

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11) 18600 mL = ______ L

- Conversion: 1 L = 1000 mL, so 1 mL = 0.001 L
- Calculation: \( 18600 \div 1000 = 18.6 \)
- Answer: 18.6 L

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12) ______ g = 10.5 kg

- Conversion: 1 kg = 1000 g
- Calculation: \( 10.5 \times 1000 = 10500 \)
- Answer: 10500 g

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13) ______ mm = 6 cm

- Conversion: 1 cm = 10 mm
- Calculation: \( 6 \times 10 = 60 \)
- Answer: 60 mm

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14) ______ m = 4.45 km

- Conversion: 1 km = 1000 m
- Calculation: \( 4.45 \times 1000 = 4450 \)
- Answer: 4450 m

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15) 12 cm = ______ m

- Conversion: 1 m = 100 cm, so 1 cm = 0.01 m
- Calculation: \( 12 \div 100 = 0.12 \)
- Answer: 0.12 m

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16) 3.43 L = ______ mL

- Conversion: 1 L = 1000 mL
- Calculation: \( 3.43 \times 1000 = 3430 \)
- Answer: 3430 mL

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17) 1650 g = ______ kg

- Conversion: 1 kg = 1000 g, so 1 g = 0.001 kg
- Calculation: \( 1650 \div 1000 = 1.65 \)
- Answer: 1.65 kg

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18) 17.5 cm = ______ mm

- Conversion: 1 cm = 10 mm
- Calculation: \( 17.5 \times 10 = 175 \)
- Answer: 175 mm

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19) 1.57 mL = ______ L

- Conversion: 1 L = 1000 mL, so 1 mL = 0.001 L
- Calculation: \( 1.57 \div 1000 = 0.00157 \)
- Answer: 0.00157 L

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20) 8090 g = ______ kg

- Conversion: 1 kg = 1000 g, so 1 g = 0.001 kg
- Calculation: \( 8090 \div 1000 = 8.09 \)
- Answer: 8.09 kg

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Final Answers:

1. 4900 mL
2. 5750 g
3. 32 cm
4. 1.35 km
5. 1.47 m
6. 2.85 L
7. 0.53 kg
8. 700 mm
9. 680 cm
10. 1150 m
11. 18.6 L
12. 10500 g
13. 60 mm
14. 4450 m
15. 0.12 m
16. 3430 mL
17. 1.65 kg
18. 175 mm
19. 0.00157 L
20. 8.09 kg

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 4900 \text{ mL} \\
2. & 5750 \text{ g} \\
3. & 32 \text{ cm} \\
4. & 1.35 \text{ km} \\
5. & 1.47 \text{ m} \\
6. & 2.85 \text{ L} \\
7. & 0.53 \text{ kg} \\
8. & 700 \text{ mm} \\
9. & 680 \text{ cm} \\
10. & 1150 \text{ m} \\
11. & 18.6 \text{ L} \\
12. & 10500 \text{ g} \\
13. & 60 \text{ mm} \\
14. & 4450 \text{ m} \\
15. & 0.12 \text{ m} \\
16. & 3430 \text{ mL} \\
17. & 1.65 \text{ kg} \\
18. & 175 \text{ mm} \\
19. & 0.00157 \text{ L} \\
20. & 8.09 \text{ kg} \\
\end{array}
}
\]