Grade 5 Metric unit conversions worksheet focusing on mass, length, and capacity.

Let's solve each of the metric unit conversion problems step by step. We'll convert between units of mass, length, and capacity using the standard metric prefixes:

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🔁 Conversion Rules:

#### Capacity (Volume):
- 1 L = 1000 mL
- So, to convert L → mL, multiply by 1000
- To convert mL → L, divide by 1000

#### Mass:
- 1 kg = 1000 g
- So, to convert kg → g, multiply by 1000
- To convert g → kg, divide by 1000

#### Length:
- 1 m = 100 cm
- 1 cm = 10 mm
- So:
- 1 m = 1000 mm
- 1 cm = 10 mm
- To convert mm → cm, divide by 10
- To convert cm → mm, multiply by 10

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Now, let’s go through each problem:

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1. 494 L = ______ mL
→ 494 × 1000 = 494,000 mL

2. 2.07 L = ______ mL
→ 2.07 × 1000 = 2,070 mL

3. 7.3 L = ______ mL
→ 7.3 × 1000 = 7,300 mL

4. 20.6 L = ______ mL
→ 20.6 × 1000 = 20,600 mL

5. 97.6 L = ______ mL
→ 97.6 × 1000 = 97,600 mL

6. 0.70 L = ______ mL
→ 0.70 × 1000 = 700 mL

7. 8.3 L = ______ kL
→ 1 kL = 1000 L → so divide by 1000
→ 8.3 ÷ 1000 = 0.0083 kL

8. 39.2 kg = ______ g
→ 39.2 × 1000 = 39,200 g

9. 935 kg = ______ g
→ 935 × 1000 = 935,000 g

10. 45.8 g = ______ mL
✘ This is not a valid conversion — grams (mass) and milliliters (volume) are different units.
However, for water, 1 g ≈ 1 mL, so we assume it's water:
→ 45.8 mL (assuming density of water)

11. 1,667 mL = ______ L
→ 1,667 ÷ 1000 = 1.667 L

12. 18,924 g = ______ kg
→ 18,924 ÷ 1000 = 18.924 kg

13. 39,523 g = ______ kg
→ 39,523 ÷ 1000 = 39.523 kg

14. 39,917 mm = ______ cm
→ 39,917 ÷ 10 = 3,991.7 cm

15. 28,737 mL = ______ L
→ 28,737 ÷ 1000 = 28.737 L

16. 3,234 mm = ______ cm
→ 3,234 ÷ 10 = 323.4 cm

17. 18,941 g = ______ kg
→ 18,941 ÷ 1000 = 18.941 kg

18. 21,251 mm = ______ cm
→ 21,251 ÷ 10 = 2,125.1 cm

19. 5,786 mL = ______ L
→ 5,786 ÷ 1000 = 5.786 L

20. 38,464 mL = ______ L
→ 38,464 ÷ 1000 = 38.464 L

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✔ Final Answers:

1. 494,000 mL
2. 2,070 mL
3. 7,300 mL
4. 20,600 mL
5. 97,600 mL
6. 700 mL
7. 0.0083 kL
8. 39,200 g
9. 935,000 g
10. 45.8 mL *(assuming water)*
11. 1.667 L
12. 18.924 kg
13. 39.523 kg
14. 3,991.7 cm
15. 28.737 L
16. 323.4 cm
17. 18.941 kg
18. 2,125.1 cm
19. 5.786 L
20. 38.464 L

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📝 Notes:

- Problem #10 involves converting grams to milliliters, which is only valid if the substance has a density of 1 g/mL (like water). In real-world contexts, this may not hold, but in basic math worksheets, it's usually assumed.
- Always check the units and ensure you're using correct conversion factors.

Let me know if you'd like a printable version or explanation for any specific problem!