Metric conversion worksheet for practicing unit conversions.

Let's solve each of these metric conversion problems step by step. We'll use the standard metric prefixes and their relationships:

Metric Prefixes (from largest to smallest):

- kilo (k) = 10³
- hecto (h) = 10²
- deca (da) = 10¹
- base unit (g, L, m)
- deci (d) = 10⁻¹
- centi (c) = 10⁻²
- milli (m) = 10⁻³
- micro (μ) = 10⁻⁶

Also remember:
- 1 cm³ = 1 mL
- 1 cc = 1 mL = 1 cm³

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1. 36.52 mg = ______ g

Convert milligrams to grams:
1 g = 1000 mg → divide by 1000
36.52 ÷ 1000 = 0.03652 g

✔ Answer: 0.03652 g

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2. 14.72 kg = ______ mg

Convert kilograms to milligrams:
1 kg = 1000 g, 1 g = 1000 mg → 1 kg = 1,000,000 mg
So multiply by 1,000,000
14.72 × 1,000,000 = 14,720,000 mg

✔ Answer: 14,720,000 mg

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3. 0.0035 hm = ______ dm

Convert hectometers to decimeters:
1 hm = 100 m
1 m = 10 dm → so 1 hm = 100 × 10 = 1000 dm
So 0.0035 hm × 1000 = 3.5 dm

✔ Answer: 3.5 dm

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4. 0.134 m = ______ km

Convert meters to kilometers:
1 km = 1000 m → divide by 1000
0.134 ÷ 1000 = 0.000134 km

✔ Answer: 0.000134 km

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5. 25 mm = ______ cm

Convert millimeters to centimeters:
1 cm = 10 mm → divide by 10
25 ÷ 10 = 2.5 cm

✔ Answer: 2.5 cm

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6. 2.5 cm³ = ______ mL

Note: 1 cm³ = 1 mL
So 2.5 cm³ = 2.5 mL

✔ Answer: 2.5 mL

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7. 243 daL = ______ L

Decaliter (daL) to liter (L):
1 daL = 10 L
243 × 10 = 2430 L

✔ Answer: 2430 L

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8. 45.23 L = ______ mL

Convert liters to milliliters:
1 L = 1000 mL
45.23 × 1000 = 45,230 mL

✔ Answer: 45,230 mL

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9. 0.035 hL = ______ cL

Hectoliter to centiliter:
1 hL = 100 L
1 L = 100 cL → so 1 hL = 100 × 100 = 10,000 cL
So 0.035 hL × 10,000 = 350 cL

✔ Answer: 350 cL

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10. 27.32 mm = ______ m

Millimeters to meters:
1 m = 1000 mm → divide by 1000
27.32 ÷ 1000 = 0.02732 m

✔ Answer: 0.02732 m

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11. 15 m = ______ dm

Meters to decimeters:
1 m = 10 dm
15 × 10 = 150 dm

✔ Answer: 150 dm

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12. 0.023 cc = ______ L

cc = cubic centimeter = mL
So 0.023 cc = 0.023 mL
Now convert mL to L:
1 L = 1000 mL → divide by 1000
0.023 ÷ 1000 = 0.000023 L

✔ Answer: 0.000023 L

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13. 0.00049 km = ______ mm

Kilometers to millimeters:
1 km = 1000 m
1 m = 1000 mm → 1 km = 1,000,000 mm
So 0.00049 km × 1,000,000 = 490 mm

✔ Answer: 490 mm

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14. 0.025 kg = ______ g

Kilograms to grams:
1 kg = 1000 g
0.025 × 1000 = 25 g

✔ Answer: 25 g

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15. 15 g = ______ hg

Grams to hectograms:
1 hg = 100 g → divide by 100
15 ÷ 100 = 0.15 hg

✔ Answer: 0.15 hg

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✔ Final Answers:

1. 0.03652 g
2. 14,720,000 mg
3. 3.5 dm
4. 0.000134 km
5. 2.5 cm
6. 2.5 mL
7. 2430 L
8. 45,230 mL
9. 350 cL
10. 0.02732 m
11. 150 dm
12. 0.000023 L
13. 490 mm
14. 25 g
15. 0.15 hg

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