Metric conversion worksheet for practicing unit conversions in science.

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

Metric Prefixes (from largest to smallest):

- kilo (k) = 10³
- hecto (h) = 10²
- deca (da) = 10¹
- base unit (g, m, L)
- deci (d) = 10⁻¹
- centi (c) = 10⁻²
- milli (m) = 10⁻³
- micro (μ) = 10⁻⁶ (not used here)

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

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Now let’s go through each problem:

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1. 36.52 mg = ________ g

- milligram → gram: divide by 1000 (since 1 g = 1000 mg)
- $ 36.52 \div 1000 = 0.03652 $
- ✔ 0.03652 g

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2. 14.72 kg = ________ mg

- kilogram → milligram: multiply by 1,000,000 (1 kg = 1000 g, 1 g = 1000 mg → 1 kg = 10⁶ mg)
- $ 14.72 \times 1,000,000 = 14,720,000 $
- ✔ 14,720,000 mg

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3. 0.0035 hm = ________ dm

- hectometer (hm) → decimeter (dm)
- 1 hm = 100 m
- 1 m = 10 dm → so 1 hm = 100 × 10 = 1000 dm
- So, $ 0.0035 \times 1000 = 3.5 $
- ✔ 3.5 dm

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4. 0.134 m = ________ km

- meter → kilometer: divide by 1000
- $ 0.134 \div 1000 = 0.000134 $
- ✔ 0.000134 km

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5. 25 mm = ________ cm

- millimeter → centimeter: divide by 10 (1 cm = 10 mm)
- $ 25 \div 10 = 2.5 $
- ✔ 2.5 cm

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6. 2.5 cm³ = ________ mL

- 1 cm³ = 1 mL
- ✔ 2.5 mL

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7. 243 daL = ________ L

- dekaliter → liter: 1 daL = 10 L
- $ 243 \times 10 = 2430 $
- ✔ 2430 L

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8. 45.23 L = ________ mL

- liter → milliliter: multiply by 1000
- $ 45.23 \times 1000 = 45,230 $
- ✔ 45,230 mL

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9. 0.035 hL = ________ cL

- hectoliter → centiliter
- 1 hL = 100 L
- 1 L = 100 cL → so 1 hL = 100 × 100 = 10,000 cL
- $ 0.035 \times 10,000 = 350 $
- ✔ 350 cL

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10. 27.32 mm = ________ m

- millimeter → meter: divide by 1000
- $ 27.32 \div 1000 = 0.02732 $
- ✔ 0.02732 m

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11. 15 m = ________ dm

- meter → decimeter: multiply by 10 (1 m = 10 dm)
- $ 15 \times 10 = 150 $
- ✔ 150 dm

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12. 0.023 cc = ________ L

- cc = cubic centimeter = mL
- 1 mL = 0.001 L
- $ 0.023 \times 0.001 = 0.000023 $
- ✔ 0.000023 L

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13. 0.00049 km = ________ mm

- kilometer → millimeter
- 1 km = 1000 m
- 1 m = 1000 mm → 1 km = 1,000,000 mm
- $ 0.00049 \times 1,000,000 = 490 $
- ✔ 490 mm

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14. 0.025 kg = ________ g

- kilogram → gram: multiply by 1000
- $ 0.025 \times 1000 = 25 $
- ✔ 25 g

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15. 15 g = ________ hg

- gram → hectogram: divide by 100 (1 hg = 100 g)
- $ 15 \div 100 = 0.15 $
- ✔ 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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