Metric Conversion Worksheet | PDF | Litre | Quantity - Free Printable

Let's go through the Metric Conversion Worksheet and verify each answer, explaining the reasoning behind the correct conversions. The metric system uses prefixes that represent powers of ten, and the mnemonic KHD B D C M stands for:

- Kilo (10³)
- Hecto (10²)
- Deca (10¹)
- Base unit (meters, grams, liters)
- Deci (10⁻¹)
- Centi (10⁻²)
- Milli (10⁻³)

We move the decimal point based on how many steps we move from one unit to another.

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1. 5 meters = ___ km

- From meters (m) to kilometers (km): move 3 places left (since km is 3 steps above m).
- 5 m = 0.005 km ✔
✔ Correct

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2. 3 grams = ___ milligrams

- From grams (g) to milligrams (mg): move 3 places right (mg is 3 steps below g).
- 3 g = 3,000 mg ✘
✘ Incorrect — Answer should be 3,000, not 0.003

> Correction: 3 g = 3,000 mg

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3. 7 meters = ___ cm

- From meters (m) to centimeters (cm): move 2 places right.
- 7 m = 700 cm ✘
✘ Incorrect — Answer should be 700, not 0.07

> Correction: 7 m = 700 cm

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4. 60 milligrams = ___ km

- This is a mass to length conversion — invalid!
- Milligrams (mg) measure mass; kilometers (km) measure distance.
- ✘ Not possible — cannot convert mg to km
> Correction: This question is invalid. Likely meant to be 60 mg = ? g or ? kg

Assuming it was meant to be 60 mg = ? g:
- 60 mg = 0.06 g
But as written: ✘ Invalid conversion

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5. 2.5 meters = ___ mm

- From meters → millimeters: 3 places right.
- 2.5 m = 2,500 mm ✘
✘ Incorrect — Answer should be 2,500, not 0.0025

> Correction: 2.5 m = 2,500 mm

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6. 4.5 centimeters = ___ km

- Again, length to length, but cm to km is a huge jump.
- From cm → km: 5 places left (cm → dm → m → dam → hm → km)
- 4.5 cm = 0.000045 km ✘
✘ Incorrect — Answer should be 0.000045, not 45,000

> Correction: 4.5 cm = 0.000045 km

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7. 77 meters = ___ dm

- From meters → decimeters (dm): 1 place right.
- 77 m = 770 dm ✘
✘ Incorrect — Answer should be 770, not 7.7

> Correction: 77 m = 770 dm

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8. 37 decimeters = ___ mm

- From decimeters → millimeters: 2 places right (dm → cm → mm)
- 37 dm = 3,700 mm ✘
✘ Incorrect — Answer should be 3,700, not 0.037

> Correction: 37 dm = 3,700 mm

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9. .002 centimeters = ___ mm

- From cm → mm: 1 place right.
- 0.002 cm = 0.02 mm ✘
✘ Incorrect — Answer should be 0.02, not 0.0002

> Correction: 0.002 cm = 0.02 mm

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10. 44 millimeters = ___ m

- From mm → m: 3 places left.
- 44 mm = 0.044 m ✔
✔ Correct

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11. 25 kilometers = ___ m

- From km → m: 3 places right.
- 25 km = 25,000 m ✘
✘ Incorrect — Answer should be 25,000, not 0.025

> Correction: 25 km = 25,000 m

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12. 880 meters = ___ cm

- From m → cm: 2 places right.
- 880 m = 88,000 cm ✘
✘ Incorrect — Answer should be 88,000, not 8.80

> Correction: 880 m = 88,000 cm

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13. 9.5 kiloliters = ___ deciliters

- Kiloliters (kL) → deciliters (dL):
- kL → L → dL: 4 steps right (kL → hL → daL → L → dL)
- So, 9.5 kL = 9.5 × 10⁴ dL = 95,000 dL ✘
✘ Incorrect — Answer should be 95,000, not 0.95

> Correction: 9.5 kL = 95,000 dL

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14. 66 decimeters = ___ decameters

- Decimeters (dm) → decameters (dam):
- dm → m → dam: 2 steps left
- 66 dm = 6.6 dam ✘
✘ Incorrect — Answer should be 6.6, not 0.66

> Correction: 66 dm = 6.6 dam

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15. 5 liters = ___ hectoliters

- Liters (L) → hectoliters (hL): 2 steps left (L → hL)
- 5 L = 0.05 hL ✔
✔ Correct

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## ✔ Summary of Correct Answers:

| Problem | Correct Answer | Explanation |
|--------|----------------|-----------|
| 1 | 0.005 km | 5 m → km: 3 places left |
| 2 | 3,000 mg | 3 g → mg: 3 places right |
| 3 | 700 cm | 7 m → cm: 2 places right |
| 4 | Invalid | mg ≠ km — different units |
| 5 | 2,500 mm | 2.5 m → mm: 3 places right |
| 6 | 0.000045 km | 4.5 cm → km: 5 places left |
| 7 | 770 dm | 77 m → dm: 1 place right |
| 8 | 3,700 mm | 37 dm → mm: 2 places right |
| 9 | 0.02 mm | 0.002 cm → mm: 1 place right |
| 10 | 0.044 m | 44 mm → m: 3 places left |
| 11 | 25,000 m | 25 km → m: 3 places right |
| 12 | 88,000 cm | 880 m → cm: 2 places right |
| 13 | 95,000 dL | 9.5 kL → dL: 4 places right |
| 14 | 6.6 dam | 66 dm → dam: 2 places left |
| 15 | 0.05 hL | 5 L → hL: 2 places left |

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## 🔍 Final Notes:
- Most answers in the worksheet are incorrect due to wrong direction of decimal movement.
- The only correct answers are:
- #1: 0.005 km
- #10: 0.044 m
- #15: 0.05 hL

⚠️ Be careful with:
- Direction of conversion (left/right)
- Number of decimal places moved
- Units must be compatible (e.g., you can't convert mass to length)

Let me know if you'd like a corrected version of the worksheet!