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Printable worksheet for practicing metric unit conversions, featuring 10 questions with two parts each, covering mass, length, and volume measurements.

Measuring Units Worksheet with conversion problems for metric units including grams, kilograms, centimeters, meters, liters, and more.

Measuring Units Worksheet with conversion problems for metric units including grams, kilograms, centimeters, meters, liters, and more.

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Show Answer Key & Explanations Step-by-step solution for: Free grade 5 measuring worksheets
Sure! Let’s solve each conversion problem step by step. These are metric unit conversions, so we’ll use the standard metric prefixes and their relationships.

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Metric Prefixes (for reference):



Length:
- km (kilometer) = 1000 m
- hm (hectometer) = 100 m
- dam (decameter) = 10 m
- m (meter)
- dm (decimeter) = 0.1 m
- cm (centimeter) = 0.01 m
- mm (millimeter) = 0.001 m

Mass:
- kg (kilogram) = 1000 g
- hg (hectogram) = 100 g
- dag (decagram) = 10 g
- g (gram)
- dg (decigram) = 0.1 g
- cg (centigram) = 0.01 g
- mg (milligram) = 0.001 g

Volume:
- kl (kiloliter) = 1000 L
- hl (hectoliter) = 100 L
- dal (decaliter) = 10 L
- L (liter)
- dl (deciliter) = 0.1 L
- cl (centiliter) = 0.01 L
- ml (milliliter) = 0.001 L

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## SOLUTIONS:

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1 a. 32 dg = ______ g
→ 1 dg = 0.1 g → 32 × 0.1 = 3.2 g

1 b. 8 g = ______ cg
→ 1 g = 100 cg → 8 × 100 = 800 cg

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2 a. 59 g = ______ dag
→ 1 dag = 10 g → 59 ÷ 10 = 5.9 dag

2 b. 1 hg = ______ dg
→ 1 hg = 100 g, 1 g = 10 dg → 100 × 10 = 1,000 dg

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3 a. 12 hm = ______ km
→ 1 km = 10 hm → 12 ÷ 10 = 1.2 km

3 b. 9 km = ______ dam
→ 1 km = 100 dam → 9 × 100 = 900 dam

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4 a. 7.3 kg = ______ dag
→ 1 kg = 1000 g, 1 dag = 10 g → 1 kg = 100 dag → 7.3 × 100 = 730 dag

4 b. 1,600 mg = ______ g
→ 1 g = 1000 mg → 1600 ÷ 1000 = 1.6 g

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5 a. 5 dm = ______ mm
→ 1 dm = 100 mm → 5 × 100 = 500 mm

5 b. 480 m = ______ hm
→ 1 hm = 100 m → 480 ÷ 100 = 4.8 hm

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6 a. 9.8 cm = ______ mm
→ 1 cm = 10 mm → 9.8 × 10 = 98 mm

6 b. 7 hl = ______ dl
→ 1 hl = 100 L, 1 L = 10 dl → 1 hl = 1000 dl → 7 × 1000 = 7,000 dl

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7 a. 10 cg = ______ dg
→ 1 dg = 10 cg → 10 ÷ 10 = 1 dg

7 b. 9 dam = ______ m
→ 1 dam = 10 m → 9 × 10 = 90 m

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8 a. 6 hl = ______ L
→ 1 hl = 100 L → 6 × 100 = 600 L

8 b. 5.4 m = ______ cm
→ 1 m = 100 cm → 5.4 × 100 = 540 cm

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9 a. 7.6 kl = ______ hl
→ 1 kl = 10 hl → 7.6 × 10 = 76 hl

9 b. 4.9 dag = ______ dg
→ 1 dag = 100 dg → 4.9 × 100 = 490 dg

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10 a. 10 hl = ______ dl
→ 1 hl = 1000 dl → 10 × 1000 = 10,000 dl

10 b. 1,000 cm = ______ dam
→ 1 dam = 1000 cm → 1000 ÷ 1000 = 1 dam

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## 📝 Final Answers:

1a. 3.2 g
1b. 800 cg
2a. 5.9 dag
2b. 1,000 dg
3a. 1.2 km
3b. 900 dam
4a. 730 dag
4b. 1.6 g
5a. 500 mm
5b. 4.8 hm
6a. 98 mm
6b. 7,000 dl
7a. 1 dg
7b. 90 m
8a. 600 L
8b. 540 cm
9a. 76 hl
9b. 490 dg
10a. 10,000 dl
10b. 1 dam

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All problems solved using metric conversion rules. You can always remember: moving left in the metric scale divides by 10 for each step; moving right multiplies by 10 for each step.

Let me know if you’d like a visual chart or mnemonic to help remember these conversions!
Parent Tip: Review the logic above to help your child master the concept of converting metric units worksheet 5th grade.
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