Printable worksheet for practicing metric unit conversions.

Let's solve each problem on the Measuring Units Worksheet step by step. We'll convert the given units using metric system prefixes and conversion factors.

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🔁 Metric Prefixes (Review):

| Prefix | Symbol | Value |
|--------|--------|-------|
| kilo- | k | 1,000 |
| hecto- | h | 100 |
| deka- | da | 10 |
| base | | 1 |
| deci- | d | 0.1 |
| centi- | c | 0.01 |
| milli- | m | 0.001 |

Each step up/down the scale is a factor of 10.

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✔ Solutions:

#### 1a. 32 dg = ________ g
- 1 dg = 0.1 g → So, 32 dg = 32 × 0.1 = 3.2 g

> ✔ Answer: 3.2 g

#### 1b. 8 g = ________ cg
- 1 g = 100 cg → So, 8 g = 8 × 100 = 800 cg

> ✔ Answer: 800 cg

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#### 2a. 59 g = ________ dag
- 1 dag = 10 g → So, 59 g ÷ 10 = 5.9 dag

> ✔ Answer: 5.9 dag

#### 2b. 1 hg = ________ dg
- 1 hg = 100 g
- 1 g = 10 dg → So, 100 g = 100 × 10 = 1,000 dg

> ✔ Answer: 1,000 dg

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#### 3a. 12 hm = ________ km
- 1 hm = 0.1 km → So, 12 hm = 12 × 0.1 = 1.2 km

> ✔ Answer: 1.2 km

#### 3b. 9 km = ________ dam
- 1 km = 1000 m
- 1 dam = 10 m → So, 1 km = 1000 ÷ 10 = 100 dam
→ 9 km = 9 × 100 = 900 dam

> ✔ Answer: 900 dam

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#### 4a. 7.3 kg = ________ dag
- 1 kg = 1000 g
- 1 dag = 10 g → So, 1 kg = 1000 ÷ 10 = 100 dag
→ 7.3 kg = 7.3 × 100 = 730 dag

> ✔ Answer: 730 dag

#### 4b. 1,600 mg = ________ g
- 1 g = 1000 mg → So, 1,600 mg ÷ 1000 = 1.6 g

> ✔ Answer: 1.6 g

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#### 5a. 5 dm = ________ mm
- 1 dm = 10 cm = 100 mm → So, 5 dm = 5 × 100 = 500 mm

> ✔ Answer: 500 mm

#### 5b. 480 m = ________ hm
- 1 hm = 100 m → So, 480 m ÷ 100 = 4.8 hm

> ✔ Answer: 4.8 hm

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#### 6a. 9.8 cm = ________ mm
- 1 cm = 10 mm → So, 9.8 cm = 9.8 × 10 = 98 mm

> ✔ Answer: 98 mm

#### 6b. 7 hl = ________ dl
- 1 hl = 100 L
- 1 L = 10 dl → So, 1 hl = 100 × 10 = 1,000 dl
→ 7 hl = 7 × 1,000 = 7,000 dl

> ✔ Answer: 7,000 dl

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#### 7a. 10 cg = ________ dg
- 1 dg = 10 cg → So, 10 cg ÷ 10 = 1 dg

> ✔ Answer: 1 dg

#### 7b. 9 dam = ________ m
- 1 dam = 10 m → So, 9 dam = 9 × 10 = 90 m

> ✔ Answer: 90 m

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#### 8a. 6 hl = ________ L
- 1 hl = 100 L → So, 6 hl = 6 × 100 = 600 L

> ✔ Answer: 600 L

#### 8b. 5.4 m = ________ cm
- 1 m = 100 cm → So, 5.4 m = 5.4 × 100 = 540 cm

> ✔ Answer: 540 cm

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#### 9a. 7.6 kl = ________ hl
- 1 kl = 10 hl → So, 7.6 kl = 7.6 × 10 = 76 hl

> ✔ Answer: 76 hl

#### 9b. 4.9 dag = ________ dg
- 1 dag = 10 g
- 1 g = 10 dg → So, 1 dag = 100 dg
→ 4.9 dag = 4.9 × 100 = 490 dg

> ✔ Answer: 490 dg

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#### 10a. 10 hl = ________ dl
- 1 hl = 100 L
- 1 L = 10 dl → So, 1 hl = 1,000 dl
→ 10 hl = 10 × 1,000 = 10,000 dl

> ✔ Answer: 10,000 dl

#### 10b. 1,000 cm = ________ dam
- 1 dam = 10 m = 1000 cm → So, 1,000 cm = 1 dam

> ✔ Answer: 1 dam

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 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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