Metric unit conversion and rounding practice worksheet for students.

Let's solve each problem step by step.

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Part 1: Metric Unit Conversions

We'll use the metric system prefixes and conversion factors:

- Length:
- 1 km = 1,000 m
- 1 m = 100 cm
- 1 cm = 10 mm

- Volume:
- 1 L = 1,000 mL

- Mass:
- 1 kg = 1,000 g
- 1 g = 1,000 mg

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#### 1. 88 mm = ________ cm

Since 1 cm = 10 mm, divide by 10:

> 88 ÷ 10 = 8.8 cm

✔ Answer: 8.8 cm

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#### 2. 5.7 km = ________ m

1 km = 1,000 m → multiply by 1,000:

> 5.7 × 1,000 = 5,700 m

✔ Answer: 5,700 m

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#### 3. 18,500 mL = ________ L

1 L = 1,000 mL → divide by 1,000:

> 18,500 ÷ 1,000 = 18.5 L

✔ Answer: 18.5 L

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#### 4. 15,300 g = ________ kg

1 kg = 1,000 g → divide by 1,000:

> 15,300 ÷ 1,000 = 15.3 kg

✔ Answer: 15.3 kg

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#### 5. 0.023 kg = ________ mg

Convert kg → g → mg:

- 0.023 kg = 0.023 × 1,000 = 23 g
- 23 g = 23 × 1,000 = 23,000 mg

✔ Answer: 23,000 mg

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#### 6. 0.3 cm = ________ mm

1 cm = 10 mm → multiply by 10:

> 0.3 × 10 = 3 mm

✔ Answer: 3 mm

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#### 7. 5,287,945 mm = ________ km

Step-by-step:
- mm → m: divide by 1,000 → 5,287,945 ÷ 1,000 = 5,287.945 m
- m → km: divide by 1,000 → 5,287.945 ÷ 1,000 = 5.287945 km

✔ Answer: 5.287945 km

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#### 8. 12,300 mL = ________ L

1 L = 1,000 mL → divide by 1,000:

> 12,300 ÷ 1,000 = 12.3 L

✔ Answer: 12.3 L

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#### 9. 0.007 km = ________ mm

Step-by-step:
- km → m: 0.007 × 1,000 = 7 m
- m → mm: 7 × 1,000 = 7,000 mm

✔ Answer: 7,000 mm

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#### 10. 0.008 km = ________ cm

Step-by-step:
- km → m: 0.008 × 1,000 = 8 m
- m → cm: 8 × 100 = 800 cm

✔ Answer: 800 cm

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Part 2: Rounding to the Nearest Tenth

Rounding to the nearest tenth means keeping one digit after the decimal point.

We look at the hundredths place (second digit after decimal):
- If it’s 5 or more, round up.
- If it’s less than 5, keep the tenths digit same.

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#### 11) 6.78

- Tenths: 7
- Hundredths: 8 → ≥ 5 → round up
- 6.78 → 6.8

✔ Answer: 6.8

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#### 12) 8.210

- Tenths: 2
- Hundredths: 1 → < 5 → keep 2
- 8.210 → 8.2

✔ Answer: 8.2

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#### 13) 3.0682

- Tenths: 0
- Hundredths: 6 → ≥ 5 → round up the tenths from 0 to 1
- So, 3.0682 → 3.1

✔ Answer: 3.1

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#### 14) 82.921

- Tenths: 9
- Hundredths: 2 → < 5 → keep 9
- 82.921 → 82.9

✔ Answer: 82.9

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#### 15) 15.23

- Tenths: 2
- Hundredths: 3 → < 5 → keep 2
- 15.23 → 15.2

✔ Answer: 15.2

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✔ Final Answers:

#### Conversions:
1. 8.8 cm
2. 5,700 m
3. 18.5 L
4. 15.3 kg
5. 23,000 mg
6. 3 mm
7. 5.287945 km
8. 12.3 L
9. 7,000 mm
10. 800 cm

#### Rounding:
11. 6.8
12. 8.2
13. 3.1
14. 82.9
15. 15.2

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