Printable worksheet for practicing metric unit conversions in length measurements.

To solve the problems in the "Measuring Units Worksheet," we need to use the relationships between different metric units. Here are the key conversions to remember:

- 1 cm = 10 mm
- 1 dm = 10 cm
- 1 m = 10 dm
- 1 hm = 100 m
- 1 dam = 10 m
- 1 km = 1000 m

Using these relationships, let's solve each problem step by step.

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1 a. 3.9 cm = _______ mm

- Conversion: 1 cm = 10 mm
- Calculation: \( 3.9 \times 10 = 39 \)
- Answer: 39 mm

1 b. 10 dm = _______ m

- Conversion: 1 dm = 0.1 m (or 1 m = 10 dm)
- Calculation: \( 10 \div 10 = 1 \)
- Answer: 1 m

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2 a. 8.6 km = _______ hm

- Conversion: 1 km = 10 hm
- Calculation: \( 8.6 \times 10 = 86 \)
- Answer: 86 hm

2 b. 30 dm = _______ m

- Conversion: 1 dm = 0.1 m (or 1 m = 10 dm)
- Calculation: \( 30 \div 10 = 3 \)
- Answer: 3 m

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3 a. 90 dm = _______ m

- Conversion: 1 dm = 0.1 m (or 1 m = 10 dm)
- Calculation: \( 90 \div 10 = 9 \)
- Answer: 9 m

3 b. 4 hm = _______ dm

- Conversion: 1 hm = 100 m and 1 m = 10 dm, so 1 hm = 1000 dm
- Calculation: \( 4 \times 1000 = 4000 \)
- Answer: 4000 dm

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4 a. 170 dm = _______ dam

- Conversion: 1 dm = 0.1 m and 1 dam = 10 m, so 1 dm = 0.01 dam
- Calculation: \( 170 \times 0.01 = 1.7 \)
- Answer: 1.7 dam

4 b. 51 mm = _______ cm

- Conversion: 1 mm = 0.1 cm (or 1 cm = 10 mm)
- Calculation: \( 51 \div 10 = 5.1 \)
- Answer: 5.1 cm

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5 a. 26 hm = _______ km

- Conversion: 1 hm = 0.1 km (or 1 km = 10 hm)
- Calculation: \( 26 \div 10 = 2.6 \)
- Answer: 2.6 km

5 b. 54 hm = _______ km

- Conversion: 1 hm = 0.1 km (or 1 km = 10 hm)
- Calculation: \( 54 \div 10 = 5.4 \)
- Answer: 5.4 km

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6 a. 3 cm = _______ mm

- Conversion: 1 cm = 10 mm
- Calculation: \( 3 \times 10 = 30 \)
- Answer: 30 mm

6 b. 390 cm = _______ m

- Conversion: 1 cm = 0.01 m (or 1 m = 100 cm)
- Calculation: \( 390 \div 100 = 3.9 \)
- Answer: 3.9 m

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7 a. 7 dam = _______ m

- Conversion: 1 dam = 10 m
- Calculation: \( 7 \times 10 = 70 \)
- Answer: 70 m

7 b. 1 dam = _______ cm

- Conversion: 1 dam = 10 m and 1 m = 100 cm, so 1 dam = 1000 cm
- Calculation: \( 1 \times 1000 = 1000 \)
- Answer: 1000 cm

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8 a. 9.8 hm = _______ dm

- Conversion: 1 hm = 100 m and 1 m = 10 dm, so 1 hm = 1000 dm
- Calculation: \( 9.8 \times 1000 = 9800 \)
- Answer: 9800 dm

8 b. 60,000 cm = _______ hm

- Conversion: 1 cm = 0.0001 hm (or 1 hm = 10,000 cm)
- Calculation: \( 60,000 \div 10,000 = 6 \)
- Answer: 6 hm

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9 a. 9.6 dm = _______ cm

- Conversion: 1 dm = 10 cm
- Calculation: \( 9.6 \times 10 = 96 \)
- Answer: 96 cm

9 b. 8 hm = _______ dm

- Conversion: 1 hm = 100 m and 1 m = 10 dm, so 1 hm = 1000 dm
- Calculation: \( 8 \times 1000 = 8000 \)
- Answer: 8000 dm

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10 a. 400 m = _______ hm

- Conversion: 1 hm = 100 m
- Calculation: \( 400 \div 100 = 4 \)
- Answer: 4 hm

10 b. 6 dm = _______ mm

- Conversion: 1 dm = 100 mm
- Calculation: \( 6 \times 100 = 600 \)
- Answer: 600 mm

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1 \text{ a. } 39 \text{ mm} & 1 \text{ b. } 1 \text{ m} \\
2 \text{ a. } 86 \text{ hm} & 2 \text{ b. } 3 \text{ m} \\
3 \text{ a. } 9 \text{ m} & 3 \text{ b. } 4000 \text{ dm} \\
4 \text{ a. } 1.7 \text{ dam} & 4 \text{ b. } 5.1 \text{ cm} \\
5 \text{ a. } 2.6 \text{ km} & 5 \text{ b. } 5.4 \text{ km} \\
6 \text{ a. } 30 \text{ mm} & 6 \text{ b. } 3.9 \text{ m} \\
7 \text{ a. } 70 \text{ m} & 7 \text{ b. } 1000 \text{ cm} \\
8 \text{ a. } 9800 \text{ dm} & 8 \text{ b. } 6 \text{ hm} \\
9 \text{ a. } 96 \text{ cm} & 9 \text{ b. } 8000 \text{ dm} \\
10 \text{ a. } 4 \text{ hm} & 10 \text{ b. } 600 \text{ mm}
\end{array}
}
\]