Measuring Units Worksheet featuring conversion exercises for length units.

Measuring Units Worksheet: Conversion Problems

The worksheet involves converting between different units of length in the metric system. The key relationships to remember are:

- 1 kilometer (km) = 1,000 meters (m)
- 1 meter (m) = 100 centimeters (cm)
- 1 centimeter (cm) = 10 millimeters (mm)

Using these relationships, we can solve each problem step by step.

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Solutions:

#### 1 a. 7 km = ______ m
- Conversion: \( 1 \text{ km} = 1,000 \text{ m} \)
- Calculation: \( 7 \text{ km} \times 1,000 = 7,000 \text{ m} \)
- Answer: \( 7,000 \text{ m} \)

#### 1 b. 1 cm = ______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 1 \text{ cm} \times 10 = 10 \text{ mm} \)
- Answer: \( 10 \text{ mm} \)

#### 2 a. 10 m = ______ cm
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 10 \text{ m} \times 100 = 1,000 \text{ cm} \)
- Answer: \( 1,000 \text{ cm} \)

#### 2 b. 200 cm = ______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 200 \text{ cm} \div 100 = 2 \text{ m} \)
- Answer: \( 2 \text{ m} \)

#### 3 a. 6,000 m = ______ km
- Conversion: \( 1 \text{ km} = 1,000 \text{ m} \)
- Calculation: \( 6,000 \text{ m} \div 1,000 = 6 \text{ km} \)
- Answer: \( 6 \text{ km} \)

#### 3 b. 3,000 m = ______ km
- Conversion: \( 1 \text{ km} = 1,000 \text{ m} \)
- Calculation: \( 3,000 \text{ m} \div 1,000 = 3 \text{ km} \)
- Answer: \( 3 \text{ km} \)

#### 4 a. 2,000 m = ______ km
- Conversion: \( 1 \text{ km} = 1,000 \text{ m} \)
- Calculation: \( 2,000 \text{ m} \div 1,000 = 2 \text{ km} \)
- Answer: \( 2 \text{ km} \)

#### 4 b. 900 cm = ______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 900 \text{ cm} \div 100 = 9 \text{ m} \)
- Answer: \( 9 \text{ m} \)

#### 5 a. 60 mm = ______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 60 \text{ mm} \div 10 = 6 \text{ cm} \)
- Answer: \( 6 \text{ cm} \)

#### 5 b. 700 cm = ______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 700 \text{ cm} \div 100 = 7 \text{ m} \)
- Answer: \( 7 \text{ m} \)

#### 6 a. 90 mm = ______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 90 \text{ mm} \div 10 = 9 \text{ cm} \)
- Answer: \( 9 \text{ cm} \)

#### 6 b. 9,000 m = ______ km
- Conversion: \( 1 \text{ km} = 1,000 \text{ m} \)
- Calculation: \( 9,000 \text{ m} \div 1,000 = 9 \text{ km} \)
- Answer: \( 9 \text{ km} \)

#### 7 a. 4,000 m = ______ km
- Conversion: \( 1 \text{ km} = 1,000 \text{ m} \)
- Calculation: \( 4,000 \text{ m} \div 1,000 = 4 \text{ km} \)
- Answer: \( 4 \text{ km} \)

#### 7 b. 5,000 m = ______ km
- Conversion: \( 1 \text{ km} = 1,000 \text{ m} \)
- Calculation: \( 5,000 \text{ m} \div 1,000 = 5 \text{ km} \)
- Answer: \( 5 \text{ km} \)

#### 8 a. 8,000 m = ______ km
- Conversion: \( 1 \text{ km} = 1,000 \text{ m} \)
- Calculation: \( 8,000 \text{ m} \div 1,000 = 8 \text{ km} \)
- Answer: \( 8 \text{ km} \)

#### 8 b. 3 cm = ______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 3 \text{ cm} \times 10 = 30 \text{ mm} \)
- Answer: \( 30 \text{ mm} \)

#### 9 a. 7 cm = ______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 7 \text{ cm} \times 10 = 70 \text{ mm} \)
- Answer: \( 70 \text{ mm} \)

#### 9 b. 300 cm = ______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 300 \text{ cm} \div 100 = 3 \text{ m} \)
- Answer: \( 3 \text{ m} \)

#### 10 a. 20 mm = ______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 20 \text{ mm} \div 10 = 2 \text{ cm} \)
- Answer: \( 2 \text{ cm} \)

#### 10 b. 100 mm = ______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 100 \text{ mm} \div 10 = 10 \text{ cm} \)
- Answer: \( 10 \text{ cm} \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1 \text{ a. } 7,000 \text{ m} & 1 \text{ b. } 10 \text{ mm} \\
2 \text{ a. } 1,000 \text{ cm} & 2 \text{ b. } 2 \text{ m} \\
3 \text{ a. } 6 \text{ km} & 3 \text{ b. } 3 \text{ km} \\
4 \text{ a. } 2 \text{ km} & 4 \text{ b. } 9 \text{ m} \\
5 \text{ a. } 6 \text{ cm} & 5 \text{ b. } 7 \text{ m} \\
6 \text{ a. } 9 \text{ cm} & 6 \text{ b. } 9 \text{ km} \\
7 \text{ a. } 4 \text{ km} & 7 \text{ b. } 5 \text{ km} \\
8 \text{ a. } 8 \text{ km} & 8 \text{ b. } 30 \text{ mm} \\
9 \text{ a. } 70 \text{ mm} & 9 \text{ b. } 3 \text{ m} \\
10 \text{ a. } 2 \text{ cm} & 10 \text{ b. } 10 \text{ cm}
\end{array}
}
\]