Unit conversion practice worksheet for converting between millimeters, centimeters, meters, and kilometers.
A worksheet titled "Unit Conversion | mm, cm, m, and km" with 16 problems converting between millimeters, centimeters, meters, and kilometers.
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Step-by-step solution for: Conversion between mm, cm, m, and km Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Conversion between mm, cm, m, and km Worksheets
To solve the unit conversion problems, we need to use the relationships between the units of length in the metric system:
1. 1 cm = 10 mm
2. 1 m = 100 cm
3. 1 km = 1000 m
Using these relationships, we can convert the given values step by step.
---
#### 1) 18 mm = _______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 18 \text{ mm} \div 10 = 1.8 \text{ cm} \)
- Answer: \( 1.8 \text{ cm} \)
#### 2) 3 m = _______ mm
- Conversion: \( 1 \text{ m} = 1000 \text{ mm} \)
- Calculation: \( 3 \text{ m} \times 1000 = 3000 \text{ mm} \)
- Answer: \( 3000 \text{ mm} \)
#### 3) 32.5 cm = _______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 32.5 \text{ cm} \times 10 = 325 \text{ mm} \)
- Answer: \( 325 \text{ mm} \)
#### 4) 17.8 m = _______ cm
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 17.8 \text{ m} \times 100 = 1780 \text{ cm} \)
- Answer: \( 1780 \text{ cm} \)
#### 5) 6.3 km = _______ m
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 6.3 \text{ km} \times 1000 = 6300 \text{ m} \)
- Answer: \( 6300 \text{ m} \)
#### 6) 5,989 cm = _______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 5,989 \text{ cm} \div 100 = 59.89 \text{ m} \)
- Answer: \( 59.89 \text{ m} \)
#### 7) 610 cm = _______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 610 \text{ cm} \div 100 = 6.1 \text{ m} \)
- Answer: \( 6.1 \text{ m} \)
#### 8) 234 mm = _______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 234 \text{ mm} \div 10 = 23.4 \text{ cm} \)
- Answer: \( 23.4 \text{ cm} \)
#### 9) 4.9 m = _______ mm
- Conversion: \( 1 \text{ m} = 1000 \text{ mm} \)
- Calculation: \( 4.9 \text{ m} \times 1000 = 4900 \text{ mm} \)
- Answer: \( 4900 \text{ mm} \)
#### 10) 510 cm = _______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 510 \text{ cm} \times 10 = 5100 \text{ mm} \)
- Answer: \( 5100 \text{ mm} \)
#### 11) 1,900 mm = _______ m
- Conversion: \( 1 \text{ m} = 1000 \text{ mm} \)
- Calculation: \( 1,900 \text{ mm} \div 1000 = 1.9 \text{ m} \)
- Answer: \( 1.9 \text{ m} \)
#### 12) 7,692 m = _______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 7,692 \text{ m} \div 1000 = 7.692 \text{ km} \)
- Answer: \( 7.692 \text{ km} \)
#### 13) 3,210 m = _______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 3,210 \text{ m} \div 1000 = 3.21 \text{ km} \)
- Answer: \( 3.21 \text{ km} \)
#### 14) 96 m = _______ cm
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 96 \text{ m} \times 100 = 9600 \text{ cm} \)
- Answer: \( 9600 \text{ cm} \)
#### 15) 37 cm = _______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 37 \text{ cm} \times 10 = 370 \text{ mm} \)
- Answer: \( 370 \text{ mm} \)
#### 16) 4.65 km = _______ m
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 4.65 \text{ km} \times 1000 = 4650 \text{ m} \)
- Answer: \( 4650 \text{ m} \)
---
1. \( 1.8 \text{ cm} \)
2. \( 3000 \text{ mm} \)
3. \( 325 \text{ mm} \)
4. \( 1780 \text{ cm} \)
5. \( 6300 \text{ m} \)
6. \( 59.89 \text{ m} \)
7. \( 6.1 \text{ m} \)
8. \( 23.4 \text{ cm} \)
9. \( 4900 \text{ mm} \)
10. \( 5100 \text{ mm} \)
11. \( 1.9 \text{ m} \)
12. \( 7.692 \text{ km} \)
13. \( 3.21 \text{ km} \)
14. \( 9600 \text{ cm} \)
15. \( 370 \text{ mm} \)
16. \( 4650 \text{ m} \)
---
\[
\boxed{
\begin{array}{ll}
1. & 1.8 \text{ cm} \\
2. & 3000 \text{ mm} \\
3. & 325 \text{ mm} \\
4. & 1780 \text{ cm} \\
5. & 6300 \text{ m} \\
6. & 59.89 \text{ m} \\
7. & 6.1 \text{ m} \\
8. & 23.4 \text{ cm} \\
9. & 4900 \text{ mm} \\
10. & 5100 \text{ mm} \\
11. & 1.9 \text{ m} \\
12. & 7.692 \text{ km} \\
13. & 3.21 \text{ km} \\
14. & 9600 \text{ cm} \\
15. & 370 \text{ mm} \\
16. & 4650 \text{ m} \\
\end{array}
}
\]
1. 1 cm = 10 mm
2. 1 m = 100 cm
3. 1 km = 1000 m
Using these relationships, we can convert the given values step by step.
---
Solutions:
#### 1) 18 mm = _______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 18 \text{ mm} \div 10 = 1.8 \text{ cm} \)
- Answer: \( 1.8 \text{ cm} \)
#### 2) 3 m = _______ mm
- Conversion: \( 1 \text{ m} = 1000 \text{ mm} \)
- Calculation: \( 3 \text{ m} \times 1000 = 3000 \text{ mm} \)
- Answer: \( 3000 \text{ mm} \)
#### 3) 32.5 cm = _______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 32.5 \text{ cm} \times 10 = 325 \text{ mm} \)
- Answer: \( 325 \text{ mm} \)
#### 4) 17.8 m = _______ cm
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 17.8 \text{ m} \times 100 = 1780 \text{ cm} \)
- Answer: \( 1780 \text{ cm} \)
#### 5) 6.3 km = _______ m
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 6.3 \text{ km} \times 1000 = 6300 \text{ m} \)
- Answer: \( 6300 \text{ m} \)
#### 6) 5,989 cm = _______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 5,989 \text{ cm} \div 100 = 59.89 \text{ m} \)
- Answer: \( 59.89 \text{ m} \)
#### 7) 610 cm = _______ m
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 610 \text{ cm} \div 100 = 6.1 \text{ m} \)
- Answer: \( 6.1 \text{ m} \)
#### 8) 234 mm = _______ cm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 234 \text{ mm} \div 10 = 23.4 \text{ cm} \)
- Answer: \( 23.4 \text{ cm} \)
#### 9) 4.9 m = _______ mm
- Conversion: \( 1 \text{ m} = 1000 \text{ mm} \)
- Calculation: \( 4.9 \text{ m} \times 1000 = 4900 \text{ mm} \)
- Answer: \( 4900 \text{ mm} \)
#### 10) 510 cm = _______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 510 \text{ cm} \times 10 = 5100 \text{ mm} \)
- Answer: \( 5100 \text{ mm} \)
#### 11) 1,900 mm = _______ m
- Conversion: \( 1 \text{ m} = 1000 \text{ mm} \)
- Calculation: \( 1,900 \text{ mm} \div 1000 = 1.9 \text{ m} \)
- Answer: \( 1.9 \text{ m} \)
#### 12) 7,692 m = _______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 7,692 \text{ m} \div 1000 = 7.692 \text{ km} \)
- Answer: \( 7.692 \text{ km} \)
#### 13) 3,210 m = _______ km
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 3,210 \text{ m} \div 1000 = 3.21 \text{ km} \)
- Answer: \( 3.21 \text{ km} \)
#### 14) 96 m = _______ cm
- Conversion: \( 1 \text{ m} = 100 \text{ cm} \)
- Calculation: \( 96 \text{ m} \times 100 = 9600 \text{ cm} \)
- Answer: \( 9600 \text{ cm} \)
#### 15) 37 cm = _______ mm
- Conversion: \( 1 \text{ cm} = 10 \text{ mm} \)
- Calculation: \( 37 \text{ cm} \times 10 = 370 \text{ mm} \)
- Answer: \( 370 \text{ mm} \)
#### 16) 4.65 km = _______ m
- Conversion: \( 1 \text{ km} = 1000 \text{ m} \)
- Calculation: \( 4.65 \text{ km} \times 1000 = 4650 \text{ m} \)
- Answer: \( 4650 \text{ m} \)
---
Final Answers:
1. \( 1.8 \text{ cm} \)
2. \( 3000 \text{ mm} \)
3. \( 325 \text{ mm} \)
4. \( 1780 \text{ cm} \)
5. \( 6300 \text{ m} \)
6. \( 59.89 \text{ m} \)
7. \( 6.1 \text{ m} \)
8. \( 23.4 \text{ cm} \)
9. \( 4900 \text{ mm} \)
10. \( 5100 \text{ mm} \)
11. \( 1.9 \text{ m} \)
12. \( 7.692 \text{ km} \)
13. \( 3.21 \text{ km} \)
14. \( 9600 \text{ cm} \)
15. \( 370 \text{ mm} \)
16. \( 4650 \text{ m} \)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 1.8 \text{ cm} \\
2. & 3000 \text{ mm} \\
3. & 325 \text{ mm} \\
4. & 1780 \text{ cm} \\
5. & 6300 \text{ m} \\
6. & 59.89 \text{ m} \\
7. & 6.1 \text{ m} \\
8. & 23.4 \text{ cm} \\
9. & 4900 \text{ mm} \\
10. & 5100 \text{ mm} \\
11. & 1.9 \text{ m} \\
12. & 7.692 \text{ km} \\
13. & 3.21 \text{ km} \\
14. & 9600 \text{ cm} \\
15. & 370 \text{ mm} \\
16. & 4650 \text{ m} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of m m math worksheet.