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Answer
\( 3.2 \, \text{km} = 320,000 \, \text{cm} \)
Solution
To convert kilometers (km) to centimeters (cm), follow these steps:
1. **Understand the relationships between units:**
- \( 1 \, \text{km} = 1,000 \, \text{meters (m)} \)
- \( 1 \, \text{m} = 100 \, \text{centimeters (cm)} \)
2. **Convert kilometers to meters:**
\[
3.2 \, \text{km} \times 1,000 \, \frac{\text{m}}{\text{km}} = 3,200 \, \text{m}
\]
3. **Convert meters to centimeters:**
\[
3,200 \, \text{m} \times 100 \, \frac{\text{cm}}{\text{m}} = 320,000 \, \text{cm}
\]
**Final Answer:**
\[
3.2 \, \text{km} = 320{,}000 \, \text{cm}
\]
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Simplify this solution Mind Expander
Did you know that the metric system is based on powers of ten? So converting kilometers to centimeters is as easy as moving the decimal place! Since there are 100,000 centimeters in a kilometer, multiplying 3.2 by 100,000 gives you 320,000 centimeters. Just like that, you've translated kilometers into centimeters effortlessly! When approaching metric conversions, a common mistake is forgetting the number of zeros. It’s helpful to remember that moving from larger to smaller units (like kilometers to centimeters) means multiplying, while the reverse means dividing. If you stick to this rule, you’ll navigate metric conversions like a pro in no time!
