Question
- Convert \( 7 \frac{1}{2} \mathrm{~km} \) into meter and centimeters
Ask by Chandler Hampton. in India
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 7 \frac{1}{2} \) kilometers is equal to 7,500 meters or 750,000 centimeters.
Solution
To convert \( 7 \frac{1}{2} \) kilometers into meters and centimeters, follow these steps:
1. **Convert Kilometers to Meters:**
- **Conversion Factor:** \( 1 \) kilometer \( = 1000 \) meters.
- **Calculation:**
\[
7 \frac{1}{2} \text{ km} = 7.5 \text{ km} \times 1000 \frac{\text{meters}}{\text{km}} = 7500 \text{ meters}
\]
2. **Convert Kilometers to Centimeters:**
- **Conversion Factors:**
\[
1 \text{ kilometer} = 1000 \text{ meters} \\
1 \text{ meter} = 100 \text{ centimeters}
\]
- **Combined Conversion:**
\[
1 \text{ kilometer} = 1000 \times 100 = 100,\!000 \text{ centimeters}
\]
- **Calculation:**
\[
7 \frac{1}{2} \text{ km} = 7.5 \text{ km} \times 100,\!000 \frac{\text{centimeters}}{\text{km}} = 750,\!000 \text{ centimeters}
\]
**Final Answer:**
\[
7 \frac{1}{2} \text{ kilometers} = 7,\!500 \text{ meters} \quad \text{or} \quad 750,\!000 \text{ centimeters}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To convert \( 7 \frac{1}{2} \) kilometers into meters and centimeters, first convert the kilometers to meters. We know that 1 kilometer is equal to 1000 meters. So, \( 7 \frac{1}{2} \) kilometers is \( 7.5 \times 1000 = 7500 \) meters. Now, to get the centimeters, we use the fact that 1 meter is equal to 100 centimeters. Thus, \( 7500 \) meters converts to \( 7500 \times 100 = 750000 \) centimeters. So, \( 7 \frac{1}{2} \) kilometers equals \( 7500 \) meters or \( 750000 \) centimeters!
