- Convert \( 7 \frac{1}{2} \mathrm{~km} \) into meter and centimeters

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:** \[ 7 \frac{1}{2} \text{ kilometers} = 7,\!500 \text{ meters} \quad \text{or} \quad 750,\!000 \text{ centimeters} \]