Question

Amy was looking at a table of conversions from meters to kilometers. The table showed that 2 kilometers are equivalent to 2,000 meters. How can she determine how many kilometers are equivalent to 8,000 meters? Explain.

Answer 1

To determine how many kilometers are equivalent to 8,000 meters, Amy can use the conversion factor that 1 kilometer is equal to 1,000 meters. Here's how she can calculate it:

1. **Understanding the Conversion**: The conversion from meters to kilometers is given by the relation:
\[
1 \text{ kilometer} = 1,000 \text{ meters}
\]

2. **Conversion to Kilometers**: To find out how many kilometers correspond to 8,000 meters, Amy can divide the number of meters by the number of meters in one kilometer:
\[
\text{kilometers} = \frac{\text{meters}}{1,000}
\]
Applying this to 8,000 meters:
\[
\text{kilometers} = \frac{8,000 \text{ meters}}{1,000 \text{ meters/kilometer}} = 8 \text{ kilometers}
\]

3. **Conclusion**: Therefore, Amy can conclude that 8,000 meters is equivalent to 8 kilometers.