To convert 5000 meters into centimeters, we need to use the conversion factor between meters and centimeters.
1. Understand the conversion factor: There are 100 centimeters in 1 meter.
2. Multiply the number of meters by the conversion factor:
[tex]\[
5000 \, \text{meters} \times 100 \, \frac{\text{centimeters}}{\text{meter}} = 500000 \, \text{centimeters}
\][/tex]
Therefore, 5000 meters is equal to 500,000 centimeters.
Now, let's identify the correct option from the given choices:
- 5 x 105 centimeters: This represents [tex]\( 5 \times 10^5 \)[/tex] centimeters, which equals 500,000 centimeters.
- 5 centimeters: This is not correct, as it’s much less than the actual value.
- 50 centimeters: This is also not correct, as it’s much less than the actual value.
- 5 x 104 centimeters: This represents [tex]\( 5 \times 10^4 \)[/tex] centimeters, which equals 50,000 centimeters, and this is too small.
Based on our calculation, the correct option is:
☐ 5 x 105 centimeters
