Question
Convert 8.0724×10^−12 centimeters to kilometers. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 100,000 centimeters.
Note: 1 kilometer is equal to 100,000 centimeters.
Answers
GPT-4o mini
To convert \( 8.0724 \times 10^{-12} \) centimeters to kilometers, we can use the conversion factor that \( 1 \) kilometer is equal to \( 100,000 \) centimeters (or \( 10^5 \) centimeters).
To convert from centimeters to kilometers, we divide the number of centimeters by \( 100,000 \):
\[
\text{kilometers} = \frac{\text{centimeters}}{100,000}
\]
Now, substituting in the given value:
\[
\text{kilometers} = \frac{8.0724 \times 10^{-12}}{100,000} = \frac{8.0724 \times 10^{-12}}{10^5}
\]
This can be simplified further:
\[
\text{kilometers} = 8.0724 \times 10^{-12} \times 10^{-5} = 8.0724 \times 10^{-17}
\]
Thus, the conversion of \( 8.0724 \times 10^{-12} \) centimeters to kilometers is
\[
\boxed{8.0724 \times 10^{-17}}
\]
To convert from centimeters to kilometers, we divide the number of centimeters by \( 100,000 \):
\[
\text{kilometers} = \frac{\text{centimeters}}{100,000}
\]
Now, substituting in the given value:
\[
\text{kilometers} = \frac{8.0724 \times 10^{-12}}{100,000} = \frac{8.0724 \times 10^{-12}}{10^5}
\]
This can be simplified further:
\[
\text{kilometers} = 8.0724 \times 10^{-12} \times 10^{-5} = 8.0724 \times 10^{-17}
\]
Thus, the conversion of \( 8.0724 \times 10^{-12} \) centimeters to kilometers is
\[
\boxed{8.0724 \times 10^{-17}}
\]