Question

Convert 8.0724 x 10^-12 centimeters to kilometers. Express the answer to the exact decimal place.

A. 8.0724 x 10^-17
B. 8.0724 x 10^-7
C. 8.0724 x 10^-14
D. 80.724 x 10^-18

Answer 1

To convert \( 8.0724 \times 10^{-12} \) centimeters to kilometers, we can follow these conversion steps:

1. **Convert centimeters to meters**:
\[
1 \text{ cm} = 0.01 \text{ m}
\]
Therefore,
\[
8.0724 \times 10^{-12} \text{ cm} = 8.0724 \times 10^{-12} \times 0.01 \text{ m} = 8.0724 \times 10^{-14} \text{ m}
\]

2. **Convert meters to kilometers**:
\[
1 \text{ km} = 1000 \text{ m} = 10^{3} \text{ m}
\]
Therefore,
\[
8.0724 \times 10^{-14} \text{ m} = \frac{8.0724 \times 10^{-14}}{10^{3}} \text{ km} = 8.0724 \times 10^{-14} \div 10^{3} = 8.0724 \times 10^{-17} \text{ km}
\]

The answer is \( 8.0724 \times 10^{-17} \) kilometers.

Thus, the correct answer is **A. \( 8.0724 \times 10^{-17} \)**.