Convert 8.0724×10−12 centimeters to kilometers. Express the answer to the exact decimal place.

Question

Note: 1 kilometer is equal to 100,000 centimeters.

(1 point)
Responses

8.0724×10−7 kilometers
8.0724 times 10 superscript negative 7 baseline kilometers

8.0724×10−14 kilometers
8.0724 times 10 superscript negative 14 baseline kilometers

8.0724×10−17 kilometers
8.0724 times 10 superscript negative 17 baseline kilometers

80.724×10−^18 kilometers

Answer 1

To convert \(8.0724 \times 10^{-12}\) centimeters to kilometers, we start with the conversion factor between centimeters and kilometers:

\[ 1 \text{ kilometer} = 100,000 \text{ centimeters} \]

This means:

\[ 1 \text{ centimeter} = 10^{-5} \text{ kilometers} \]

Now, we can convert \(8.0724 \times 10^{-12}\) centimeters to kilometers:

\[ 8.0724 \times 10^{-12} , \text{cm} \times 10^{-5} , \text{km/cm} = 8.0724 \times 10^{-12} \times 10^{-5} \text{ km} \]

To multiply the powers of ten, we add the exponents:

\[ 8.0724 \times 10^{-12} \times 10^{-5} = 8.0724 \times 10^{-17} \text{ km} \]

So, the conversion of \(8.0724 \times 10^{-12}\) centimeters to kilometers is:

\[ 8.0724 \times 10^{-17} \text{ kilometers} \]

Therefore, the correct answer is:

8.0724×10−17 kilometers
8.0724 times 10 superscript negative 17 baseline kilometers