Convert 8.0724×10−12

Question

centimeters to kilometers. Express the answer to the exact decimal place.

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

(1 point)
Responses

80.724×10−18
kilometers
80.724 times 10 superscript negative 18 baseline kilometers

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

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

8.0724×10−14
kilometers

Answer 1

To convert \(8.0724 \times 10^{-12}\) centimeters to kilometers, we use the conversion factor that \(1\) kilometer is equal to \(100,000\) centimeters or \(1 \text{ km} = 10^5 \text{ cm}\).

We start with the given measurement in centimeters:

\[ 8.0724 \times 10^{-12} \text{ cm} \]

To convert centimeters to kilometers, we divide the number of centimeters by \(100,000\) or \(10^5\):

\[ 8.0724 \times 10^{-12} \text{ cm} \times \frac{1 \text{ km}}{10^5 \text{ cm}} = \frac{8.0724 \times 10^{-12}}{10^5} \text{ km} \]

This simplifies to:

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

Thus, the answer is:

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