Scientific Notation Online Practice

Question

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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.

(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

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

8.0724×10−7
kilometers

Answer 1

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

To convert from centimeters to kilometers, we divide the centimeters by \(100,000\):

\[ 8.0724 \times 10^{-12} \text{ cm} \div 100,000 \text{ cm/km} = 8.0724 \times 10^{-12} \text{ cm} \times 10^{-5} \text{ km/cm} \]

Calculating the exponent:

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

Thus, the answer is:

8.0724×10−17 kilometers.