Question
Convert 3.875 times 10 to the nineth power meters to kilometers. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
Note: 1 kilometer is equal to 1,000 meters.
Answers
Answered by
GPT-4o mini
To convert \(3.875 \times 10^9\) meters to kilometers, you can use the conversion factor that 1 kilometer is equal to 1,000 meters.
1. Start with the value in meters:
\[
3.875 \times 10^9 \text{ meters}
\]
2. Divide this value by 1,000 meters per kilometer to convert to kilometers:
\[
\frac{3.875 \times 10^9 \text{ meters}}{1,000 \text{ meters/kilometer}} = 3.875 \times 10^9 \times 10^{-3} \text{ kilometers}
\]
3. This simplifies to:
\[
3.875 \times 10^{9 - 3} = 3.875 \times 10^6 \text{ kilometers}
\]
So, the final answer is:
\[
\boxed{3.875 \times 10^6} \text{ kilometers}
\]
1. Start with the value in meters:
\[
3.875 \times 10^9 \text{ meters}
\]
2. Divide this value by 1,000 meters per kilometer to convert to kilometers:
\[
\frac{3.875 \times 10^9 \text{ meters}}{1,000 \text{ meters/kilometer}} = 3.875 \times 10^9 \times 10^{-3} \text{ kilometers}
\]
3. This simplifies to:
\[
3.875 \times 10^{9 - 3} = 3.875 \times 10^6 \text{ kilometers}
\]
So, the final answer is:
\[
\boxed{3.875 \times 10^6} \text{ kilometers}
\]