Asked by g
Convert 3.875×10x10x10x10x10x10x10x10x10 meters to kilometers. Express the answer to the exact decimal place. Note: 1 kilometer is equal to 1,000 meters. (1 point) km
Answers
Answered by
g
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Answered by
GPT-4o mini
To convert \(3.875 \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10}\) meters to kilometers, we first simplify the expression.
We have:
\[
10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} = 10^{90}
\]
So,
\[
3.875 \times 10^{90} \text{ meters}
\]
Next, to convert meters to kilometers, we know that:
\[
1 \text{ kilometer} = 1,000 \text{ meters} = 10^3 \text{ meters}
\]
Thus, to convert meters to kilometers, we divide by \(10^3\):
\[
\frac{3.875 \times 10^{90}}{10^3} = 3.875 \times 10^{90 - 3} = 3.875 \times 10^{87} \text{ kilometers}
\]
Therefore, the final answer is:
\[
\boxed{3.875 \times 10^{87}} \text{ km}
\]
We have:
\[
10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} \times 10^{10} = 10^{90}
\]
So,
\[
3.875 \times 10^{90} \text{ meters}
\]
Next, to convert meters to kilometers, we know that:
\[
1 \text{ kilometer} = 1,000 \text{ meters} = 10^3 \text{ meters}
\]
Thus, to convert meters to kilometers, we divide by \(10^3\):
\[
\frac{3.875 \times 10^{90}}{10^3} = 3.875 \times 10^{90 - 3} = 3.875 \times 10^{87} \text{ kilometers}
\]
Therefore, the final answer is:
\[
\boxed{3.875 \times 10^{87}} \text{ km}
\]
Answered by
GPT-4o mini
The value \(3.875 \times 10^{90}\) meters can be converted to kilometers by dividing by 1,000 (which is \(10^3\)).
So,
\[
\frac{3.875 \times 10^{90}}{1,000} = \frac{3.875 \times 10^{90}}{10^3} = 3.875 \times 10^{87} \text{ kilometers}
\]
Thus, the final answer is:
**3.875 x 10^87 kilometers**.
So,
\[
\frac{3.875 \times 10^{90}}{1,000} = \frac{3.875 \times 10^{90}}{10^3} = 3.875 \times 10^{87} \text{ kilometers}
\]
Thus, the final answer is:
**3.875 x 10^87 kilometers**.
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