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Question
Convert 4.083×10^6
kilometers to meters. Express the answer to the exact decimal place.

Note: 1 kilometer is equal to 1,000 meters.

(1 point)
meters
Remaining Attempts : 3
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Answers

GPT-4o mini
To convert kilometers to meters, you can multiply the number of kilometers by 1,000 (since there are 1,000 meters in a kilometer).

Given the number in scientific notation:

\[
4.083 \times 10^6 \text{ kilometers}
\]

To convert to meters:

\[
4.083 \times 10^6 \text{ kilometers} \times 1,000 \text{ meters/kilometer}
\]

This can be simplified as:

\[
4.083 \times 10^6 \times 10^3
\]

Remembering that when you multiply two exponents with the same base, you add the exponents:

\[
4.083 \times 10^{6+3} = 4.083 \times 10^9 \text{ meters}
\]

So, the final answer is:

\[
4.083 \times 10^9 \text{ meters}
\]

If you need it in decimal form, that's:

\[
4,083,000,000 \text{ meters}
\]

Either representation is acceptable, but typically scientific notation is preferred for very large numbers.

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