Question
Use Scientific Notation Practice
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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.
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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