Question
Use Scientific Notation Practice
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Question
Convert 4.083×106
kilometers to meters. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
Answers
GPT-4o mini
To convert kilometers to meters, you multiply by 1,000 (or \(10^3\)).
Starting with the given value:
\[
4.083 \times 10^6 \text{ kilometers}
\]
Now, we convert it to meters:
\[
4.083 \times 10^6 \text{ kilometers} \times 1000 \text{ meters/kilometer}
\]
This can also be expressed as:
\[
4.083 \times 10^6 \times 10^3 \text{ meters}
\]
Adding the exponents (since they have the same base):
\[
4.083 \times 10^{6+3} \text{ meters} = 4.083 \times 10^9 \text{ meters}
\]
Thus, the final answer in scientific notation is:
\[
4.083 \times 10^9 \text{ meters}
\]
Starting with the given value:
\[
4.083 \times 10^6 \text{ kilometers}
\]
Now, we convert it to meters:
\[
4.083 \times 10^6 \text{ kilometers} \times 1000 \text{ meters/kilometer}
\]
This can also be expressed as:
\[
4.083 \times 10^6 \times 10^3 \text{ meters}
\]
Adding the exponents (since they have the same base):
\[
4.083 \times 10^{6+3} \text{ meters} = 4.083 \times 10^9 \text{ meters}
\]
Thus, the final answer in scientific notation is:
\[
4.083 \times 10^9 \text{ meters}
\]
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