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
R
kilometers to meters. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
(1 point)
meters
R
Answers
GPT-4o mini
To convert kilometers to meters, you multiply the number of kilometers by 1,000 (since 1 kilometer = 1,000 meters).
Given \( 4.083 \times 10^6 \) kilometers:
\[
4.083 \times 10^6 \text{ kilometers} \times 1,000 \text{ meters/kilometer} = 4.083 \times 10^6 \times 10^3 \text{ meters}
\]
When multiplying powers of ten, you add the exponents:
\[
4.083 \times 10^{6+3} \text{ meters} = 4.083 \times 10^9 \text{ meters}
\]
Thus, the answer is:
\[
\text{4.083} \times 10^{9} \text{ meters}
\]
Given \( 4.083 \times 10^6 \) kilometers:
\[
4.083 \times 10^6 \text{ kilometers} \times 1,000 \text{ meters/kilometer} = 4.083 \times 10^6 \times 10^3 \text{ meters}
\]
When multiplying powers of ten, you add the exponents:
\[
4.083 \times 10^{6+3} \text{ meters} = 4.083 \times 10^9 \text{ meters}
\]
Thus, the answer is:
\[
\text{4.083} \times 10^{9} \text{ meters}
\]