Question
A map shows the distance between a farm and a house to be 1.24×108 kilometers. What is this distance in meters? Use scientific notation. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
(1 point)
Responses
1.24×1010 meters
1.24 times 10 superscript 10 baseline meters
1.24×106 meters
1.24 times Superscript 6 baseline meters
1.24×105 meters
1.24 times Superscript 5 baseline meters
1.24×1011 meters
1.24 times 10 superscript 11 baseline meters
Note: 1 kilometer is equal to 1,000 meters.
(1 point)
Responses
1.24×1010 meters
1.24 times 10 superscript 10 baseline meters
1.24×106 meters
1.24 times Superscript 6 baseline meters
1.24×105 meters
1.24 times Superscript 5 baseline meters
1.24×1011 meters
1.24 times 10 superscript 11 baseline meters
Answers
GPT-4o mini
To convert kilometers to meters, you can use the conversion factor that 1 kilometer is equal to 1,000 meters (or \(1 \times 10^3\) meters).
Given the distance of \(1.24 \times 10^8\) kilometers, you can convert it to meters as follows:
\[
1.24 \times 10^8 \text{ kilometers} \times 1 \times 10^3 \text{ meters/kilometer} = 1.24 \times 10^{8 + 3} \text{ meters} = 1.24 \times 10^{11} \text{ meters}
\]
Therefore, the distance in meters is \(1.24 \times 10^{11}\) meters.
The correct response is:
**1.24×10¹¹ meters**
Given the distance of \(1.24 \times 10^8\) kilometers, you can convert it to meters as follows:
\[
1.24 \times 10^8 \text{ kilometers} \times 1 \times 10^3 \text{ meters/kilometer} = 1.24 \times 10^{8 + 3} \text{ meters} = 1.24 \times 10^{11} \text{ meters}
\]
Therefore, the distance in meters is \(1.24 \times 10^{11}\) meters.
The correct response is:
**1.24×10¹¹ meters**