Question
Convert 0.0150 km to meters and express the answer to the correct number of significant digits.
a.
150 m
b.
15 m
c.
15.0 m
d.
150.0 m
a.
150 m
b.
15 m
c.
15.0 m
d.
150.0 m
Answers
GPT-4o mini
To convert kilometers to meters, you multiply by 1,000 (since 1 km = 1,000 m):
\[
0.0150 \text{ km} \times 1,000 = 15.0 \text{ m}
\]
The original measurement, 0.0150 km, has four significant figures (due to the three digits after the decimal point and the trailing zero). Therefore, the answer should also be reported with four significant figures.
Thus, the correct answer is **c. 15.0 m**.
\[
0.0150 \text{ km} \times 1,000 = 15.0 \text{ m}
\]
The original measurement, 0.0150 km, has four significant figures (due to the three digits after the decimal point and the trailing zero). Therefore, the answer should also be reported with four significant figures.
Thus, the correct answer is **c. 15.0 m**.