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A calculation gives $T^2=37.86083836$. Reported to nine significant figures, $T$ is:
A37.8608384
B6.15311615
C6.15000000
D1432.44311
Answer & Solution
Correct answer: B. 6.15311615
1. The quantity computed is $T^2$, not $T$ itself.
2. So the final step is to take the square root: $T=\sqrt{37.86083836}$.
3. That gives $T=6.15311615$ to nine significant figures.
4. Stopping at $T^2$ and reporting $37.86083836$ as $T$ was a recorded error.
5. Writing $6.15$ is correct in value but carries only three significant figures, so it fails the instruction.
_Source: NECTA ACSEE 2022 Advanced Mathematics 142/1, Question 1: Calculating Device_