Evaluate \(\frac{(2.813 \times 10^{-3} \times 1.063)}{(5.637 \times 10^{-2})}\) reducing each number to two significant figures and leaving your answer in two significant figures.
A
0.056
B
0.055
C
0.054
D
0.54
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{2.813 \times 10^{-3} \times 1.063}{5.637 \times 10^{-2}}\)
= \(\frac{0.002813 \times 1.063}{0.05637}\)
\(\approxeq \frac{0.0028 \times 1.1}{0.056}\)
= \(0.055\)
Source: Myschool Past Questions Archive (Record #562)