Evaluate \(\frac{(0.5625)^2 - (0.4375)^2}{0.04}\) correct to three significant figures
A
3.11
B
3.13
C
0.313
D
3.12
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{(0.5625)^2) - (0.4375)^2}{0.04}\)
\(\frac{(0.5625 + 0.4375)(0.5625 - 0.4375)}{0.04}\)
\(\frac{1.000\times 0.125}{0.04}\)
= 3.125
= 3.13
Source: Myschool Past Questions Archive (Record #9237)