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A student found the approximate value of 0.02548 correct ...

A student found the approximate value of 0.02548 correct to two places of decimal instead of two significant figures. Find the percentage error.

A.

0%

B.

131/3%

C.

15 5/13%

D.

2/3%

E.

20%

Correct answer is E

0.02548 \(\approxeq\) 0.03 (to 2 decimal places)

0.02548 \(\approxeq\) 0.025 (2 sig. figs)

Error = 0.03 - 0.025

= 0.005

% error = \(\frac{0.005}{0.025} \times 100%\)

= 20%