MATHEMATICS

JAMB 2019 - Question 23

Mathematics 2019 JAMB Past Questions - Question 23: The length of a notebook 15cm, was measured as 16.8cm. Calculate the percentage error to 2 significant figures.

The length of a notebook 15cm, was measured as 16.8cm. Calculate the percentage error to 2 significant figures.
A:
B:
C:
D:
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Correct Answer

A

Explanation

The percentage error can be calculated using the formula:\[ \text{Percentage Error} = \frac{\text{Error}}{\text{True Value}} \times 100\% \]Where the error is the absolute difference between the measured value and the true value.In this case, the true length of the notebook is 15 cm, and it was measured as 16.8 cm.The error is \( |16.8 - 15| = 1.8 \) cm.So, the percentage error is:\[ \frac{1.8}{15} \times 100\% = 12\% \]Rounding to two significant figures, the percentage error is 12.00%. Therefore, the correct answer is A. 12.00%.