Question

1. compute the percent error for the measurement: 1 mark (15.78 ± 0.02) cm

Explanation:

Step1: Recall percent - error formula

Percent error = $\frac{\text{absolute error}}{\text{measured value}}\times100\%$

Step2: Identify absolute error and measured value

The measured value is $15.78$ cm and the absolute error is $0.02$ cm.

Step3: Calculate percent error

Percent error = $\frac{0.02}{15.78}\times100\%$
Percent error = $\frac{2}{15.78}\% \approx 0.13\%$

Answer:

$0.13\%$