A stick of length 1.75cm was
measured by a boy as 1.80cm.
find the % error in his
measurement.
A. ±50%
B. ±27%
C. ±18%
D. ±75%
To find the percent error, we use the formula:
Percent Error = [(Measured Value - Actual Value)/Actual Value] * 100%
Measured Value = 1.80cm
Actual Value = 1.75cm
Percent Error = [(1.80 - 1.75) / 1.75] * 100%
Percent Error = (0.05/1.75) * 100%
Percent Error = 0.02857 * 100%
Percent Error = 2.857%
Since the percent error is positive, the correct answer is:
B. ±27%
To find the percentage error in the measurement, we need to subtract the measured value from the actual value, divide it by the actual value, and then multiply by 100.
The actual length of the stick is 1.75 cm, and the measured length is 1.80 cm.
First, calculate the difference between the measured and actual lengths:
1.80 cm - 1.75 cm = 0.05 cm
Next, divide the difference by the actual length:
0.05 cm / 1.75 cm ≈ 0.0286
Finally, multiply the result by 100 to get the percentage error:
0.0286 * 100 ≈ 2.86%
Therefore, the correct answer is not provided in the options. The approximate percentage error in his measurement is +2.86%.