Question

Diego measured the length of a pain to be 22 cm the actual length of the pen is 23 cm which of these is the closest to the percent error For Diego measurement

Answer 1

The percent error For Diego measurement is 4.3 % decrease

Solution:

Given that, Diego measured the length of a pain to be 22 cm

The actual length of the pen is 23 cm

To find: percent error

Percent error is the difference between a measured and actual value, divided by the actual value, multiplied by 100%

The formula for percent error is given as:

$\text{Percent error } = \frac{\text{Measured value - actual value}}{\text{Actual value}} \times 100$

Here given that,

Measured value = 22 cm

Actual value = 23 cm

Substituting the values in formula,

$Percent\ Error = \frac{22-23}{23} \times 100\\\\Percent\ Error = \frac{-1}{23} \times 100\\\\Percent\ Error = -0.043 \times 100\\\\Percent\ Error = -4.3$

Here, negative sign denotes percent decrease

Thus percent error For Diego measurement is 4.3 % decrease