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:
[tex]\text{Percent error } = \frac{\text{Measured value - actual value}}{\text{Actual value}} \times 100[/tex]
Here given that,
Measured value = 22 cm
Actual value = 23 cm
Substituting the values in formula,
[tex]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[/tex]
Here, negative sign denotes percent decrease
Thus percent error For Diego measurement is 4.3 % decrease