The percent of error is 0.45%
Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.
[tex]\rm Percent \: Error = |\dfrac{Error}{Actual value}|\times 100 \\\\Percent \: Error = | \dfrac{\text{(Actual Value - Estimated Value)}}{Actual value}|\times 100 \\[/tex]
here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5
Daniela measures her math book and records its width as 21.9 cm to the nearest tenth of a centimeter.
The actual measurement of the book’s width is 22.0 cm.
Error = 22-21.9 = 0.1
Percent error = 0.1 / 22 x 100 = 0.45%
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