Calculation Rounding Error/Examples
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Examples of Calculation Rounding Errors
Arbitrary Example
Consider the equation:
- $x = \dfrac 1 {1 - \cos 1 \degrees}$
Evaluating the calculation while rounding to $4$ decimal places gives:
- $x = 5000$
but the true value is $6565.8$ to $1$ decimal place.
Hence the calculation rounding error of this calculation is $1.6565.8$, or some $24 \%$ or $31 \%$ relative error, depending on how the latter is calculated.