Definition:Error/Relative

Definition
Let $x_0$ be an approximation to a (true) value $x$.

The relative error of $x_0$ in $x$ is defined as:


 * $\delta x := \dfrac {\Delta x} x$

where $\Delta x$ denotes the absolute error of $x_0$.

This can be defined only when $x \ne 0$.

Also see

 * Definition:Absolute Error
 * Definition:Percentage Error