Relative Error

Let the true value of a quantity be x and the measured or inferred value x_0. Then the relative error is defined by

 deltax=(Deltax)/x=(x_0-x)/x=(x_0)/x-1,

where Deltax is the absolute error. The relative error of the quotient or product of a number of quantities is less than or equal to the sum of their relative errors. The percentage error is 100% times the relative error.

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