Propagation Multiplication

Question

For product Q = A B, relative error approximates:

RankGuru · Accepted Answer

In multiplication or division, the **relative (fractional) errors** add up.
- If $Q = A 	imes B$
- $\frac{\Delta Q}{Q} = \frac{\Delta A}{A} + \frac{\Delta B}{B}$
- For the power rule $X = A^n$, the relative error is $\frac{\Delta X}{X} = n \frac{\Delta A}{A}$.

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Propagation Multiplication

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