Error AnalysisHardQuestion 5043
Question
The relative error in the product of two quantities a and b with relative errors δa/a and δb/b is:
- Aδa/a − δb/b
- Bδa/a × δb/b
- Cδa/a + δb/bCorrect
- D(δa + δb)/(a × b)
Correct answer
δa/a + δb/b
Explanation
For a product P = ab: δP/P = δa/a + δb/b. Relative errors add for products and quotients.