Question

Two quantities are measured as A ± ΔA and B ± ΔB. If Z = A + B, what is the maximum absolute error in \(Z\)?

Options

• ΔA − ΔB

• ΔA + ΔB

• ΔA ΔB

• \[\frac{\Delta A}{\Delta B}\]

Answer 1

ΔA + ΔB

Explanation:

For sum or difference of two quantities, the maximum absolute error in the result is equal to the sum of the absolute errors of the individual quantities.