Question

If Z = A − B where \(A\) and \(B\) have absolute errors ΔA and ΔB, respectively, which statement is correct about the maximum absolute error in \(Z\)?

Options

• It is ∣ΔA − ΔB∣.

• It is ΔA + ΔB.

• It is always ΔA.

• It is always ΔB.

Answer 1

It is ΔA + ΔB.

Explanation:

In both addition and subtraction, the maximum possible absolute error in the result is the sum of the absolute errors of the quantities involved.