Question

if Z= A-B then what is the maximum possible error in Z​

Answer 1

Answer :-

Here we have, Z = A - B

To find maximum possible error in Z, let us first understand what is absolute error -

Absolute error is the difference between true value and measured value.

Let -

ΔA = absolute error in measurement of A

ΔB = absolute error in measurement of B

ΔZ = absolute error in calculation of x i.e. difference of A and B

Maximum absolute error in Z is ΔZ = ± ( ΔA + ΔB )

Additional information -

• Z = A + B

Maximum absolute error in Z is ΔZ = ± ( ΔA + ΔB )

• Z = A × B

Maximum fractional error in Z is ΔZ = ± ( ΔA/A + ΔB/B )

• Z = A / B

Maximum fractional error in Z is ΔZ = ± ( ΔA/A + ΔB/B )

• Z = Aⁿ

Maximum fractional error in Z is ΔZ/Z = ± ( n × Δa/a )