Correct option is c) 2.00 \(\pm\) 0.03
Given
X = (8.00 + 0.04)
Y = (4.00 + 0.04)
Then
\(Z = \frac XY = \frac{8.00}{4.00}\)
\(Z = \frac XY = 2\)
\(Z = X +Y\)
\(\frac{\Delta Z}Z = \frac{\Delta X}X + \frac{\Delta Y}Y\)
\(\frac{\Delta Z}2 = \frac{0.04}{8.00} + \frac{0.04}{4.00}\)
\(\frac{\Delta Z}2 = 0.005 + 0.01\)
\(\Delta Z = 0.03\)
Then \(\frac XY\) can be expressed
\(\frac XY = (2.0 \pm 0.03)\)