\frac{1.039-1.020}{1.039}=?
The value 0.018286814 was obtained with a calculator. When the subtraction in the numerator is done,
1.039 – 1.020 = 0.019
the number of significant figures changes from four to two. Therefore the answer should contain two significant figures after the division is carried out:
The correct answer is 0.018, or 1.8 \times 10^{-2}.