(3.33 x 9.52) + 13.983 = ? Sig Figs?

First you do the calculation without rounding off any part, so your answer would be 45.684 (your first example). Then you look at the numbers in the equation. When there is a decimal, you look for the amount of numbers to the right of the decimal. 3.33 and 9.52 have two numbers after the decimal. So for the final answer, you also have to keep only two numbers.