Max decimal place result for calculations against 3 decimal places

Question

What is the maximum number of decimal places for a calculation of 0.165 * n (n being any number with no more than 3 decimal places)

Answer 1

If you are dealing with significant figures, then when doing multiplication, the answer can have no more significant figures than the number with fewest significant figures.  The number 0.165 has 3 significant figures, so your answer can have no more than that.  If the other number n, has only 1 significant figure, such as 0.005, then the answer can have ONLY ONE significant figure and the answer would be 0.0008 (1 significant figure).  If you were adding or subtracting, the the number of significant figures is dictated by the number of decimal places.

Answer 2

The product cannot be more accurate (have more decimal places) that the least accurate factor.

Both factors have three decimal places, therefore the product may have only three decimals places.