# How many significant figures will the answer of the problem below have?

##
24.789 x 14.5

24.789 x 14.5

##### 1 Answer

Dec 1, 2016

The answer will have **three** significant figures.

#### Explanation:

My calculator says that

However, the rules for significant figures in **multiplication** say:

**The #sfcolor(red)("smallest")# number of significant figures in any number in the problem determines the number of significant figures in the answer.**

The number 14.5 has the fewest significant figures (three), so the answer can have only three significant figures.

We start at the left and count 3 digits to the right

We drop all the remaining digits and round off appropriately.

The answer becomes **three** significant figures.