# How many significant figures will there be in the answer to the following problem? #3.4 *17.05 #?

##### 1 Answer

Two significant figures.

#### Explanation:

The thing to remember about *multiplication and division* is that the result cannot have more **significant figures** than the value with the **least number** of significant figures.

In other words, the answer must be *as precise* as the **least precise number** used in the multiplication or division.

In your case, you know that

#3.4 -># twonon-zero digits#=# two sig figs

#17.05 -># fournon-zero digits#=# four sig figs

This tells you that the result of the operation

#3.4 xx 17.05#

**cannot** have more than *two sig figs*, since that is how many sig figs you have for the least precise measurement.

So, do the multiplication to find

#3.4 xx 17.05 = 57.97#

Rounded to two sig figs, the answer will be

#color(green)(bar(ul(|color(white)(a/a)color(black)(3.4 xx 17.015 = 58)color(white)(a/a)|)))#