# How do you express the product of 3.3 cm an 7.00 cm using the correct number of significant digits?

##### 1 Answer

Sep 24, 2016

#### Explanation:

The thing to keep in mind here is that when you're dealing with **multiplication or division**, the result must have the *same number of significant figures* as the **least precise** measurement.

In this case, you have

#"3.3 cm " -># two non-zero digits,two sig figs

#"7.00 cm " -># one non-zero digit, two significant zeros,three sig figs

This means that if you multiply these two measurements, the result **must have** two sig figs since that is the number of sig figs you have for the least precise measurement.

So, you will have

#"3.3 cm" xx "7.00 cm" = "23.10 cm"^2#

The answer must be rounded to two sig figs, which means that you'll have

#color(green)(bar(ul(|color(white)(a/a)color(black)("3.3 cm" xx "7.00 cm" = "23 cm"^3)color(white)(a/a)|)))#