# Suppose you multiply a measurement of 4.52 kg by a measurement of 6.0 kg. How many significant figures does the product have?

##### 1 Answer

Aug 20, 2016

#### Answer:

#### Explanation:

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

Simply put, the answer will have as many sig figs as the **least number of sig figs** present in your measurements.

In your case, you have

#4.52 -># three sig figs

#6.0color(white)(1) -># two sig figs

The least number of sig figs available to you is * two sig figs*.

So, multiply

#4.52 * 6.0 = 27.12#

This number must be rounded to two sig figs

#27. color(red)(cancel(color(black)(1)))color(red)(cancel(color(black)(2))) implies 27 -># two sig figs