# How many significant figures are in the measurement 2103.2 g?

Jan 24, 2017

$5$

#### Explanation:

The problem provides you with the following measurement

$\text{2103.2 g}$

The first thing you need to do here is to figure out the number of non-zero digits you have in this measurement.

As you know, non-zero digits are always significant, so right from the start you can say that your measurement has at least $4$ significant figures, since

$2103.2 \to \text{4 non-zero digits: } 2 , 1 , 3 , 2$

Now, your measurement also contains a sandwiched zero, i.e. a zero that follows and is followed by a non-zero digit.

More specifically, you have

$21 \textcolor{red}{0} 3.2 \to$ the zero follows a non-zero digit, $1$, and is folowed by a non-zero digit, $3$

Sandwiched zeros are always significant, which means that your measurement has $5$ sig figs

• four non-zero digits: $2 , 1 , 3 , 2$
• one sandwiched zero