# Question #29219

Sep 17, 2017

Here's how you can do that.

#### Explanation:

In order to round your number off to two significant figures, you must compare the value of the third significant digit to $5$.

If the third significant digit is $\ge 5$, then you will add $1$ to the value of the second significant digit and eliminate everything that follows this digit. If the third significant digit is $< 5$, then you will leave the value of the second significant digit unchanged and eliminate everything that follows this digit.

$\textcolor{red}{\textcolor{b l a c k}{4.} 4 \textcolor{b l u e}{4} \textcolor{b l a c k}{5}}$

Here

• $\textcolor{red}{4} \to$ the second significant digit
• $\textcolor{b l u e}{4} \to$ the third significant digit

When you compare the third significant digit to $5$, you see that you have

$\textcolor{b l u e}{4} < 5$

This means that you must leave the second significant digit unchanged and eliminate everything that follows this digit.

$4.4 \textcolor{red}{\cancel{\textcolor{b l a c k}{45}}}$

You will thus have

$4.445 \approx 4.4 \to$ rounded to two sig figs