# How do you round 8.762 to the nearest tenth?

Mar 15, 2018

See a solution process below:

#### Explanation:

First, we need to identify the tenth position.

The tenth position is the position to the right of the decimal point:

$8 . \textcolor{red}{7} 62$

To round you look to the position to the right of the position you are trying to round to. In this case the $8$ to the right of the $0$ in the tenth place:

$8 . \textcolor{red}{7} \textcolor{b l u e}{6} 2$

If the digit to the right is less than $5$ you keep the digit you are rounding to the same and eliminate all the digits to the right.

If the digit to the right is greater than or equal to $5$ you add 1 to the digit you are rounding to and eliminate all the digits to the right.

In this problem the digit to the right is $\textcolor{b l u e}{6}$ which is greater than $5$. Therefore, we add $1$ to the $\textcolor{red}{7}$ and eliminate all the digits to the right:

$8 . \textcolor{red}{7} \textcolor{b l u e}{6} 2$ rounded to the nearest tenth is: $8 . \textcolor{red}{8}$