# How do you round 214.0822 to the nearest tenth?

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Mar 14, 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:

$214 . \textcolor{red}{0} 822$

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:

$214 . \textcolor{red}{0} \textcolor{b l u e}{8} 22$

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 $\textcolor{b l u e}{8}$ which is greater than $5$. Therefore, we add $1$ to the $\textcolor{red}{0}$ and eliminate all the digits to the right:

$214 . \textcolor{red}{0} \textcolor{b l u e}{8} 22$ rounded to the nearest tenth is: $214 . \textcolor{red}{1}$

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