# How do you round 664 to the nearest hundred?

Mar 14, 2018

See a solution process below:

#### Explanation:

First, we need to identify the hundred position.

The hundred position is the position three places to the left of the decimal point:

$\textcolor{red}{6} 64$

To round you look to the position to the right of the position you are trying to round to. In this case the $6$ to the right of the $6$ in the tens place:

$\textcolor{red}{6} \textcolor{b l u e}{6} 4$

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, making them $0$'s up to the decimal point..

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,making them $0$'s up to the decimal point..

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 $\textcolor{red}{6}$ and eliminate all the digits to the right. making them $0$'s up to the decimal point..

$\textcolor{red}{6} \textcolor{b l u e}{6} 4$ rounded to the nearest hundred is: $\textcolor{red}{7} 00$