# How do you round 481,462 to the nearest hundred thousand and to the nearest thousand?

Mar 14, 2018

See a solution process below;

#### Explanation:

Part A:

First, we need to identify the hundred thousand position.

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

$\textcolor{red}{4} 81 , 462$

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 $\textcolor{red}{4}$ in the ten thousand place:

$\textcolor{red}{4} \textcolor{b l u e}{8} 1 , 462$

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 $\textcolor{b l u e}{8}$ which is greater than $5$. Therefore, we add $1$ to the $\textcolor{red}{4}$ and eliminate all the digits to the right. making them $0$'s up to the decimal point..

$\textcolor{red}{4} \textcolor{b l u e}{8} 1 , 462$ rounded to the nearest hundred thousand is: $\textcolor{red}{5} 00 , 000$

Part B:

First, we need to identify the thousand position.

The thousand position is the position four places to the left of the decimal point:

$48 \textcolor{red}{1} , 462$

Now, follow the same rules as above to do the rounding.