# How do you round 265,427 to the nearest ten thousand?

Mar 12, 2018

$270 , 000$

#### Explanation:

When you round to the nearest ten thousand, your answer will be a multiple of ten thousand.

Identify the ten thousand place holder it is the fifth digit from the right.

The number will be color(red)(??)0,000

But before you just discard the other digits and replace them with $0$s, you need to decide whether you will round up or down.

Look at the digit in the thousands place color(red)(??)color(blue)(0),000 - If it is $5$ or more, round up, if it is $4$ or less, the ten thousand value stays the same.

In this case we have $\textcolor{red}{26} \textcolor{b l u e}{5} , 427$

The thousands place value is $\textcolor{b l u e}{5}$, so the $\textcolor{red}{6}$ will become $\textcolor{red}{7}$

The digits which follow are all $0$

$\textcolor{red}{27} \textcolor{b l u e}{0} , 000$

If the number had been: $\textcolor{red}{26} \textcolor{b l u e}{3} , 427$, then the rounded value would be

$\textcolor{red}{26} \textcolor{b l u e}{0} , 000$

Mar 12, 2018

Value of last four digits is 5,427 which is more than 5,000.

Hence the number 265, 427 is rounded up to color(brown)(270,000

#### Explanation:

The rule for rounding to the nearest ten thousand is to look at the last four digits. If the last four digits are 5,000 or greater, then we round our ten thousands digit up, and if it is less than 5,000, then we keep our ten thousands digit the same

Given number is $265 , 427$ and to round it to the nearest 10,000.

Value of last four digits is 5,427 which is more than 5,000. Hence the number 265, 427 is rounded up to color(brown)(270,000