Sometimes, we do not need to work with very accurate numbers. For example, suppose that the attendance at a football match was 26,239. Most people may just want to know there were 26,000 at the football match instead of the exact number.
We can round off large numbers to the nearest thousand, nearest hundred, nearest ten, or any other specified place value.
Example :
Round 23,745 to the nearest thousand.
Solution :
First, look at the digit in the thousands place. It's 3.
This means that the number lies between 23,000 and 24,000.
Look at the digit to the right of the 3. It's 7.
So, 23,745 is closer to 24,000 than 23,000.
To get the rounded number, we add 1 to 3 and change all digits to the right into 0’s to get 24,000
Remember :
The rule is - if the next digit is:
5 or more, add 1 to the digit
4 or less, the digit is not changed
Example :
23,545 to the nearest thousand = 24,000
23,245 to the nearest thousand = 23,000
29,990 to the nearest hundred = 30,000
The following video shows another example of rounding.