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Question

Round off the following number to the nearest ten, hundred and thousand.​(i) 864

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Solution

(i)Given number is 864
So , the unit place digit of 864 is 4.
[If the digit at one's place is less than 5, replace one's digit by 0, and keep the other digits as they are. Also , if the digit at one's place is 5 or more than 5 , increase tens digit by 1 , and replace one's digit by 0 ]

Unit place digit is 4.
So , to round off the given number 864 to the nearest ten, we replace 4 (unit digit) by 0 and keep the other digits as they are.

864 is 860.
Hence, round off of the given number 864 is to nearest tens 860.

(ii)Given number is 864
So , the tens place digit of 864 is 6.
[If the tens digit is less than 5, replace each one of tens and one's digit by 0, and keep the other digits as they are. Also , if the digit is 5 or more than 5 , increase hundreds digit by 1 , and replace each of ten's digit and one's digit by 0 ]

6 is more than 5.
So , to round off the given number to the nearest hundred, we increase 8 hundreds digit) by 1and replace 6 (ten's digit) and 4 (one's digit ) by 0

864 is 900.
hence, round off 864 to nearest hundred is 900

(iii)Given number is 864
So , the hundreds digit of 864 is 8.

[If the hundreds digit is less than 5, replace each one of hundreds,tens and one's digit by 0, and keep the other digits as they are. Also , if in the given number ,hundreds digit is 5 or more than 5 , increase thousands digit by 1 , and replace each other digit on its digit by 0 ]

8 is more than 5.
So , to round off the given number to the nearest thousand , we increase 0thousands digit) by 1and replace 8 (hundreds digit) ,6 (ten's digit) and 4 (one's digit ) by 0

864 is 1000.
Hence, round off 864 to nearest hundred is 1000.

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