In order to estimate to nearest thousands we follow the following procedure:
Step I: Obtain the number.
Step II: Examine the digit at hundreds place.
Step III:
If the digit at hundreds place is less than 5, replace each one of the
digits at hundreds, tens and ones or units place by 0 and keep all other
digits as they are.
If the digit at hundreds place
is 5 or greater than 5, increase the digit at thousands place by 1 and
replace each one of the digits at hundreds, tens and ones place by 0.
The number so obtained is the number rounded off to the nearest thousands.
For example:
Round off each of the following numbers to nearest thousands.
(i) 14329
Solution:
The given number is 14329.
Its
digit at hundreds place is 3, which is less than 5. So, we replace each
of the hundreds, tens and ones digits by 0 and keep the other digits as
they are.
So, the number 14329 is rounded off to nearest thousands as 14000.
(ii) 14729
Solution:
The given number is 14729.
Its
digit at hundreds place is 7, which is greater than 5. So, we increase
the digit at thousands place by 1 and replace each one of the digits at
hundreds, tens and ones place by 0 to get the rounded off numbers.
Hence, the number 14729 is rounded off to nearest thousands as 15000.
(iii) 14579
Solution:
The given number is 14579.
Its
digit at hundreds place is 5. So, we increase the digit at thousands
place by 1 and replace each one of the digits at hundreds, tens and ones
place by 0 to get the rounded off numbers.
Hence, the number 14579 is rounded off to nearest thousands as 15000.
Important Note:
If the digit in
the hundreds place is 0, 1, 2, 3 or 4 we replace the digits in the
hundreds, tens and ones place by zeroes. If the digit in the hundreds
place is 5, 6, 7, 8, or 9 we replace the digits in the hundreds, tens
and ones place by zeros. We also increase the digit in the thousands
place by 1.
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