Estimate to Nearest Thousands

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.

Estimate

Estimate to Nearest Tens

Estimate to Nearest Hundreds

Estimate to Nearest Thousands

Estimating Sum and Difference

Estimating Product and Quotient






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