Estimate to Nearest Tens

In order to estimate to nearest tens, we follow the following procedure :

Step I: Obtain the number.

Step II: Examine the digit at ones place.

Step III: If the digit at ones place is less than 5, then replace the ones digit by 0 and keep the other digits as they are;

If the digit at ones place is 5 or greater than 5, then increase tens digit by 1 and replace the ones digit by 0.

The number so obtained is the number obtained by rounding off the given number to the nearest tens.

Now, let us consider some of the examples how to estimate to nearest tens.


Round off each of the following numbers to the nearest tens:

(i) 79

Ones or unit digit in 79 is 9, which is greater than 5.

So, we replace the ones digit by 0 and increase the tens digit by 1 to get the rounded off number.

Hence, rounded off number = 80.

(ii) 44

The given number is 44.

Its ones or unit digit is 4, which is less than 5. So, we replace the ones digit by 0 to get the rounded off number.

Hence, rounded off number = 40.

(iii) 758

The given number is 758.

Its ones or unit digit is 8, which is greater than 5. So, we replace the ones digit by 0 and increase the tens digit by 1 to get the rounded off number.

Hence, 986 is rounded off as 760 to the nearest tens.

(iv) 9009

The given number is 9009.

Its ones or unit digit is 9, which is greater than 5. So, we increase the tens digit by 1 and replace the ones digit by 0 to get the rounded off number.

Hence, rounded off number = 9010.

(v) 50001

The given number is 50001.

Its ones or unit digit is 1, which is less than 5. So, we replace the units digit by 0 to get the rounded off number.

Hence, rounded off number = 50000.


Note:

For estimating to the nearest 10, we look at the digit in the ones place. If it is 0, 1, 2, 3 or 4 we replace it by zero. If the digit in the ones place is 5, 6, 7, 8, or 9 we replace it by zero. If the digit in the ones place is 5, 6, 7, 8 or 9 we replace it by zero and increase the digit in the tens place by 1.

Estimate

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