From the last subtopic we have an idea about rounding off and the need for rounding off and its real life application. This topic will explain in detail more about the method of rounding off to nearest tens along with various examples which will help the learners in getting a clear concepts and understanding about rounding off. Moreover, this section would deal with rounding off to nearest tens.
When we are rounding off to nearest tens then we will see whether the given number ends with 5, 6, 7, 8, or 9. If so, then it will be rounded off to the next nearest tens.
If the given number ends with 1, 2, 3, 4 then it will be rounded off to previous tens. Hence we can say that 5 is the mid value for checking whether a number should be rounded off to the next or previous nearest tens.
Here are few examples illustrated on rounding off to nearest 101.
1. Round off the following to nearest tens:
(i) 45
(ii) 32
Solution:
(i) 50
As we know if a number ends with 5, 6, 7, 8 or 9 then we round it off to next nearest 10.
(ii) 30
here also the number ends with 2 and we know that if a number ends with 1, 2, 3 or 4 then it is rounded off to previous tens. Hence 32 will be rounded off to 30
2. Round off the following to nearest tens:
(i) 767
(ii) 514
Solution:
(i) 770
Here the number is 767 hence it ends with 7. We know that if a number ends with 5, 6, 7, 8, or 9 then it is rounded off to next nearest tens. Therefore, 767 lies between 760 and 770 and hence the nearest tens is 770.
(ii) 510
514 ends with 4 that is less than the mid value 5 so it will be rounded off to previous tens that is 510. 514 lies between 510 and 520 and the mid value is 515 and 514 is less than the mid value so it will be rounded off to 510 the nearest tens
3. Round off the following to nearest tens:
(i) 8563
(ii) 2796
Solution:
(i) 8560
8563 will be rounded off to 8560 as the last digit is 3 that is less than the mid value 5 so it will be rounded off to 8560. When the last digit is less than 5 (mid value) that is 1, 2, 3, 4 then the number is rounded off to the previous nearest tens.
(ii) 2800
2796 will be rounded off to 2800 as we know when the last digit is 5, 6, 7, 8 or 9 it is rounded off to the next nearest tens. As 96 lies between 90 and 100 and the nearest tens to 96 is 100. So instead of 96 it will be rounded off to 100. Hence the number to which 2796 will be rounded off is 2800.
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