Rounding off to nearest tens give closer estimate than rounding off to...
Rounding off to nearest tens vs. rounding off to nearest hundred
Rounding off to nearest tens provides a closer estimate than rounding off to nearest hundred. This is because when we round off to the nearest tens, we are looking at the last digit of the number to determine whether to round up or down. This means that the final estimate will be within a range of 5 units above or below the original number.
On the other hand, rounding off to the nearest hundred involves looking at the last two digits of the number. This means that the final estimate will be within a range of 50 units above or below the original number. This wider range can result in a less accurate estimate compared to rounding off to the nearest tens.
Explanation:
- When we round off to the nearest tens, we are only concerned with the last digit of the number. For example, when rounding off 56 to the nearest tens, we look at the digit 6 and determine that it is closer to 60 than 50, so we round up to 60.
- This method of rounding provides a more precise estimate because the range of possible values is smaller (e.g., 55 to 65 for rounding off to the nearest tens).
- On the other hand, when rounding off to the nearest hundred, we look at the last two digits of the number. For example, when rounding off 456 to the nearest hundred, we look at the digits 56 and determine that it is closer to 500 than 600, so we round down to 400.
- This method of rounding provides a less precise estimate because the range of possible values is larger (e.g., 450 to 550 for rounding off to the nearest hundred).
In conclusion, rounding off to the nearest tens gives a closer estimate than rounding off to the nearest hundred due to the smaller range of possible values and the focus on the last digit of the number.
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.