Question

List of all numbers which are rounded off to nearest ten as 370.

Answer 1

Hint: Here we use estimation rules to find out the list of all the numbers. When we estimate a number.
We look at the digit to the right of the digit we want to estimate, in this question it’s tens place. Check the ones digit (to the right of tens digit), if it’s greater than or equal to 5, then increase the tens digit by 1 and change the ones place to zero. If it’s less than 5, then leave the tens place as it is and change the ones place to zero.

Complete step by step answer:
In the above question we have to find the list of all numbers which are rounded off to nearest ten as 370. When we estimate a number to tens place, we check the ones digit. Let’s consider that we are estimating a number and we’ll call it the original number.
CASE 1: The ones digit of the original number is less than 5, then we leave the tens place as it is and make the ones digit as zero.
In this case, the numbers will be:
$370, 371, 372, 373, 374$
CASE 2: The ones digit of original number is greater than or equal to 5, then we increase the tens digit by 1 and change the ones digit to zero.
In this case, the numbers can be:
$365, 366, 367, 368, 369$
Hence the entire list of numbers which are rounded off to nearest ten as 370 is:
$365, 366, 367, 368, 369, 370, 371, 372, 373, 374$

Note:
Estimation is a very powerful tool as it helps us to determine the reasonableness of the answer. The general rule of estimation is to look to the right of the digit we want to estimate. Students make a common mistake of getting confused between place values like hundreds, thousands place and many more. Another mistake that can change the entire answer is not looking towards the right instead checking the rules for the same digit. These mistakes should be avoided.