Square of a number which is near base of 10, 100, 1000.........

Square of a number which is near base of 10, 100, 1000.........

 

https://www.hamaraguru.com/assets/files/2018-01-11/1515669201-505446-imgur-17.jpeg
Steps for better understanding:
Step 1 : Select a nearest of 10 as the base.
Step 2 : The number 14 is 4 more than the base 10. Here 4 is referred to as offset or surplus.
Step 3 : Since the given number is more than the base 10, we add the offset to the given number to get 18. This forms the 1st part of the answer.
Step 4 : Find the square of the surplus 4 to get 16. This forms the 2nd part of the answer. 16 is a two digit number leaving 6 add 1 to left part of the answer. So, the final answer is 196.

 

Look at more examples to understand better:
https://www.hamaraguru.com/assets/files/2018-01-11/1515669777-40901-imgur-18.jpeg
https://www.hamaraguru.com/assets/files/2018-01-11/1515669941-412470-imgur-19.jpeg
https://www.hamaraguru.com/assets/files/2018-01-11/1515671410-737088-imgur-20.jpeg
Steps for better understanding:
Step 1: Select a nearest power of 10 as the base. So in this case, choose a base 100.
Step 2: The number 96 is 4 less than the base 100. Here 4 is referred to as deficiency.
Step 3 : Since the given number is less than the base 100, we subtract the offset to the given number to get 92. This forms the 1st part of the answer.
Step 4 : Obtain the square of the deficiency 4 to get 16. This forms the 2nd part of the answer.
So, the final answer is 9216.
Look one more example to understand better:
https://www.hamaraguru.com/assets/files/2018-01-11/1515674817-828283-imgur-21.jpeg