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

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:

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:

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