Math Square Tricks - How to square a number near Base 100 in 5sec ?

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Atech Academy

Atech Academy

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Square of nos Near base 100 - Atech Classes
Aptitude tricks and tips to find squares of numbers easily. Shortcuts to help you find squares in seconds!
Today we are going to learn effective shortcut methods to find the squares of numbers close to 100.
Number close to 100:-
Find the square of no. 98?
Answer:
Step-1:- Take a base value of 100.
Step-2:- Find the deviation with 100. (Remember to consider the sign). 98 is 2 less than 100. So, we need to subtract 2 from 100 which means the deviation is -2.
Step-3:- For unit digit find the square of deviation = (-2)2 = 04.
Step-4:- Add deviation to the given no. for which we need to find the square. Here, 98 + (-2 ) = 96. This is the value of tens place. So the answer is 9604. This answer is incorrect. If we do the square of any two-digit no. greater than 31, the square will always have 4 digits in it. Here we need to find the square of 98 which means the square will have 4 digits. Hence, we need to add “0” before the deviation square. So, the answer is 9604.
Number close to 1000:-
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