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Friday, September 24, 2010

calculating the square of the number.

here is one of the simple way to calculate the square number.


Example: 232 = (23+3)(23-3) + 32
= (26)(20) + 32
= (26)(10).2 + 32
= 529

This looks like long procedure but its not!!!

Let me explain:
1. Add the number by the units digit and then multiply with the number subtracted by the same unit digit
2. to multiply added and subtracted numbers is also very simple as i hae shown in the example i.e split the     
    subtracted number in terms of 10's
3. And finally multiply it and add to the square of units digit number.

let me tell you people one more thing 

This shortcut is not a new thing but slight modification of the formula (a2-b2)
 It is modified like this: a2=(a+b)(a-b) + b2 .

So try this and keep practicing. Meanwhile will come up with new ideas :)

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