Sunday, March 3, 2013

Trick to get square of two digit number?



How to square the double digit number

This trick use simple multiplication and addition to get square of two digit number with in fraction of second. You can use this method to double any number from 11 to 99.Here we go
Let us start with number 14
Square of 14= 14 ×14
  14
×14
 196
Right Hand side digit  =        4 * 4 = 16 ,So the first digit is 6 and one carry
Second digit  =   2(1×4) + 1 = 9
Third digit  =  1 ×1 = 1
So the answer is 196
General rule for multiplication
                               
                                               2nd digit 2(1*4) + 1 carry from first digit
                                                            1        4             4 * 4 = 16
3rd digit  (1*1 + carry2nd digit)             1         4     
                                                          1   9     6


now 23* 23

first digit 3*3 = 9
2nd digit = 2(2*3) + carry from first here it is 0 so  2nd digit = 12
3rd digit  = 2 * 2 + carry from second digit here it is 1 = 5
answer is                 529


Try  23 27 87  99 34 and share the result with others in comment

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