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Wednesday, August 11, 2010

Square of 2 digit number

Let us find square of number 34
1.Make 3 blocks for answer.
2.Write square of digit at unit place in 3rd block and square of digit at tens place in 1st block.(sq. of 4=16,write it in 3rd block and sq. of 3=9,write it in 1st block)
3.Find product of two digit and write answer in 2nd block.(3×4=12,write it in 2nd block)
4.By doing so u will find that ratio of 1st block number to 2nd block number, is equal to the ratio of 2nd block number to 3rd block. (i.e 9:12=12:16)
5.In 2nd block write the same number again.
6.For getting ans. add the numbers written in same block. While writing ans in 2nd and 3rd block you can write one 1 digit and the left digit will be carry over by the other block.
1st                  2nd                   3rd
9                     12                       16
                     +12
-----------------------------------------------------------------------
                                                    6

You can write 6(only 1 digit)in 3re block and 1 will be carry over to next block so in next block u will get 12+12+1=25 and u can write only 1 digit so write 5 and 2 will be added with number in 1st block. In 1st block u will get 9+2=11. In 1st block  u can write more than 1 digit.
Have a look
1st                2nd                       3rd
9                   12                         16
                   +12
---------------------------------------------------------------------------
11                     5                          6
Ans is 1156
(34)² = 1156

Let us take one more number 63

1st                   2nd                        3rd
36                     18                             9
                       +18
------------------------------------------------------------------
39                          6                         9
Ans - square of 63 is 3969
Let us take one last number 97
1st                  2nd                          3rd
81                     63                          49
                       +63
-----------------------------------------------------------------
94                       0                              9
Ans-square of 97=9409

2 comments:

  1. WOW THIS ONE IS REALLY VERY NICE........I MISS U SO MUCH. U R ONE OF THE BEST TECHERS OF MINE

    ReplyDelete
  2. hmmm...quite an easy method....will use this one.....now onwards....

    ReplyDelete