Lesson8

  

                               Let us try a long multiplication 235465 x233297 =????
                               This is the conventional method and  everybody know this method so I am skipping the explanation.

          2 3 5 4 6 5
        x_ 2_ 3_ 3_ 2_ 9_ 7_
        1 6 4 8 2 5 5
      2 1 1 9 1 8 5 x
      4 7 0 9 3 0 x x
    7 0 6 3 9 5 x x x
  7 0 6 3 9 5 x x x x
_4 7 0 9 3_ 0_ x_ x_ x_ x- x_

_5

 4 9 3 3_ 2_ 7_ 8_ 1_ 0_ 5_
                     

                                    Now  the real magic of  vedic maths come here  and you can solve this problem in few  seconds

                                         Steps        Almost same as we  do in previous lesson  .Start from
                                                          right ,multiply  5 to7  (5x7=35) write 5 take carry3                                                

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
                              35

                                                            Now multiply 6 to 7 ,9 to 5 add together with carry 3
                                                                6x7+9x5 +3 =42 +45+3=90 write  90 before 5

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
        _ _ _ _ _ _ _ _ _ _ 90 35

                                                       Now multiply 4to5 ,5 to2 ,6 to 9 add together with carry9
                                                          4x7+5x2+6x9+9= 28+10+54+9=101

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
                          101 90 35

                                                          Now 5x7+4x9+6x2+5x3+10 =35 +36+12+15+10=108

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
                        108 101 90 35

                                                        Now 3x7+5x9+4x2+6x3+5x3+10=21 +45+8+18+15+10=117

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
                      117 108 101 90 35

                                                        2x7+3x9+5x2+4x3+6x3 +5x2+11=14+27+10+12+18+10+11=102

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
                    102 117 108 101 90 35

                                                           2x9+3x2+5x3+4x3+6x2+10=18+6+15+12+12+10 =73

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
                  73 102 117 108 101 90 35

                                                              2x2+3x3+5x3+4x2+7= 4+9+15+8+7=43

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
                43 73 102 117 108 101 90 35

                                                                     2x3+3x3+5x2+4=6+9+10+4=29

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
              29 43 73 102 117 108 101 90 35

                                                                          2x3+3x2+2=6+6+2=14

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
            14 29 43 73 102 117 108 101 90 35

                                                                                 2x2+1=5

          2   3   5   4   6   5
                               
      x _ 2 _ 3 _ 3 _ 2 _ 9 _ 7
          5 14 29 43 73 102 117 108 101 90 35

                                                                     Our required answer is  5493327109

                  It looks quite boring and tedious .But certainly a  great time saver,  do  practice and become master
                                                                                                        

 

                                                                                                  

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