Lesson8

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
21 1 9 1 8 5 x
47 0 9 3 0 x x
706 3 9 5 x x x
7063 9 5 x x x x
_4 7093_ 0_ x_ x_ x_ x- x_
_54933_ 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
_ _ _ _ _ _ _ _ _ _ 9035
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
1019035
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
1081019035
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
1171081019035
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
1021171081019035
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
731021171081019035
2x2+3x3+5x3+4x2+7= 4+9+15+8+7=43
2 3 5 4 6 5
x_2_3_ 3 _ 2 _ 9 _ 7
43731021171081019035
2x3+3x3+5x2+4=6+9+10+4=29
2 3 5 4 6 5
x_2_3 _ 3 _ 2 _ 9 _ 7
2943731021171081019035
2x3+3x2+2=6+6+2=14
2 3 5 4 6 5
x_2_ 3 _ 3 _ 2 _ 9 _ 7
142943731021171081019035
2x2+1=5
2 3 5 4 6 5
x_2_ 3 _ 3 _ 2 _ 9 _ 7
5142943731021171081019035
Our required answer is 5493327109
It looks quite boring and tedious .But certainly a great time saver, do practice and become master