Vedic Maths multiplication method

Shree Ganeshay Namah

Good morning friends ...

Today I start my blog where I represent some maths tricks for you.

Now I am starting my first trick

1. Condition : This trick is used when we multiply quickly two numbers near a power of 10. Example. 113×112 , 91×87 ,1005×1011 , 109×96

Illustration 1 :
107×109
Numbers Base Difference

107 100 +7

×109 100 +9

Solution:
1st part / 2nd part (2 digits)

(Number of digits in the 2nd part =Number of 0s in the base)

step 1→107+9 or 109+7 / 7×9

step 2→116 / 63

Answer is 11663

Illustration 2 :
112×109

Numbers Base Difference

112 100 +12

×109 100 +9

Solution:
1st part / 2nd part (2 digits)
(Number of digits in the 2nd part =Number of 0s in the base)

step 1→112+9 or 109+12 / 12×9

step 2→121 / 108

step 3→121+1(carry) / 08

step 4→122 / 08

Answer is 12208

Illustration 3:
98×93

Numbers Base Difference

98 100 -2

×93 100 -7

Solution:

1st part / 2nd part (2 digits)
(Number of digits in the 2nd part =Number of 0s in the base)

step 1→98-7 or 93-2 / 2×7

step 2→91 / 14

Answer is 9114

Illustration 4:
87×89
Numbers Base Difference

87 100 -13

×89 100 -11

Solution:

1st part / 2nd part (2 digits)
(Number of digits in the 2nd part =Number of 0s in the base)

step 1→87-11 or 89-13 / 13×11

step 2→76 / 143

step 3→76+1(carry) / 43

step 4→77 / 43

Answer is 7743