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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 


                         
                         

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