multiply two digit numbers using vedic maths

Multiply two digit number using vedic mathematics 


Quick Multiplication of same Base

24*
26
----
6,24

 24 x 26     =  (add 1 to 2) 3x2 / 6x4
                =  6, 24


74 x 76      = (add 1 to 7) 8 x7 / 6x4
                = 56, 24


38 x 32      = (add 1 to 3) 4x3 / 8x2
                = 12, 16

This method can be used in a condition when

• both the numbers are in same base (here base is 20)
• the once place numbers should be a sum of 10 (ie when we add the once place digits the result should be 10)

first multiply the once place digits (4*6 = 24)
write 24 as such
then add 1 to 2 (1+2 =3)
then multiply (3*2 =6)
now we get the answer as 624

Quick Multiplication of Any two different numbers Base 

25 x 32  = 2x3 / (2x2 + 5x3) / (5x2 )

            = 6    /  0²  (20)       /  0¹ (10)

            =  800

56 x 85 = 5x8 / (6x8x+5x5) / 6x5 
         
           = 47 / 6⁷ (67)        /  0³ (30)
          
           = 4760 

12 x  24 = 1x2 / (2x2+1x4 )/2x4

            = 2   /      8          /8 
           
            = 288 


Quick Multiplication of with Respect to 100 Base

make  to base 100

• 98 x 96 =  (100 - 2) x (100 - 4)

                  =  94 ( 98-4 or 96 -2) / 08 (-2 x -4)

                  = 9408 

• 102 x 98 =  (100 +2) x (100-2)

                    =  100 (102 -2 or 98 +2)(+2 x -2)

                    =  100 / - 04  (Negative number we cant write that number so Take 100 from right and add to - 04)
           
                    = 99 /  (100 - 04) 96

                   = 9996 

• 103 x 95  = (100 + 3 ) x (100 - 5)

                      =  98 (103-5) / (3x-5)

                     =   97  / (100-15) 85 

                     =   9785 

Multiplication of any number by 11

• 55 x 11 =  5 / 5+5 / 5

                   = 605

• 68 x 11 = 6 / 6 + 8 / 8

                   = 748

• 89 x 11 = 8 / 8+ 9 / 9

                  = 979

• 25 x 11 = 2 / 2+5 / 5

                   = 275

• 45 x 11 = 4 / 4 + 5 / 5

                   = 495