division of numbers with vedic mathematics

square of numbers using vedic mathematics

Square of numbers using vedic mathematics

We can find the Square of any number in just less than 5 sec 

Square of numbers ending with ones place digit as 5 (up-to 95)

• add one to tens place number and multiply by tens digit / ones place square

15² = 1 x 2 / 5 x 5          =  2 / 25    = 225

45² = 4 x 5 / 5 x 5          =  20 / 25    = 2025 

55² = 5 x 6 / 5 x 5          =  30 / 25    = 3025

75² = 7 x 8 / 5 x 5          =  56 / 25    = 5625

95² = 9 x 10 / 5 x 5          =  90 / 25    = 9025

Square of any number  (up-to 99)

• tens place square / tens x ones x 2 / ones square

23² = 2² / 2x3x2 /3²   =  5 / 2¹  (12)/ 9   = 5,2,9 =529

58² = 5² / 5x8x2 / 8²  =  33 / 6⁸  (86)/ 4⁶ (64)  = 33,6,4 =3364

  

48² = 4² / 4x8x2 / 8²  =  23 / 0⁷  (70)/ 4⁶ (64)  = 23,0,4 =2304

32² = 3² / 3x2x2 / 2²   =  10  / 2¹  (12)/ 4   = 10,2,4 = 1024

88² = 8² / 8x8x2 / 8²  = 77 / 4¹³   (134)/ 4⁶ (64)   = 77,4,4 =7744

Square of three digit numbers 

• first 2 digits square / first 2 digit x ones digit x 2 / ones digit square

123² = 12² / 12 x 3 x 2 / 3²   =  144 / 2⁷  (72)/ 9   = 151,2,9 =15129

453² = 45² / 45 x 3 x 2 / 3²   =  2052 / 0²⁷  (270)/ 9   = 2052,0,9 =205209

225² = 22² / 22 x 5 x 2 / 5²   =  506 / 2²²  (222)/ 5²   = 506,2,5 = 50,625

524² = 52² / 52 x 4 x 2 / 4²   =  2745 / 7⁴¹  (741)/ 6¹   = 274576 = 274576

324² = 32² / 32 x 4 x 2 / 4²   =  1049 / 7²⁵  (257)/ 6¹   = 1049,7,6 = 104976

 

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