Vedic Arithmetic Part 1

Sometimes in exam after a long calculation, we worry if our answer is right or wrong. Also, going back and calculating again is waste of time. Here is faster way to verify your answer (of addition, subtraction and multiplication).

1. Digital Root

How to evaluate it --

a. Adding digits
eg. 2351068
Digital root is 2+3+5+1+0+6+8 = 25, 2+5=7

b. Casting Out nines
eg. 2351068
Cast out 3,6 ; 1,8 ; 0 (since their sum is 9) (Here 9 ~ 0)
Therefore digital root is 2+5 = 7

Use :
Used to verify addition , Subtraction and multiplication

Rule: Digital root is preserved during above operation.

eg:

Addition
981723 + 54281 = 1036004
Digital root::
of 981723 is 3
of 54281 is 2
of 1036004 is 5 (which is 3+2, therefore our answer is correct)


Multiplication
213 X 121 = 25773
Digital root ::
of 213 is 6
of 121 is 4
of 25773 is 6

6X4=24 (whose digital root is 2+4=6 , which is same as that of 25773, therefore our answer is correct)