LikhoPadho

Multiplication of two-digit numbers

In Vedic Maths, Multiplication of two digit numbers can be done by Nikhilam Sutra (Base Method)
Case 1: -  Both Numbers are higher than Base (10)

For Example:- 13 x 16
Step 1 –

Y= nearest power of 10 i.e. 10, 100, 1000, 10000. 
Thus nearest power of 10 to the number 13 and 16 is 10.
Z 1 = X 1 – Y, Z 2 = X 2 - Y

Step 2 -

Part A = (X1 + Z 2)
Part B = Z1 x Z2

Step 3 - 

Ans :- 208

Rule 1:- No. of zeros in base is equal to no. of digits in part B. 
Therefore 1 carried over to Part A 
Now Club Part A with Part B for Final Answer

 Another Example of Two Digit Numbers higher than Base (10)
17 x 18

Step 1 –

Y= nearest power of 10 i.e 10, 100, 1000, 10000. 
Thus nearest power of 10 to the number 17 and 18 is 10.
Z 1 = X 1 – Y , Z 2 = X 2 - Y

Step 2: -

Part A = (X1 + Z2)
Part B = (Z1 x Z2)

Step 3 :- 

Ans :- 306

Rule 1:- No. of zeros in base is equal to no. of digits in part B. 
Therefore 5 carried over to Part A
Now Club Part A with Part B for Final Answer.