Ultimate and Twice the Penultimate Vedic Sutra -Sopantyadvayamantyam

The Ultimate and Twice the Penultimate also known as 'Sopantyadvayamantyam" is the Thirteenth sutra in the Vedic Maths and it helps in solving problems immediately.Let us take any multiplication of 12 .

Example: 132 * 12 =?

Step 1 :
In this example, we are going to make a zero sandwich for the number 132 as follows
o 132 o

Step 2:
The above answer is our starter, from where we keep adding the last digit  and twice the second last digit .That means, we proceed for  o132o as follows

Last digit is "o" + Twice the second last digit " 2 "
= 0 + (2*2)
= 4      ------ (1)

Step 3:
Now we add the last digit 2 plus twice the second last digit again for the o132o

Last digit "2" + Twice the second last digit "3"
= 2 + ( 2 * 3)
= 8     ------- (2)

Step 4 :
Repeating the same steps as explained above,

Last digit "3" +Twice the second last digit "1"
= 3 + ( 2 * 1)
= 5   ...........(3)

Step 5:
Again,repeating the same steps

Last digit "1" + Twice the second last digit "0"
= 1   .........(4)

Step 6 :
Accumulating the derived answer in order as we move from left to right we , get

132 * 12 = (4)(3)(2)(1)

Therefore , 132  * 12 =1584

You can try it similarly for any other multiplication problems concerning 12 :).Visit this blog again , more on Vedic Maths to be blogged with more interesting sutra's .

VEDIC MATHS