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 .
