Posted in Vedic Mathematics

The beauty of multiplication of 1’s with 1’s

  1 x 1 = 1
11 x 11 = 1 2 1
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321
Observe it carefully! This is a simple logic of vedic mathematics.The multipilcation of number of one’s with the same number of one’s can be easily written.If there are 2 one’s in that number say (eleven ,has 2 one’s in it and if eleven has to be multiplied with eleven) then write first 2  natural numbers and then leave the last number and again write those numbers in reverse order.
That is,
11 x 11 = ?
step 1:
write first 2  natural numbers
1 2
step 2:then  leave the last number…that is 2 is left
step 3: again write those numbers in reverse order. that is 1
step 4: assemble all these 1 2 1
therefore, 11 x 11 = 1 2 1
Another example:

111 x 111
step 1: 1 2 3
step 2: leave 3
step 3:  21
step 4: assemble all 12321
therefore 111 x 111 = 12321

Will feel happy if atleast one of u understood what I wrote.I learnt this from my Sir (who was 80 years old then )


A fearless Czarina and Shameless optimist who lives life by her own rules

9 thoughts on “The beauty of multiplication of 1’s with 1’s

  1. Wait wait… you mean we can write any of the natural numbers :S … and.. how do we know that we have to stop at first 2 or first 3 digits and then reverse the numbers :S a lil confused here..

    If you can give one more example.. it will sure help.

    Anyways.. good effort.

  2. HI there!
    Thats a neat way to get the Pascal’s Triangle. It is also knows as Halayadha’s Meruprastar. 🙂 One of the Vedic Gems. 🙂
    Read more about Vedic Maths here. This site has many more methods on how to do calculations much much faster compared to modern math.I am sure you will find it useful. It also has an interesting way to multiply numbers with 11. Astonishingly Simple. Do Check it out.

    Warm Wishes
    Vedic Mathematics

  3. @Gaurav Tekriwal ji!
    I heard about you earlier and its an honour that you replied in my post 🙂
    Will check out the site and I request you to contribute in my blog in your leisure.

  4. @ Hiiiiiiiiiiiiiiiiii Maryam!
    Good Morning!
    First of all…Welcome to my blog and its really a pleasure to read your comments! I will post a detailed explanation about this as soon as possible.

  5. hai prasanna, this is what we know it is as pascals triangle.great effort made by you my wishes.there are many ways to multiply numbers in the easiest way.

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