Vedic Multiplication by 11

Posted on July 15, 2009

Speed Vedic Multiplication Trick

Vedic Multiplication by 11

Step 1.

Assume that there are two invisible 0 (zeroes), one in front and one behind the number to be multiplied with 11

say if the number is 234, assume it to be 0 2 3 4 0

Step 2.

Start from the right, add the two adjacent digits and keep on moving left

02340

Add the last zero to the digit in the ones column (4), and write the answer below the ones column. Then add 4 with digit on the left i.e. 3. Next add 3 with 2. Next 2 with 0.

0+4 = 4

4+3 = 7

3+2 = 5

2+0 = 2

So answer is 2574

Similarly,

36 x 11 = 0+3 | 3+6 | 6+0 = 396

74 x 11 =0+ 7 | 7+4 | 4+0 = 7 | ₁1 | 4 = 814 (1 of 11 is carried over and added to next digit, so 7+1 = 8 )
6349 x 11 = (0+6) | (6+3) | (3+4) | (4+9) | 9+0 = 69839

This method works for all the number, no matter how long or short, times 11. Just try it yourself and get amazed at the simplicity of the concept.

In the next post will learn Vedic Multilplication by 111, 1111, 11111, and so on.

Posted by Vineet Patawari

Filed under: Speedy Calculation, Vedic Mathematics Leave a comment

Comments (7) Trackbacks (1) ( subscribe to comments on this post )

Vilas Thakur
December 1st, 2012 - 11:47

Nice Trick or concept used to calculate the multiplication by 11 with any numbers .

( REPLY )
rajendra
April 26th, 2012 - 13:36

thank u.

( REPLY )
Dipali hondkar
September 29th, 2011 - 08:43

Hi,
plz send me multiplication of 22,33etc on my email adress. I wil be very thankful to youuu,..

( REPLY )
- Anupam Das
  September 29th, 2011 - 21:05
  
  Firstly, Dipali, let me tell you that yours email address is not visible to me as a visitor of the blog only owner can see it, secondly I will be sharing here only so that most of the people can benefit from it and thirdly please subscribe to the entry which you post in this forum so that any response notification will reach you promptly.
  
  First of all let me apologize to you and Vineet that I was trying to write how to multiply quicker by 12 and 13 and mistook that and has written those as 22 and 33………but since you have shown your concern to find out how to quickly multiply by 22 & 33….lets find an way……..this may sound silly and please keep in mind that necessity is the mother of all invention………..u can’t just mug-up all quicker techniques just try urself how to get a quicker method….ok pls dont mind if my sayings sounds like preaching………….ignore these all………
  
  Lets take Vineet’s example: 234, assume it to be 0 2 3 4 0 now let us first multiply it by 11 as already shared by Vineet: (0+2)(2+3)(3+4)(4+0)
  = 2574
  so simple……now just twice it to get the multiplication by 22:> 2*2574=5148 is not this simple………………ha ha ha as 22 is nothing but 2*11….hope you will not ask now how to multiply by 33.
  ***********************************************************
  
  Now coming to the point quick multiplication by 12 & 13:
  let us take a big number say 6893 *12
  = [just twice the number and add to the neighbour (this is actually an extension of the method as shared by Vineet)]
  =(0+6)(12+8)(16+9)(18+3)(6+0)
  =(0+6)2(0)2(5)2(1)(6+0) (The number outside bracket is nothing but carried nos.)
  =82716 answer……………..please write-back if anybody feels any doubt ….actually by just simple 1-2 times practice this can be done orally.
  
  ( REPLY )
  - admin
    September 29th, 2011 - 22:26
    
    Thanks Anupam for your efforts to explain the multiplication of 12 and 13. It will be useful for all.
Anupam Das
September 28th, 2011 - 20:52

If someone is need of the quick multiplication of 22, 33 etc please let me know which is an extension of the method shared by Vineet.

( REPLY )
- Anupam Das
  September 29th, 2011 - 21:05
  
  Sorry…..please see the above reply of mine to Dipali’s post.
  
  ( REPLY )

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