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How to Calculate using Vedic Mathematics

Updated on October 4, 2010

Vedic Mathematics

 

 

Vedic Mathematics is an ancient system

of Mathematics from the Vedas,

(1911 and 1918)

- rediscovered by -

Sri Bharati Krsna Tirthaji (1884-1960).

 

His research of mathematics is based on sixteen Sutras or word-formulae, e.g.  ' Vertically and Crosswise`,  'All from 9 and the last from 10 ', are a couple of examples. In this hub we will be looking at a few of the techniques within these Sutra's

Sutra for subtraction; "All from 9 and the last from 10".

Here we will be applying the Sutra " All from 9 and the last from 10"

 

 

This Sutra allows us to subtract.

 

 

Example 1

 

1 0 0 0    -    6 5 3    =    3 4 7

 

 

1 0 0 0    -                  6                           5                          3

                            

                             subtract             subtract              subtract

                               from                    from                     from

                                  9                           9                         10

                                 

                                  ↓                            ↓                          ↓

                                  3                            4                          7

 

 

                                                    (Answer) 347

 

 

Example 2

 

 

1 2 0 0 0    -    4 6 3    =    1 1 5 3 7

 

In this example we are going to reduce the 12 by 1 giving us 11 and then apply the Sutra " All from 9 the last from 10".

 

1 2 0 0 0    -       4                       6                       3

 

Reduce       subtract           subtract           subtract

by 1                 from                 from                 from

                           9                       9                      10

   ↓                       ↓                       ↓                       ↓

 

   11                     5                       3                      7

 

 

                               (Answer) 11537

 

 

Example 3

 

 

In the example below we have more zero's than figures in the numbers were

subtracting, so we will simply write the 2 3 as 0 2 3 and continue.

 

 

1 0 0 0    -    23    =    9 7 7

 

1 0 0 0    -      0                            2                           3

               

                  subtract              subtract               subtract

                      from                    from                      from

                        9                           9                           10

 

                         ↓                           ↓                             ↓

 

                         9                           7                             7

 

 

                                           (Answer) 9 7 7

 

 

Sutra for Multiplication- "vertically and crosswise"

 

 

This is an easy way to work out multiplication in mathemathics.

 

 

e.g.

 

 

If we are multiplying;

 

5 x 6 it has a base of 10

 

 

5 x 6 = 30

 

5............................5 ( 5 is the difference from the base of 10)

                              x

6............................4 ( 4 is the difference from the base of 10)

-------------------------------------------------------------------------------------------------------

(i)

5........................5 (Starting from the right multiply vertically 5 x 4 = 20 )

                          x

6........................4 ( put down the 0 and carry the 2 )

                                                                   

                               20

 

 

Starting from the left subtract crosswise

 

 

6 - 5 = 1

 

 

or

 

 

5 - 4 = 1 (This gives the vertical number for the first column,

                                          REM to add the 2)

 

 

5............................5

 

 

6............................4

                                

1                         2 0

 

 

1   +   2   =   3

 

 

So answer is 30

 

 

 

 (ii)

 

7   x   8   =  56

 

these numbers have a base of  10

 

7............................3 ( 3 is the difference from the base of 10)

 

8............................2 ( 2 is the difference from the base of 10)

 

----------------------------------------------------------------------------------------------

 

7........................3 (Starting from the right multiply vertically 3 x 2 = 6 )

 

                          x

 

8........................2

                             

  5                      6 

 

Then subtract crosswise 7  -  2  =  5  or  8  -  3  =  5

 

This gives you your answer of 56

 

 

 

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    • t.elia profile imageAUTHOR

      t.elia 

      5 years ago from Northern Ireland

    • t.elia profile imageAUTHOR

      t.elia 

      8 years ago from Northern Ireland

      Thankyou very much BkCreative for the positive feedback and the share factor.Will definately look up your Fibonacci numbers.

      I personally love doing maths using the Vedic principles

    • BkCreative profile image

      BkCreative 

      8 years ago from Brooklyn, New York City

      This is so wonderful and thanks I'll share it. I'm glad you discussed this topic. When I wrote about the Fibonacci numbers I was sure to include that this process was done centuries before in India.

      Great hub! Thanks so much!

    • t.elia profile imageAUTHOR

      t.elia 

      8 years ago from Northern Ireland

      Thanks ramraider

    • t.elia profile imageAUTHOR

      t.elia 

      8 years ago from Northern Ireland

      Hi Billy

      Thank-you very much, your comments are always appreciated.

    • billyaustindillon profile image

      billyaustindillon 

      8 years ago

      I have to say I have never heard of Vedic Mathematics before. You truly do make maths interesting and I have always enjoyed your trig and fig hubs. Now you are giving a very expansive history lesson.

    • profile image

      Ramraider 

      8 years ago

      Cool

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