# 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

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

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

## 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,

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

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

1                         2 0

1   +   2   =   3

(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

107

2

59

26

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• AUTHOR

t.elia

5 years ago from Northern Ireland

• AUTHOR

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

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!

• AUTHOR

t.elia

8 years ago from Northern Ireland

Thanks ramraider

• AUTHOR

t.elia

8 years ago from Northern Ireland

Hi Billy

• 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.

• Ramraider

8 years ago

Cool

working