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# How to Calculate using Vedic Mathematics

## 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 )**

_{ }

_{ 2}0

**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**

## Comments

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!

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.

Cool

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