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 )
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
