Sunday, 27 October 2013

Vedic method OF Subtraction from 100/1000/10000

Vedic   method OF Subtraction from 100/1000/10000

The Simple  Vedic Method uses the sutra “All from 9 and last form 10 “ and gives a very simple technique.
The result can be obtained from both left to right as well as right to left with equal ease. It states that the result can be obtained by subtraction of each digit from ‘9’ and the last digit from ‘10’.
e.g.                               10000
                                    -  8678
We can get result from left to right of vice versa from right to left as
            (9 – 8)              (9 – 6)              (9 – 7)              (10 – 8)            =          1322
i.e. all digits except the last one are subtracted from 9, and the alst from 10 and the result is there
the same technique can be used for decimal subtraction also .
e.g.                  2.000 – 0.672

the operation here is subtraction of 676 from 20000 where 1 is carry from left.


Let find the square of 995, this number nearest to 1000, we take 1000 as base
Steps to follow
1.     Make a partition and on the right side of the partition there are three places as base 1000 has two zeros.
2.     Difference  less than base.
3.     Square the difference  less than base, write on the right side of the partition.
4.     Subtract difference from rest number.
 e.g.
1.     Make a partition and on the right side of the partition there are three places as base 1000 has two zeros.
2.     Number less than base i.e. 1000 – 995   =   5.
3.     Square of 5 i.e. 25,    write 025  on the right side of the partition.

4.     Now , subtract 5 from 995 i.e. 990 and write 990 before 025 

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