Saturday, June 16, 2007

vedic matsh lesson - 2

Hello friends.How the preparation is is going. I am back with vedic maths lesson 2 as I promised in earlier post and I can say your wait for this post hasn’t got waste as this post will give a direct hint to what amazing power vedic maths has and why u need to master it.

I said in my first post that vedic maths is contained in 16 sutras and 16 sub sutras. Today in this post I shall start with the sutras.

I’m starting with the 2nd sutra of Vedic maths. The 1st will come a little later on.

SUTRA 2 – NIKHILAM NAVATAS’CARMAM DASATAH

(Simply meaning “all from 9 and the last from 10 “ )

This formula can be very very effectively applied to multiplication of numbers which are near to the bases like 10,100,100 ie to the power of 10’s.This formula is very simple and will make multiplication steps reduced to minimum and leave it all on very simple mental calculation. I bet after reading this post you will be able to do calculations like 997 x 990 in a matter of seconds maybe a minute at max and all yourself. So lets start.

The difference between number and base is called deviation. the deviation can be positive or negative. Negative deviation can also be written as bar n top of number but it’s not necessary.

Ex Number are 14. The deviation will be (14-10) = 4. We took base 10 here .Another example 96. The deviation here will be 3 (103-100). We took base 100 here.


Now lest start the multiplication . lets start with easy numbers like..

7 X 8

we will apply the nikhilam ( sutra 2) to do this now.

In this case the base is 10 for both the numbers.

Step 1-


Write both numbers to be multiplied one below the other like

7

8

Step 2 – take deviation from both numbers and write them in from of them like..

7 -3

8 -2

Step-3 answer

Now the answer will have the 2 parts . The right hand side and the left hand side. Don’t get confused here its all very simple in practical sense.

7 -3

8 -2

7-2/ (3X2) = 5/6=56

as you can see what I did was in the RHS of the answer we just multiply the deviations that is 2X3 in LHS(left hand side) of answer we can do 4 methods but the method I chose here was I subtracted the 2 from 7 ie I subtracted 2nd deviation(2) from 1st number (7) and we got 5 as RHS ( right-hand side) of answer, then we just combined the RHS and LHS of answer and we get 5 / 6 = 56




Lets do this for :-

98 X 97

98 - 02

97 – 03

98-3 / 3x2= 95/06 = 9506




Example –

994 X 988

994 - 006

988 -012

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

994-12/ 6X12= 982/072 = 982072




1275 X 1004

1275 -275

1004 - 004

1279/275X4 = 1279/ 1_100 = 1280100 ( 1 got carries to RHS )




CASE - where one number is more and other is less than the base.


Example

13 x 7

13 - 3

7 - (-3)

13-03 / 3x3 = 10/-9 = 100-9 = 91

So that was the Sutra -2 . I know many of you may have doubts and question about this as it cannot be that simple. You can just leave a comment in the comments below with your questions and I will explain with example solutions.

Thank you


CHAT BOX