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 2^nd sutra of Vedic maths. The 1^st 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 2^nd deviation(2) from 1^st 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

Vedic (vadic) maths – lesson 1

Vedic math or the ‘fast math’ is a system of reasoning and mathematical working based on ancient India teachings called Veda. It is fast efficient easy to learn and use.

It is being taught in some of the most prestigious institutions in the England and Europe. NASA applied its principals in the filed of artificial intelligence.

What is vadic maths?

It is an ancient technique which simplifies, multiplication, divisibility, complex numbers, squaring, cubing, and square and cube roots. Even recurring decimals and auxiliary fractions can be handled by vadic maths. Vedic math’s forms a part of the jyotish shastra which is one of the six parts of vedangas. The jyotish shastra or astronomy is made up of 3 parts called skandas, it mean big branch of tree shooting outwards.
Vedic maths was made famous by a swami called bharathikrishna (1184-1960)

Basis of vadic maths

The basis of vadic maths is 16 sutras, which attribute a set of qualities to a number or a group of numbers. The ancient Hindu scientist (rishis) of bharat (India) in 16 sutras (phrase) and 120 words laid down simple steps for solving all mathematical problems in easy to follow 2 or 3 steps.

Mental or 1 or 2 line Vedic methods can be used effectively for solving division, reciprocal, factorization , HCF , squared and square roots, cubes and cube roots, algebraic equations, multiple simultaneous equations, higher degree equations, differential calculus, partial fractions, integration, Pythagoras theorem , Apollonius theorem, analytical conics and so on.

Is it useful in today’s world?

Given the initial training of modern math to students in today’s school, students will be able to comprehend the logic and achieve unimaginable help in their working in the world afterwards. It is amazing how with the help of 16 sutras and 16 sub-sutras the vedic seers were able to mentally calculate complex mathematical problems.

Vedic maths is utmost important for every GMAT and CAT aspirant. It will give u a huge boost in your quant section as you will be able to do all the calculation mentally and with amazing fast speed. This saves time in your examination and increases your moral.

Now we all know what is vadic maths and it importance. In the next lesson we will start with the 16 sutras and how to apply the vadic math logic to mathematical problem.