VEDIC MATHS-111

-

 

VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friends,

                      This is  post number 111 from the series of "Vedic maths" blogs. Here in this blog we will learn about "Applications of the Sutras & Sub-sutras - 11"

VEDIC MATHEMATIC :

"VEDIC MATHEMATICS" is the name given to the ancient system of mathematics, or, to be precise, a unique technique of calculations based on simple rules and principles, with which any mathematical problem be it arithmetic, algebra, geometry or trigonometry can be solved, hold your breath, orally!
What we call "Vedic Mathematics" is a mathematical elaboration of 'Sixteen Simple Mathematical formulae from the Vedas' as brought out by Sri Bharati Krishna Tirthaji.

Sub-Sutras: 

The system is based on 13 Vedic sutras or aphorisms, which are actually word formulae describing natural ways of solving a whole range of problems.
Some examples of sutras are "Anurupyena", "Antyayor Desakepi", and "Antyayoreva". These 13 one-line formulae originally written in Sanskrit, which can be easily memorized, enables one to solve long mathematical problems quickly.

5. Antyayoreva ( only the last terms )
For the equation in the format (AC + D) / (BC + E) = A/B, the result is A/B = D/E. For
Example:
i. (x²+x+1) / (x²+3x+3) 
= (x+1) / (x+3)
or, {x(x+1)+1} / {x(x+3)+1} = (x+1) / (x+3)
or, (x+1) / (x+3) = 1 / 3
or, x = 0

6. Lopana Sthapanabhyam ( By alternate elimination and retention )
This is to factorize complex equation by eliminating any of the variable. For example:

i. Factorize 2x² + 6y² + 3z² + 7xy + 11yz + 7zx

We have 3 variables x, y, z.
Remove any of the variable like z by putting z = 0.
Hence the given expression
E= 2×2+6y²+7xy =(x+2y)(2x+3y) …(Combination of Anurupyena & Adyamadyenantyamantya).
Similarly, if y = 0, then
E = 2×2 + 3z² + 7zx = (x+3z) (2x+z).
As x and 2x are present separately and uniquely. 

Hence we may map to get factors. 
E = (x+2y+3x) (2x+3y+z).

In next blog we will discuss about "Applications of the Sutras & Sub-sutras - 12".     

Are you excited for this?...
Then, please wait for it.
I will post my new blog in next week.

We will meet very soon through our next  blog. Till that stay connected, stay healthy and stay safe.

Thanks

for giving your valuable time.

Good day😊

Comments

Post a Comment

Popular posts from this blog

VEDIC MATHEMATICS

-
Image
  VEDIC MATHS                             By OMKAR TENDOLKAR Hello friends,                        I am Omkar Tendolkar from Kudal. I am studying in S.Y.B.Sc at SRM College, Kudal. I always enjoy sharing my knowledge. This is one of my attempts.            Some people find mathematics challenging to understand, while others struggle with calculations. Certainly, the comprehension of the subject depend on IQ (intelligent quotient), but equally crucial is one's perspective towards it. Because mastering calculation doesn't solely rely on a sharpe IQ; it also demands some basic tricks that can greatly assist in handling complex calculations.                  Starting today, I want to launch a "VEDIC MATHS" blog. Here, you will find a series of blog's explaining simple tricks that will undoubtedly ais you in your future endeavours. Thank you for dedicating your valuable time. Have a good day!                                                       Yours sincerely,       
Read more

VEDIC MATHS-1

-
Image
VEDIC MATHS                             By OMKAR TENDOLKAR Hello friends,                          This is our first blog in the series of 'Vedic Maths' blogs. Here, we will learn about the basic principles required in Vedic Maths. This blog will cover all the fundamental concepts necessary for understanding our next few blogs.   Base: It is the first number in the series. For a two-digit number: 10. Starting with 10, 100, 1000, 10000, etc. Complement: . Adding two numbers results in the next nearest base. 48 + 52 = 100. Then, We can say that 48 is the complement of 52 or 52 is the complement of 48. How to find: Subtract each digit from 9 and the last digit from 10. If... The last digit is 0, then take the second-to-last digit as the last one. For example: 60 is the complement of 40. All these examples, ranging from 2 digits to 6 digits, will clear any doubts you may have had after reading the initial few sentences. Actual examples clarify more than theory alone, which is why I
Read more

VEDIC MATHS-15

-
Image
  VEDIC MATHS                             By OMKAR TENDOLKA R Hello friends,                       This is our 15th blog from the series of "Vedic maths" blogs. Here in this blog we will learn about   "Criss-Cross System of Multiplication " . Criss-Cross System of Multiplication :                In Vedic Mathematics , we have similar system as like traditional way of multiplication it helps us to get the answer much faster. This system is also universal system and can be used for any combination of numbers of any length.                      This system of Multiplication is given by the " Urdhva-Tiryak Sutra. " It means ' vertically and cross-wise '. The application of this system are manifold, but in this blog we shall confine our study only to it's utility in multiplying numbers. We shall call it the  criss-cross system of multiplication . Reference: We had already learn about " Criss-Cross System of Multiplication for 2-digit number &qu
Read more