VEDIC MATHS-110

 

VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friends,

                      This is  post number 110 from the series of "Vedic maths" blogs. Here in this blog we will learn about "Applications of the Sutras & Sub-sutras - 10"

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.

3. Yavadunam Tavadunikrtya Varganca Yojayet ( Whatever the deficiency subtract that deficit and write alongside the square of )

To find squares of numbers close to base 10, we subtract the number from base 10 and take a square of the result. Then we subtract the result from the number and cross the results.

Example:

i. Square of 8
10 - 8 = 2, square of 2 is 4
  8 - 2 = 6

Thus, Square of 8 = 64.

ii. Square of 6

10 – 6 = 4, square of 4 is 16
  6 – 4 = 2
Thus, Square of 6 = 2(1)6 = 36.

( For  more information refer -: VEDIC MATHS-36 )

4. Antyayor Desakepi

This is the multiplication of two numbers in the same structure of numbers to make their sum being the multiple of 10. For example: 43 x 47, 116 x 114, 1125 x 1125, etc.

For this you apply ekadhikena for the first digits of left hand side leaving the last digit and multiply with the first number of right hand side. The you multiply the last digit of the left hand side with the last digit of right hand side. Practically explained as below.

i. 43 x 47 

= (4+1) x 4 | 3 x 7

= 5 x 4 | 21

= 20 | 21

= 2021

ii. 116 x 114 

= (11 + 1) x 11 | 6 x 4

= 132 | 24

= 13224

iii. 1125 x 1125 

= 113 x 112 | 5 x 5

= 12656 | 25

= 1265625

( For  more information refer -: VEDIC MATHS-11 )

In next blog we will discuss about "Applications of the Sutras & Sub-sutras - 11".     

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