Basic Laws and Terms


Vedic mathematics has its own peculiar set of mathematical terms and ideas in addition to using standard/conventional maths laws. The basic terms and laws are given below.

Ekadhika

Ekadhika means "one more"

eg(1) Ekadhika of 5 is 5 + 1 = 6

eg(2) Ekadhika of 42 is 42 + 1 = 43

eg(3) Ekadhika of 134 is 134 + 1 = 135

Ekanyuna

Ekanyuna means "one less"

eg(1) Ekanyuna of 8 is 8 - 1 = 7

eg(2) Ekanyuna of 15 is 15 - 1 = 14

eg(3) Ekanyuna of 206 is 206 - 1 = 205

Purak

Purak means "complement"

For example, we know that 2 + 8 is 10.

So we can say, 2 and 8 are complements or puraks of each other from 10.

Or, take another example, we know that 4 + 5 is 9.

So we say, 4 and 5 are complements or puraks of each other from 9.

We very often come across the puraks of 10 and 9 in Vedic Mathematics

Rekhank

Rekhank means a negative (-ve) digit (written with a bar on top)

For example negative 6 (or minus 6) is written 6 and is called rekhank 6 (or bar six)

Negative 8 (minus 8) is written 8 and is called rekhank 8 (or bar eight)

Negative 7 (minus 7) is written 7 and is called rekhank 7 (or bar seven) and so on........

Addition (part I)

Addition of two positive (+ve) digits OR Addition of two negative (-ve) digits

Addition of two positive (+ve) digits (standard conventional mathematical rules apply)

eg(1) 4 + 5 = +9

eg(2) 7 + 6 = +13

Addition of two negative (-ve) digits (standard conventional mathematical rules apply)

eg(1) (-3) + (-5) = 3+ 5 = 8 = - 8

eg(2) (-7) + (-9) = 7+ 9 = 16 = -16

Addition (part II)

Addition of one positive(+ve) digit and one negative(-ve) digit

Addition of one positive (+ve) digit and one negative digit (-ve) (standard conventional mathematical rules apply)

eg(1) 4 + 3 = 4 - 3 = 1

eg(2) 5 + 3 = - 5 + 3 = - 2 or 2

Subtraction (part I)

Subtraction of a rekhank (-ve) from a positive(+ve) digit

Subtraction of a rekhank from a positive digit (+ve)

eg(1) 5 - 3 = 5 - ( - 3) = 5 + 3 = 8

eg(2) 2 - 7 = 2 - (- 7) = 2 + 7 = 9

Subtraction (part II)

Subtraction of a positive(+ve) digit from a rekhank(-ve)

Subtraction of a positive (+ve) digit from a rekhank:

eg(1) 3 - 8 = 3 + 8 = 11 or -11

eg(2) 2 - 7 = 2 + 7 = 9 or -9

Multiplication (part I)

The product of two positive(+ve) digits OR two negative(-ve) digits(rekhanks)........always positive result

The product of two positive (+ve) digits OR two negative (-ve) digits (rekhanks) is always positive

eg(1) 3 x 7 = 21................................ eg(2) 6 x 4 = 24

eg(3) 8 x 7 = 56............................eg(4) 3 x 9 = 27

Multiplication (part II)

The product of one positive(+ve) digit and one rekhank(-ve)

The product of one positive (+ve) digit and one negative (-ve) digit (rekhank) is always negative

eg(1) 5 x 5 = - 25 or 25................................ eg(2) 2 x 4 = 8

Division (Part I)

The division of two positive(+ve) digits OR two negative(-ve) digits(rekhanks)........always positive result

The division of two positive (+ve) digits OR two negative (-ve) digits (rekhanks) is always positive

eg(1) 8 ÷ 2 = 4................................ eg(2) 6 ÷ 3 = 2

eg(3) 8 ÷ 4 = 2................................eg(4) 9÷3= 3

Division (Part II)

The division of one positive(+ve) digit by one rekhank(-ve) OR vice versa........always negative(-ve) result

eg(1) 8 ÷ 2 = 4................................ eg(2) 6 ÷ 3 = 2

eg(3) 8 ÷ 4 = 2.................................eg(4) 9 ÷ 3 = 3