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 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 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
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
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 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 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 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 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
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
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
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
eg(1) 8 ÷ 2 = 4................................ eg(2) 6 ÷ 3 = 2
eg(3) 8 ÷ 4 = 2.................................eg(4) 9 ÷ 3 = 3