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Friday, 5 December 2014

Basic Identities

Suppose P,Q,R are real numbers then

Additive Identity
P + 0 =  P

Additive Inverse
P+ (-P) = 0

Commutative of Addition
P+Q = Q+P

Associative Addition
P + ( Q + R ) = (P + Q) + R  

Subtraction

P - Q  = P +
( - Q )

Multiplication
P x 1 = P
Multiplication Inverse  
P x 1/P = 1  (Where P not equal to 0)

Multiplication with Zero
P x 0 = 0

Commutative of Multiplication
P x Q =  Q x P

Associative of  Multiplication
P x (Q x R)  = (P x Q) x R

Distributive Law
P (Q + R) = PQ + PR

Division Defination
P/Q = P x (1/Q)