Properties of Real Numbers

Associative Property of Addition

(a+b)+c = a+(b+c) (1+2)+3 = 1+(2+3)

Associative Property of Multiplication

(axb)xc = ax(bxc) (1x2)x3 = 1x(2x3)

Inverse Property of Multiplication

Want to Get "ONE" (Not "0") bx1/b = 1 2x1/2 = 1

Inverse Property of Addition

Want to Get "ZERO" a+(-a) = 0 1+(-1) = 0

Reflexive Property of Equality

a = a 1 = 1

Distributive Property

a(b+c) = ab + ac AND (b+c)a = ab +ac 1(2+3) = 1x2 + 1x3 AND (2+3)1 = 1x2 + 1x3

Identity Property of Addition

a+0 = a AND 0+a = a 1+0 = 1 AND 0+1 = 1

Commutative Property of Addition

a+b = b+a 1+2 = 2+1

Transitive Property of Equality

IF a = b, AND b = c, THEN c = a IF 1 = 1,AND 1 = 1,THEN 1 = 1

Symmetric Property of Equality

IF a = b, THEN b = a IF 1 = 2, THEN 2 = 1

Identity Property of Multiplication

ax1 = a AND 1xa = a 1x1 = 1 AND 1x1 = 1

Commutative Property of Multiplication

axb = bxa 1x2 = 2x1