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Algebra : Properties of Real (ℝ) Numbers

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Commutative

Configurable order of numbers:

x+y = y+x
xy  = yx

Associative

Order that multiplication is applied :

(x+y)+z =x+(y+z)
(xy)z     = x(yz)

Identity

x+0 = x
0+x = x
x.1  = x
1.x  = x

Distributive

(x + y)z = xz+xy

Inverse

 x+(-x) = 0
-x + x  = 0

1/x . x = 1
x . 1/x  =1

Multiplication Property of Zero

x.0 = 0
0.x = 0

Wikipedia Real Numbers

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