The properties of real numbers
Commutative Property of addition
x + y = y + x
Associative Property of Addition
( x + y ) + z = x + ( y + z )
Additive Identity Property
x + 0 = 0 + x = x
Additive Inverse Property
x + ( -x ) = -x + x = 0
Distributive Property
x ( y + z ) = x y + x z
( x + y ) z = x z + y z
Commutative Property of Multiplication
x y = y x
Associative Property of Multiplication
( x y ) z = x ( y z )
Multiplicative Identity Property
x 1 = 1 x = x
Multiplicative Inverse Property
x 1/x = 1/x x = 1, when x does not equal 0
Multiplication Property of Zero
0 x = x 0 = 0
Properties of Real Numbers:
[1] Commutative Property of Addition
[2] Associative Property of Addition
[3] Additive Identity Property
[4] Additive Inverse Property
[5] Distributive Property
[6] Commutative Property of Multiplication
[7] Associative Property of Multiplication
[8] Multiplicative Identity Property
[9] Multiplicative Inverse Property
[10] Multiplication Property of Zero