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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

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