The properties of real numbers

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Commutative Property of addition

x + y = y + x

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Associative Property of Addition

( x + y ) + z = x + ( y + z )

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Additive Identity Property

x + 0 = 0 + x = x

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Additive Inverse Property

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

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Distributive Property

x ( y + z ) = x y + x z

( x + y ) z = x z + y z

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Commutative Property of Multiplication

x y = y x

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Associative Property of Multiplication

( x y ) z = x ( y z )

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Multiplicative Identity Property

x ** 1 = 1 ** x = x

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Multiplicative Inverse Property

x ** 1/x = 1/x ** x = 1, when x does not equal 0

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Multiplication Property of Zero

0 ** x = x ** 0 = 0

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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