Properties of real numbers

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11 Terms

1
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Commutative Property of Addition

x + y = y + x

2
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Associative Property of Addition

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

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

3
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Additive Identity Property

x + 0 = x ;

0 + x = x

4
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Additive Inverse Property

x + ( - x ) = 0 ;

- x + x = 0

5
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Distributive Property

x· ( y + z ) = x · y + x · z and ( x + y ) · z = x · 2 + y · z

6
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Multiplication Property of Zero

x · 0 = 0 and 0 · x =0

7
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Commutative property of Multiplication

x · y = y · x

8
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Associative Property of Multiplication

( x · y ) · z = x · ( y · z ) ;

x · ( y · z ) = ( x · y ) · z

9
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Multiplicative Identity Property

x · 1 = x ;

1 · x = x

10
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Multiplicative Inverse Property

x · 1/x = 1 and 1/x · x = 1

11
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