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Property
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Example
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| 1.
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Commutative Property of Addition
a + b = b + a
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2 + 3 = 3 + 2 |
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2.
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Commutative Property of Multiplication
a • b = b • a
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2
• ( 3 ) = 3 • ( 2 )
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|
3.
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Associative Property of Addition
a + ( b + c ) = ( a + b ) + c
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2 + ( 3 + 4 ) = ( 2 + 3 ) + 4
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4.
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Associative Property of Multiplication
a • ( b • c ) = ( a • b ) • c
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2
• ( 3 • 4 ) = ( 2 • 3 ) • 4
|
|
5.
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Distributive Property
a • ( b + c ) = a • b + a • c |
2
• ( 3 + 4 ) = 2 • 3 + 2 • 4 |
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6.
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Additive Identity Property
a + 0 = a |
3 + 0 = 3
|
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7.
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Multiplicative Identity Property
a • 1 = a
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3
• 1 = 3
|
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8.
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Additive Inverse Property
a + ( -a ) = 0
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3 + (-3) = 0
|
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9.
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Multiplicative Inverse Property
Note: a can not = 0 |
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