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Algebra 1
Properties of operation
| Term | Definition |
|---|---|
| Communicative property of addition | The order in which you add numbers can be changed without changing the sum. Example: a+b=b+a or 5+ 14 = 14+5 |
| Commutative Property of Multiplication | The order in which you multiply numbers can be changed and the product will not be changed. Example: ah=ha |
| Associative Property of Addition | Changing the grouping of the addends will not change the sum. Example; a + (b + c ) = (a + b)+c |
| Associative property of multiplication | Changing the grouping of factors will not change the product. Example: a ∙ (b ∙ c ) = (a ∙ b ) ∙ c |
| Distributive property | Multiplying a sum by a number is equal to the sum of the number multiplied by each of the addends. Example: a (b + c ) = a (b ) + a (c) |
| Identity Property of Addition | Adding zero to any number does not change the number. Example: a+0 = a |
| Identity Property of Multiplication | Multiplying any number by 1 does not change the number. Example: a ∙ 1 = a |
| Inverse Property of Addition | If you add a number and its opposite, the answer will always be zero. Example: a+ (-a) =0 |
| Inverse property of multiplication | If you multiply any number by its multiplicative inverse (reciprocal) the answer is always 1. |
| Property of equality | what you do to one side of an equation, you must do to the other side. Example: 3x+5=20 |
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