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math properties
| Term | Definition |
|---|---|
| commutative | the order in which numbers are added or multiplied does not change the answer |
| associative | the way in which numbers are grouped when added or multiplied does not change the answer |
| Identity property of addition | the sum of an addend and 0 is the same as the addend |
| identity property of multiplication | the product of any factor and 1 is the same as the factor |
| additive inverse property | adding a number and its opposite will produce a sum of 0 |
| multiplicative inverse property | multiplying any number and its inverse reciprocal equals 1 |
| factor | a number that when multiplied by another produces a given number (the product) |
| Associative Property | (x + 7) + 9 = x + (7 + 9) |
| Commutative Property | (x + 7) + 9 = 9 + (7 + x) |
| Identity Property of Addition | x + 0 = x |
| Identity Property of Multiplication | 6(1) = 6 |
| Multiplicative Inverse Property | 4 x ¼ = 1 |
| Additive Inverse Property | -5 + 5 = 0 |
| Distributive Property 4(x + 3) = 4x + 12 | 4(x + 3) = 4x + 12 |