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Mathematical Properties Commutative Property - addition or multiplication - change the order of the numbers, answer stays they same - “numbers move (or commute)” - Examples: 3 + 4 = 4 + 3 or 3x4=4x3 Associative Property - addition or multiplication - change the groups (parentheses), answer stays the same - Examples: 5 + (6 + 7) = (5 + 6) + 7 or 1 x (2 x 3) = (1 x 2) x 3 Distributive Property - multiplication with addition or subtraction - “pass out” a factor to other numbers, get the same answer - Examples: 6 x (7 + 2) = (6 x 7) + (6 x 2) or 8 x (5 - 3) = (8 x 5) - (8 - 3) Zero Property of Multiplication - anything times zero equals zero!! - Examples: 4 x 0 = 0 or 0 x 12 = 0 Inverse Property - addition: add a number plus its negative and you get 0 - multiplication: multiply a number by its reciprocal (opposite) and you get 1 - Examples: 6 + (-6) = 0 and 2 x 1/2 = 1 Identity Property - addition: any number will stay the same when added to 0 - multiplication: any number will stay the same when multiplied by 1 - Examples: 9 + 0 = 9 and 13 x 1 = 13