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# Math Properties

TermDefinitionExample
Associative Grouping can change (a + b) + c = a + (b + c) (ab) c = a (bc)
Additive Identity Number/ variable + number = itself a + 0 = a 7 + 0 = 7
Multiplicative Identity Number/ variable x number = itself b x 1 = b 9 x 1 = 9
Additive Inverse Number/ variable + opposite of the Number/ variable = 0 a + -a = 0 10 + -10 = 0 37 + -37 = 0 -17 + 17 = 0 ⅔ + -⅔ = 0
Multiplicative Inverse Number/ variable x 1 over the number/ variable = 1 b x 1/b = 1 2 x ½ = 1 3 x ⅓ = 1 27 x 1/27= 1 -5 x -⅕ = 1 ¾ x 4/3= 1
Multiplication Property of Zero Number/ variable0 = 0 (Any number times zero = zero a x 0 = 0 5 x 0 = 0 -5 x 0 = 0 ⅔ x 0 = 0
The Distributive Property Multiply a sum by multiplying multiple numbers separately then adding the products together a(b + c) = a(b) + a(c)
Commutative Order can change a + b = b + a
Created by: jdg33