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math properties
8th grade properties
Question | Examples |
---|---|
Associative Property | a + (b+c) = (a+b) + c and a(bc) = (ab)c Addition: (3+2) + 1 = 3 + (2+1) Multiplication: (4x5) x 9 = 4 x (5x9) Subtraction: not associative Division: not associative |
Commutative Property | a + b = b + a and a x b = b x a Addition: 2 + 1 = 1 + 2 Multiplication: 5 x 9 = 9 x 5 Subtraction: not commutative Division: not commutative |
Inverse Property | a + -a = 0 and -a + a = 0 a x 1/a = 1 and 1/a x a = 1 Addition: 4 + (-4) = 0 Multiplication: 3/ x 1/3 = 1 |
Identity Property | a + 0 = a and 0 + a = a a x 1 = a and 1 x a = a Addition: 5 + 0 = 5 Multiplication: 9 x 1 = 9 |
Distributive Property | a(b+c) = ab + ac and (b+c)a = ba 3(2+1) = (3x2) + (3x1) (5+7)6 = (5x6) + (7x6) |