Objective- To justify the step in solving a math problem using the correct property Distributive Property a(b + c) = ab + ac or a(b - c) = ab - ac Order of OperationsDistributive Property 6(3 + 5) 6(8) 48 6(3) + 6(5) Why distribute when order of operations is faster ?

Commutative Property Commutative means that the order does not make any difference. a + b = b + aa b = b a Examples = = 3 2 The commutative property does not work for subtraction or division.

Associative Property Associative means that the grouping does not make any difference. (a + b) + c = a + (b + c) (ab) c = a (bc) Examples (1 + 2) + 3 = 1 + (2 + 3) (2 3) 4 = 2 (3 4) The associative property does not work for subtraction or division.

Name the property 1) 5a + (6 + 2a) = 5a + (2a + 6) commutative (switching order) 2) 5a + (2a + 6) = (5a + 2a) + 6 associative (switching groups) 3) 2(3 + a) = 6 + 2a distributive

Which property would justify rewriting the following expression without parentheses? 3(2x + 5y) 1.Associative property of multiplication 2.Distributive property 3.Addition property of zero 4.Commutative property of multiplication

Which property would justify the following statement? 8x + 4 = 4 + 8x 1.Associative property of addition 2.Distributive property 3.Addition property of zero 4.Commutative property of addition

Which property would justify the following statement? 8 + (2 + 6) = (8 + 2) Associative property of addition 2.Distributive property 3.Addition property of zero 4.Commutative property of addition