1. Properties in Math

2. Math 6 Properties!
Associative Property
Commutative Property
Changing the order of the values you are adding or multiplying does not change the sum or product
6+4= ∙ 3 = 3 ∙ 2
a + b = b + a a ∙b = b ∙ a
Changing the grouping of the values you are adding or multiplying does not change the sum of the product
(2+7)+3=2+(7+3) (2∙4)∙5=2(4∙5)
(a+b)+c=a+(b+c) (ab)c=a(bc)
Identity Property
The sum of any number and zero is the original number(additive identity). The product of any number and 1 is the original number(multiplicative Identity)
Distributive Property
Substitution Property
The distributive property of multiplication over addition and subtraction help to evaluate expressions that have a number multiplying a sum or a difference.
9(4+5)=9(4)+9(5) 5(8-2)=5(8)-5(2)
A(b+c)=ab + ac a(b-c)= ab-ac
(you get the same answer when you multiply a number by a group of numbers added together or subtracted as when you do each multiplication separately)