


Distributive Property 
Associative Property

Commutative Property

Let's look at how (and if) these properties work with addition, multiplication, subtraction and division
Property 
Example with Addition. 
Distributive Property  
Associative  
Commutative 
Summary: All 3 of these properties apply to addition 
Property 
Example with Multiplication. 
Distributive Property  The distributive propert is an applicaiton of multiplication (so there is nothing to show here) 
Associative  
Commutative 
Summary: All 3 of these properties apply to multiplication 
Property 
Example with Subtraction. 
Distributive Property  
Associative  
Commutative 
Summary: The distributive property is the only one that applies to subtraction. 
Property 
Example with Subtraction. 
Distributive Property  
Associative  
Commutative 
Summary: The distributive property does not apply to any of these 4 properties. 
Directions: Click on each question mark to see what proprety goes with the statement on the left.
Statement  Property 
7 + 2 = 2 + 7  Commutative Property 
6 + (2 +11) = (6 + 2 ) + 11  Associative Property 
5 (2 +4) =5 • 2 + 5 •4  Distributive property 
(12 • 44) • 13 • 5= 12 • 44 • (13 • 5)  Associative Property 
5 • 3 • 11 = 11 • 5 • 3  Commutative Property 
6 (3 +11+4) =6 • 3 + 6 •11+ 6 •4  Distributive property 
Directions: Click on each question mark to see what proprety goes with the statement on the left.
Statement  Property 
a + c = c + a  Commutative Property 
a (x + y + z) =a • x + a •y + a •z  Distributive property 
(a • y) • x • z= a • y • (x • z )  Associative Property 