﻿ Associative, Distributive and Commutative Properties -Practice using these properties
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# Associative, Distributive and Commutative Properties

All together on 1 page!

### Properties and Operations

Let's look at how (and if) these properties work with addition, multiplication, subtraction and division.

#### Subtraction

Property Example with Subtraction
Distributive Property
Associative
Commutative
Summary: The distributive property is the only one that applies to subtraction.

#### Division

Property Example with Subtraction
Distributive Property
Associative
Commutative
Summary: The distributive property does not apply to any of these 4 properties.

### Practice Problems

Which of the following statements illustrate the distributive, associate and the commutative property?

Directions: Click on each answer button to see what property goes with the statement on the left.

Statement Property
7 + 2 = 2 + 7
6 + (2 + 11) = (6 + 2) + 11
5 (2 + 4) = 5 • 2 + 5 • 4
(12 • 44) • 13 • 5 = 12 • 44 • (13 • 5)
5 • 3 • 11 = 11 • 5 • 3
6 (3 + 11 + 4) = 6 • 3 + 6 • 11 + 6 • 4

All three of these properties can also be applied to Algebraic Expressions.

Which of the following statements illustrate the distributive, associate and the commutative property?

Directions: Click on each answer button to see what property goes with the statement on the left.

Statement Property
a + c = c + a
a (x + y + z) = a • x + a • y + a • z
(a • y) • x • z = a • y • (x • z)