﻿ Associative, Distributive and Commutative Properties -Practice using these properties

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.

Multiplication

Property Example with Multiplication
Distributive Property The distributive property is an application of multiplication (so there is nothing to show here).
Associative
Commutative
Summary: All 3 of these properties apply to multiplication.

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)