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Associative, Distributive and Commutative Properties

All together on 1 page!

To learn more about any of the properties below, visit that property's individual page.

Properties and Operations

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

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)

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