# Associative Property

Last Updated on February 15, 2024.

The associative property is stating that when we add or multiply a series of numbers, it actually doesn’t matter how these terms are ordered.

## Online GED Classes

### Get a GED Diploma quickly. It doesn’t matter when you left school.

##### Easy Lessons | Practice Tests | Add-ons

Keep in mind that the first step when we use the order of operations is to simplify within the parentheses.

1. Identify the associative property from the choices below.
A.
B.
C.
D.

Question 1 of 2

2. Identify the associative property from the choices below.
A.
B.
C.
D.

Question 2 of 2

This lesson is provided by Onsego GED Prep.

Next lesson: Distributive Property
This lesson is a part of our GED Math Study Guide.

### Video Transcription

The associative property of addition is stating that numbers in any addition may be grouped in any different way without changing their sum.

Below you can see two different ways of simplifying the same addition. In our first example, 4 (four) is grouped with 5 (five), and 4 and 5 = 9.

4 + 5 + 6 = 9 + 6 = 15

### Fast & Easy Online GED Course

Get Your Diploma in 2 Months
It doesn’t matter when you left school

Then, the same problem has been worked by grouping first 5 and 6, and 5 + 6 = 11.

4 + 5 + 6 = 4 + 11 = 15

In both ways, we come up with the same sum. This illustrating that when we’re adding and change the grouping of numbers, we’ll end up with the same sum.

Mathematicians are often using parentheses for the indication of which operation should come first in algebraic equations. Look at the rewritten addition problems listed above. This time, we’ve used parentheses to indicate associative grouping:

(4 + 5) + 6 = 9 + 6 = 15

4 + (5 + 6) = 4 + 11 = 15

Obviously, the parentheses are not affecting the sum. Our sum will be the same regardless of where we place the parentheses.