## Commutative and Associative Properties

## Example of Commutative and Associative Properties

### Example 1

This is commutative property because if you add two real numbers in any order, the sum will always be the same or equal.

### Example 2

This is associative property because if you are adding three real numbers, the sum is always the same regardless of their grouping.

## Identity Properties of Addition and Multiplication

## Example of Identity Properties of Addition and Multiplication

### Example 1

This is Identity Property of Addition because if you add a real number to zero, the sum will be the original number itself.

### Example 2

This is Identity Property of Multiplication because if you multiply a real number to one (1), you will get the original number itself.

## Zero Property of Multiplication

## Example of Zero Property of Multiplication

### Example 1

If you multiply any real number to zero, the answer will be always zero.

### Example 2

If you multiply any real number to zero, the answer will be always zero.

## Multiplication Property of -1

## Example of Multiplication Property of -1

### Example 1

### Example 2

After you finish this lesson, view all of our Algebra 1 lessons and practice problems.