## Example of Commutative and Associative Properties

### Example 1

$3 + 4 = 4 + 3$ $7=7$

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

$(1 + 2) + 3 = 1 + (2 + 3)$ $6=6$

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

## Example of Identity Properties of Addition and Multiplication

### Example 1

$12,753+0=12,753$
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

$62,385 \times 1 =62,385$
This is Identity Property of Multiplication because if you multiply a real number to one (1), you will get the original number itself.

## Example of Zero Property of Multiplication

### Example 1

$1,845 \times 0=0$

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

### Example 2

$5,825 \times 0=0$

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

## Example of Multiplication Property of -1

### Example 1

$548,756 \times -1=-548,756$

### Example 2

$1,653 \times -1=-1,653$

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