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Commutative Property
The two types of the Commutative Property are the Commutative Property of Multiplication and the Commutative Property of Addition.
Official Book Definition: The Commutative Property of Addition claims addends can be added in any order and the sum will be the same. The Commutative Property of Multiplication says that factors can be multiplied in any order and the product will be the same.
Examples

Personal Definitions:
Ayra's:The Commutative Property is when you are able to switch the numbers of the problem in different areas but get the same answer.
Carleigh's: The Commutative Property is when you flip the addends or factors and still get the same answer.
How to Remember:
One way to remember is think of it as the flip flop rule because you are flipping the numbers. Also, you can remember that commutative means to switch or move around so just think you are moving around the numbers.