The Commutative, Associative and Distributive Laws (or Properties)
The Commutative Laws (or the Commutative Properties)
The Commutative Law of Addition:
The Commutative Law of Multiplication:
The Associative Laws (or the Associative Properties)
The associative laws state the when you add or multiply any three real numbers, the grouping (or association) of the numbers does not affect the result.
The Associative Law of Addition:
The Associative Law of Multiplication:
The Distributive Law
Let's see what happens if we do :
This follows PEMDAS (the order of operations ).
But . . . , too, as seen in this picture:
|This is either a rectangle of dots, or a rectangle next to a .|
Let's write this as
We say we "distribute" the to the terms inside.
This translates to the general case: