Another type of mathematical identity, called a "property" or a "law,"
describes how differing variables relate to each other in a system of numbers.
One of these properties is known as the *commutative property*, and it
applies equally to addition and multiplication. In essence, the commutative
property tells us we can reverse the order of variables that are either added
together or multiplied together without changing the truth of the expression:

Along with the commutative properties of addition and multiplication, we have
the *associative property*, again applying equally well to addition and
multiplication. This property tells us we can associate groups of added or
multiplied variables together with parentheses without altering the truth of the
equations.

Lastly, we have the *distributive property*, illustrating how to expand
a Boolean expression formed by the product of a sum, and in reverse shows us how
terms may be factored out of Boolean sums-of-products:

To summarize, here are the three basic properties: commutative, associative,
and distributive.