# The Commutative Laws (or Properties) of Addition and Multiplication

## The Commutative Laws (or the Commutative Properties)

The commutative laws state that the order in which you add or multiply two real numbers does not affect the result.

$a+b=b+a$

Example 1:

$\begin{array}{l}3+5=5+3=8\\ 20+\left(-3\right)=\left(-3\right)+20=17\end{array}$

The Commutative Law of Multiplication:

$ab=ba$

Example 2:

$\begin{array}{l}4\cdot 5=5\cdot 4=20\\ \left(-2\right)\left(8\right)=\left(8\right)\left(-2\right)=-16\end{array}$