# How do you use the commutative and the associative laws to find three equivalent expressions (p +q) +60?

Nov 6, 2016

Commutative Law: $x + y = y + x$
Associative Law: $\left(x + y\right) + z = x \left(y + z\right)$

#### Explanation:

The expression given $\left(p + q\right) + 60$ is equivalent to:

1. $\left(q + p\right) + 60$, using $\left(p + q\right) = \left(q + p\right)$ by Commutative Law

2. $p + \left(q + 60\right)$ using the Associative Law

3. $p + \left(60 + q\right)$ using the Associative and Commutative Laws