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

1 Answer
georgef
Nov 6, 2016

Commutative Law: #x+y=y+x#
Associative Law: #(x+y)+z=x(y+z)#

Explanation:

The expression given #(p+q)+60# is equivalent to:

  1. #(q+p)+60#, using #(p+q)=(q+p)# by Commutative Law

  2. #p+(q+60)# using the Associative Law

  3. #p+(60+q)# using the Associative and Commutative Laws

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