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

Related questions
See all questions in Properties of Rational Numbers
Impact of this question
5811 views around the world
You can reuse this answer
Creative Commons License