Commutative and Associative Properties
Read this section on the communitive and associative properties. Complete the practice questions and check your answers.
Simplify Expressions Using the Commutative and Associative Properties
When we have to simplify algebraic expressions, we can often make the work easier by applying the Commutative or Associative Property first instead of automatically following the order of operations. Notice that in Example 7.8 part ⓑ was easier to simplify than part ⓐ because the opposites were next to each other and their sum is 0.0. Likewise, part ⓑ in Example 7.9 was easier, with the reciprocals grouped together, because their product is 1.1. In the next few examples, we'll use our number sense to look for ways to apply these properties to make our work easier.
Source: Rice University, https://openstax.org/books/prealgebra/pages/7-2-commutative-and-associative-properties
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