Summary: Using the Commutative and Associative Properties
Key Concepts
Commutative Properties
Commutative Property of Addition:
If [latex]a,b[/latex] are real numbers, then [latex]a+b=b+a[/latex]
Commutative Property of Multiplication:
If [latex]a,b[/latex] are real numbers, then [latex]a\cdot b=b\cdot a[/latex]
Associative Properties
Associative Property of Addition:
If [latex]a,b,c[/latex] are real numbers then [latex]\left(a+b\right)+c=a+\left(b+c\right)[/latex]
Associative Property of Multiplication:
If [latex]a,b,c[/latex] are real numbers then [latex]\left(a\cdot b\right)\cdot c=a\cdot \left(b\cdot c\right)[/latex]
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Prealgebra. Provided by: OpenStax. License: CC BY: Attribution. License Terms: Download for free at http://cnx.org/contents/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757