Key Concepts

Key Concepts

  • Commutative Properties
    • Commutative Property of Addition:
      • If \(a,b\) are real numbers, then \(a+b=b+a\)
    • Commutative Property of Multiplication:
      • If \(a,b\) are real numbers, then \(a\cdot b=b\cdot a\)
  • Associative Properties
    • Associative Property of Addition:
      • If \(a,b,c\) are real numbers then \(\left(a+b\right)+c=a+\left(b+c\right)\)
    • Associative Property of Multiplication:
      • If \(a,b,c\) are real numbers then \(\left(a\cdot b\right)\cdot c=a\cdot \left(b\cdot c\right)\)

This lesson is part of:

Properties of Real Numbers

View Full Tutorial

Track Your Learning Progress

Sign in to unlock unlimited practice exams, tutorial practice quizzes, personalized weak area practice, AI study assistance with Lexi, and detailed performance analytics.