Mathematics » Properties of Real Numbers » Commutative and Associative Properties

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 \(\left(a\cdot b\right)\cdot c=a\cdot \left(b\cdot c\right)\)

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