Summary: Using the Commutative and Associative Properties

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

Licenses & Attributions