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