Real number properties

Math

Definition

The fundamental properties that govern arithmetic operations with real numbers, including commutative, associative, distributive, identity, and inverse properties.

Examples

  • Commutative: 3 + 5 = 5 + 3 and 2 × 7 = 7 × 2
  • Associative: (2 + 3) + 4 = 2 + (3 + 4)
  • Distributive: 3(x + 4) = 3x + 12
Key Fact

Commutative: a+b = b+a; Associative: (a+b)+c = a+(b+c); Distributive: a(b+c) = ab+ac

Related Terms

Distributive property Integer operations Variables and expressions

Study This Concept

Practice real number properties with free review games in these units:

Algebra 1 Unit 1: Foundations of Algebra