Simply Expressions Using Properties of Real Numbers

5+1 = 1+5

• Commutative Property of Addition

• Associative Property of Addition

• Inverse Property of Addition

• Distributive Property

(5•2) • 4 = 5 • (2•4)

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Transitive Property

• Symmetric Property

9 + 0 = 9

• Reflexive Property

• Distributive Property

• Identity Property of Addition

• Inverse Property of Addition

-3(a+c) = -3a-3c

• Transitive Property

• Distributive Property

• Symmetric Property

• Commutative Property of Multiplication

If x+y = 4 and 4 = 3+1, then x+y = 3+1

• Transitive Property

• Reflexive Property

• Symmetric Property

• Substitution Property

a² + (b² + c²) = (a² + b²) + c²

• Commutative Property of Addition

• Zero Property

• Associative Property of Addition

• Identity Property of Addition

-x + x = 0

• Additive Inverse Property

• Identity Property of Addition

• Commutative Property of Multiplication

• Associative Property of Addition

(x + y) • 0 = 0

• Substitution Property

• Distributive Property

• Zero Property

• Inverse Property of Multiplication

3m(m + 4n - 6g) = 3m² + 12mn - 18mg

• Transitive Property

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Distributive Property

xyz • 1/xyz = 1

• Inverse Property of Addition

• Identity Property of Multiplication

• Zero Property

• Multiplicative Inverse Property