Algebra 2Section 2:

Properties of Real Numbers

Identity Properties

• What does the word identity mean?

• Additive Identity Property:

• Multiplicative Identity Property:

Inverse Properties

• What does the word inverse mean?

• Additive Inverse:

• Multiplicative Inverse:

Example 1: Find the additive and multiplicative inverse of each number.

A) 12 B)

−94

Closure Property

• Real + Real = _________

• Real * Real = _________

Commutative Property

Associative Property

Distributive Property

Example 2: Identify the property demonstrated by each equation.

a) b) 2 • 3.9 =3.9 • 2 3(2 8) =(3• 2) 8

Example 3: Use mental math to find a 15% tip on a bill of $18.52.

Example 4: Use mental math to find 5% tax on a $42.40 purchase.

Example 5: Classify each statement as sometimes, always, or never true. Give examples

of properties to support your answers.

A) B) 3(a+1) = 3a + 3 a • b=a when b=3

Assignment #2

• Page 17 #’s 15-31,(64)