Properties of Real Numbers Objective: Review Properties of Real Numbers.

Bounded Intervals on the Real Number Line Notation Interval Type Inequality Graph [a, b] Closed a < x < b (a, b) Open a < x < b [a, b) a < x < b (a, b] a < x < b

Unbounded Intervals on the Real Number Line Notation Interval Type Inequality Graph x > a Open x > a x < b Open x < b Entire real line

Definition of Absolute Value The absolute value of a number is its magnitude, or its distance from zero. Distance is always positive, so absolute value is always positive.

Definition of Absolute Value The absolute value of a number is its magnitude, or its distance from zero. Distance is always positive, so absolute value is always positive. If a is a real number, then the absolute value of a is if a > 0 if a < 0

Properties of Absolute Value 1)|a| > 0 2)|-a| = |a| 3)|ab| = |a||b| 4) =

Distance Between Two Points on the Real Number Line Let a and b be real numbers. The distance between a and b is: d(a, b) = |b – a| = |a – b|

Read Review all of the rules of algebra on Pages 6-8. You are responsible for knowing all of these.

Homework Pages odd 79, 81, 83