GOAL 1 GRAPHING REAL NUMBERS

VOCABULARY

•real numbers; real number line

•origin, negative numbers, positive numbers

•integers

•graph, plotting

2.1 The Real Number Line

… -3, -2, -1, 0, 1, 2, 3, …

EXAMPLE 1 EXAMPLE 2

Extra Example 1

Graph the numbers and 2.7.3

14

First, draw a number line which will include both numbers.

-3 -2 -1 0 1 2 3

Second, plot the points in the appropriate places.

31

4 2.7

Extra Example 2

Write two inequalities that compare 1 3

and .2 2

Extra Example 3Write the following numbers in increasing order:

11.5, , 3, 2.5, 0, 1

3

Extra Example 4The table shows the balance of a checking account that

has overdraft protection each day for four days in August.

a. Which balance was the lowest?

b. Which dates had a balance above –$10?

Checkpoint1. Write the numbers in increasing order.

5, 4, 0, 0.5, 3

2

2. Write two inequalities to compare the two least numbers.

GOAL 2 FINDING OPPOSITES AND ABSOLUTE VALUES

VOCABULARY

•opposites

•absolute value

•velocity

•counterexample

2.1 The Real Number Line

Extra Example 6Evaluate the expression.

1a.

2 b. 1.6 c. 3

Checkpoint1. Find the opposite of the number: a. 0 b. 1.2

2. Evaluate the expression. a. 0.93

b. 2

QUESTIONS?