Classify numbers

EXAMPLE 3

Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number: , , – . 24 81 100

NoNoYesNoYes

NoYesNoYesYes

Yes

Real Number?

YesYesNoYes

Whole Number?Integer?

Irrational Number?

Rational Number?

Number

24

100

– 81

Graph and order real numbers

EXAMPLE 4

,Order the numbers from least to greatest: 4 3

,, – 5 13–2.5 , 9 .

SOLUTION

Begin by graphing the numbers on a number line.

4

3

ANSWER

Read the numbers from left to right:

–2.5, – 5 9 13 . , , ,

Graph and order real numbers

EXAMPLE 4

Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number: , 5.2, 0, , 4.1,

Then order the numbers from least to greatest.

9.

792

– – 20

GUIDED PRACTICE for Examples 3 and 4

9 2

– , 7, , ,– 20 0, 4.1 5.2.

ANSWER

Graph and order real numbersEXAMPLE 4GUIDED PRACTICE for Examples 3 and 4

NoNoYesNoYes

YesYesNoYesYes

Yes

Real Number?

NoNoNoYes

Whole Number?Integer?

Irrational Number?

Rational Number?

Number

20

7

9 2

4.1

0

NoNoYesNoYes

NoNoNoYesYes

–

–

5.2 NoNoNoYesYes