REAL NUMBERS

End of Unit 2 Review

Try this!

• a) Irrational

• b) Irrational

• c) Rational

• d) Rational

• e) Irrational66 e)

d)

25 c)

12 b)

2 a)

115

Additional Example 1: Classifying Real Numbers

Write all classifications that apply to each number.

5 is a whole number that is not a perfect square.

5

irrational, real

–12.75 is a terminating decimal.–12.75rational, real

16 2

whole, integer, rational, real

= = 24 2

16 2

A.

B.

C.

A fraction with a denominator of 0 is undefined because you cannot divide by zero. So it is not a number at all.

State if each number is rational, irrational, or not a real number.

21

irrational

0 3

rational

0 3

= 0

Additional Example 2: Determining the Classification of All Numbers

A.

B.

not a real number

Additional Example 2: Determining the Classification of All Numbers

4 0C.

State if each number is rational, irrational, or not a real number.

Do Now

• List 3 different Rational Numbers. The numbers must be greater than 1 and less than 2.

• List 3 different Irrational Numbers. The numbers must be greater than 1 and less then 2.

Comparing Rational and Irrational Numbers

• When comparing different forms of rational and irrational numbers, convert the numbers to the same form.

Compare -3 and -3.571 (convert -3 to -3.428571…

-3.428571… > -3.571

37

37

Practice

Ordering Rational and Irrational Numbers

• To order rational and irrational numbers, convert all of the numbers to the same form.

• You can also find the approximate locations of rational and irrational numbers on a number line.

Example• Order these numbers from least to

greatest. ¹/₄, 75%, .04, 10%, ⁹/₇

¹/₄ becomes 0.2575% becomes 0.750.04 stays 0.0410% becomes 0.10

⁹/₇ becomes 1.2857142…

Answer: 0.04, 10%, ¹/₄, 75%, ⁹/₇

Practice

Order these from least to greatest:

Study

• How to estimate square roots• Your list of Perfect Squares &

Cubes• Comparing Numbers• What are number sets?• What are Real Numbers?