Practice 1.2 Answers

1. 52 2. 2 3. 38 4. 16 5. 18.96. 87 7. 25 8. 7 9. 2 10. 111. 9 12. 5 13. 26 14. 29 15. 8816. 85 17. 12 18. 5 19. 26 20. 5521. 72 22. 60 23. 2 23. 13124. 33.95 25. 63.34 26. 2427. 2.25 28. 0 29. 99 30. 6

(A.4) Section 1.3 Rational Numbers & the Number Line

Objectives Identify coordinates on a Number Line Graph numbers on a number line. Find absolute values of rational

numbers. Evaluate Expressions with Absolute

Value

Real Number System ( )

Rational Numbers (Q) Irrational Numbers

(I)

Integers ( )

Whole Numbers (W)

Natural Numbers ( )

Real Numbers

Irrational #’sRational #’s

Integers

Whole #’s

Natural #’s

Rational Number Practice

1. Name the set(s) of numbers to which each given number belongs.

a) -13 d) ⅝b) e) 0c) 42 f) 0.3

10

Determine whether each statement is true or false, if false give a counterexample.

2. No fractions are whole numbers.

3. All whole numbers are real numbers.

Ex.4 Graph

Ex. 5 Graph {integers less than -3 or greater than or equal to 5}

Ex. 6 Graph {integers greater than -3 and less than or equal to 5}

16, 2 , 1.6 , 0.75, 2

3

Absolute Value

The absolute value of any number x is is the distance the number is from 0. Symbol for Absolute Value is |Bars|. For simplifying treat Absolute Value Bars like

parenthesis. Do what is inside first.

Examples |-4| = or |4| =

Ex. 7

a) 15 – |8 + 4| b) |–10| – 6 + 4

Ex. 8

a)

b) 15 5 , if 3x x

48 5 , 12x if x

Order

9. Write in order from least to greatest.a) -7 , 4 , 0 , 12 , -12b) -¼ , -¾ , -½ , ⅝ ,-⅝

10. Compare the following

a b c. . . . 18 161

4

1

4

1

30 3333