1. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 1 Real Numbers and Introduction to Algebra

2. 22 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Bellwork

3. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. 1.2 Symbols and Sets of Numbers

4. 44 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Objectives  Identify sets of numbers  Find absolute value of numbers  Translate sentences into mathematical statements

5. 55 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Set of Numbers Natural Numbers: {1, 2, 3, 4, 5, 6...} Whole Numbers: {0, 1, 2, 3, 4...} Integers: {... –3, –2, –1, 0, 1, 2, 3...} Rational Numbers: the set of all numbers that can be expressed as a quotient of integers, with denominator  0. Irrational Numbers: nonrational numbers that correspond to points on a number line. Real Numbers: all numbers that correspond to points on a number line.

6. 66 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Equality and Inequality Symbols SymbolMeaning a = b a  b a < b a > b a  b a  b a is equal to b. a is not equal to b. a is less than b. a is greater than b. a is less then or equal to b. a is greater than or equal to b.

7. 77 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The Number Line A number line is a line on which each point is associated with a number. 2– 201345– 1– 3– 4– 5 Negative numbers Positive numbers – 4.81.5

8. 88 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. For any two real numbers a and b, a is less than b if a is to the left of b on the number line. a < b means a is to the left of b on a number line. a > b means a is to the right of b on a number line. Order Property for Real Numbers ab a

9. 99 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 1 Determine whether each mathematical statement is true. a. 4 < 5 True b. 27 ≥ 27 True c. 0 > 5 False d. 16 ≤ 9 False

10. 10 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 1 Determine whether each mathematical statement is true. a. 4 < 5 True b. 27 ≥ 27 True c. 0 > 5 False d. 16 ≤ 9 False

11. 11 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 1 Determine whether each mathematical statement is true. a. 4 < 5 True b. 27 ≥ 27 True c. 0 > 5 False d. 16 ≤ 9 False

12. 12 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 1 Determine whether each mathematical statement is true. a. 4 < 5 True b. 27 ≥ 27 True c. 0 > 5 False d. 16 ≤ 9 False

13. 13 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 1 Determine whether each mathematical statement is true. a. 4 < 5 True b. 27 ≥ 27 True c. 0 > 5 False d. 16 ≤ 9 False

14. 14 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 2 Translate each sentence into a mathematical statement. a. Thirteen is less than or equal to nineteen. b. Five is greater than two. c.Seven is not equal to eight.

15. 15 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 2 Translate each sentence into a mathematical statement. a. Thirteen is less than or equal to nineteen. 13 ≤ 19 b. Five is greater than two. c. Seven is not equal to eight.

16. 16 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 2 Translate each sentence into a mathematical statement. a. Thirteen is less than or equal to nineteen. 13 ≤ 19 b. Five is greater than two. 5 > 2 c.Seven is not equal to eight.

17. 17 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 2 Translate each sentence into a mathematical statement. a. Thirteen is less than or equal to nineteen. 13 ≤ 19 b. Five is greater than two. 5 > 2 c. Seven is not equal to eight. 7 ≠ 8

18. 18 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 3 Graph the numbers on a number line.

19. 19 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 3 Graph the numbers on a number line.

20. 20 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 3 Graph the numbers on a number line.

21. 21 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 3 Graph the numbers on a number line.

22. 22 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 3 Graph the numbers on a number line.

23. 23 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 3 Graph the numbers on a number line.

24. 24 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 4 Insert, or = between the pairs of numbers to form true statements. a. 4.7 4.697 b. 32.61 32.61 c. – 4 – 7 d. <

25. 25 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 4 Insert, or = between the pairs of numbers to form true statements. a. 4.7 > 4.697 b. 32.61 32.61 c. – 4 – 7 d. <

26. 26 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 4 Insert, or = between the pairs of numbers to form true statements. a. 4.7 > 4.697 b. 32.61 = 32.61 c. – 4 – 7 d. <

27. 27 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 4 Insert, or = between the pairs of numbers to form true statements. a. 4.7 > 4.697 b. 32.61 = 32.61 c. – 4 > – 7 d. <

28. 28 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 4 Insert, or = between the pairs of numbers to form true statements. a. 4.7 > 4.697 b. 32.61 = 32.61 c. – 4 > – 7 d. <

29. 29 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Absolute Value The absolute value of a real number a, denoted by |a|, is the distance between a and 0 on the number line. 2– 201345– 1– 3– 4– 5 | –4| = 4 Distance of 4 Symbol for absolute value |5| = 5 Distance of 5

30. 30 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 5 Find the absolute value of each number. a. b. c. d.

31. 31 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 5 Find the absolute value of each number. a. b. c. d.

32. 32 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 5 Find the absolute value of each number. a. b. c. d.

33. 33 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 5 Find the absolute value of each number. a. b. c. d.

34. 34 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 5 Find the absolute value of each number. a. b. c. d.

35. 35 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 6 Insert, or = between the pairs of numbers to form true statements. a. b. c.

36. 36 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 6 Insert, or = between the pairs of numbers to form true statements. a. b. c.

37. 37 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 6 Insert, or = between the pairs of numbers to form true statements. a. b. c.

38. 38 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Example 6 Insert, or = between the pairs of numbers to form true statements. a. b. c.