# 1.3 – Properties of Real Numbers - PowerPoint PPT Presentation

1.3 – Properties of Real Numbers

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## 1.3 – Properties of Real Numbers

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1. 1.3 – Properties of Real Numbers

2. 1.3 – Properties of Real Numbers Real Numbers

3. 1.3 – Properties of Real Numbers Real Numbers (R)

4. 1.3 – Properties of Real Numbers Real Numbers (R)

5. 1.3 – Properties of Real Numbers Real Numbers (R) Rational

6. 1.3 – Properties of Real Numbers Real Numbers (R) Rational (⅓)

7. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓)

8. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓)

9. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) Integers

10. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) Integers (-6)

11. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6)

12. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6)

13. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6) Whole #’s

14. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6) Whole #’s (0)

15. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6) (W) Whole #’s (0)

16. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6) (W) Whole #’s (0)

17. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6) (W) Whole #’s (0) Natural #’s

18. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6) (W) Whole #’s (0) Natural #’s (7)

19. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6) (W) Whole #’s (0) (N) Natural #’s (7)

20. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (Z) Integers (-6) (W) Whole #’s (0) (N) Natural #’s (1)

21. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) Irrational (Z) Integers (-6) (W) Whole #’s (0) (N) Natural #’s (1)

22. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) Irrational √ 5 (Z) Integers (-6) (W) Whole #’s (0) (N) Natural #’s (1)

23. 1.3 – Properties of Real Numbers Real Numbers (R) (Q) Rational (⅓) (I) Irrational √ 5 (Z) Integers (-6) (W) Whole #’s (0) (N) Natural #’s (1)

24. Example 1

25. Example 1 Name the sets of numbers to which each apply.

26. Example 1 Name the sets of numbers to which each apply.

27. Example 1 Name the sets of numbers to which each apply.

28. Example 1 Name the sets of numbers to which each apply. (a) √ 16

29. Example 1 Name the sets of numbers to which each apply. (a) √ 16 = 4

30. Example 1 Name the sets of numbers to which each apply. (a) √ 16 = 4 - N

31. Example 1 Name the sets of numbers to which each apply. (a) √ 16 = 4 - N, W

32. Example 1 Name the sets of numbers to which each apply. (a) √ 16 = 4 - N, W, Z

33. Example 1 Name the sets of numbers to which each apply. (a) √ 16 = 4 - N, W, Z, Q

34. Example 1 Name the sets of numbers to which each apply. (a) √ 16 = 4 - N, W, Z, Q, R

35. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185

36. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z

37. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q

38. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R

39. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R • √ 20

40. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R • √ 20 - I, R

41. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R • √ 20 - I, R (d) -⅞

42. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R • √ 20 - I, R (d) -⅞ - Q

43. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R • √ 20 - I, R (d) -⅞ - Q, R

44. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R • √ 20 - I, R (d) -⅞ - Q, R __ (e) 0.45

45. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R • √ 20 - I, R (d) -⅞ - Q, R __ (e) 0.45 - Q

46. Example 1 Name the sets of numbers to which each apply. • √ 16 = 4 - N, W, Z, Q, R • -185 - Z, Q, R • √ 20 - I, R (d) -⅞ - Q, R __ (e) 0.45 - Q, R

47. Properties of Real Numbers

48. Example 2

49. Example 2 Name the property used in each equation.

50. Example 2 Name the property used in each equation. (a) (5 + 7) + 8 = 8 + (5 + 7)