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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)