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Due to length restrictions, we kindly invite to check the explanation of this question for further details on the classification of real numbers.

How to determine the sets to which each real numbers

The set of real numbers contains the following subsets:

  1. Natural numbers - Real numbers contained in the following set: {1, 2, 3, 4, ....}
  2. Integers - Real numbers contained in the following three sets: {... , - 4, - 3, - 2, - 1} ∪ {0} ∪ {1, 2, 3, 4, ....}
  3. Rational numbers - Real numbers of the form m / n, where m, n are integers and n ≠ 0.
  4. Irrational numbers - Real numbers that neither natural numbers nor integers nor rational numbers.

Now we proceed to classify each number:

  1. - 15 : Integer / Rational number
  2. √30 : Irrational number
  3. 6 : Natural number / Integer / Rational number
  4. - 13 : Integer / Rational number
  5. 10 / 11 : Rational number
  6. - 13: Integer / Rational number
  7. 475 / 325 : Rational number
  8. 6 / 7 : Rational number
  9. - √196 : Integer / Rational number
  10. - 16 / - 2 : Natural number / Integer / Rational number
  11. 11 : Natural number / Integer / Rational number
  12. 17 / 3 : Rational number
  13. 0 : Integer / Rational number
  14. 3 : Natural number / Integer / Rational number
  15. 14 : Natural number / Integer / Rational number
  16. π : Irrational number
  17. √77 : Irrational number
  18. √0 : Integer / Rational number
  19. - 1 : Integer / Rational number
  20. 135 / - 5 : Integer / Rational number

To learn more on real numbers: https://brainly.com/question/551408

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