Les ensembles de nombres : Naturels, Rationnels et Réels

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Questions and Answers

Les nombres naturels conséquent de tous les entiers positifs : 1, 2, 3,... et sont utilisés pour le comptage et l'ordre.

consist

Les nombres réels incluent tous les nombres _________ et irrationnels.

rationnels

Les nombres rationnels peuvent être exprimés comme le rapport de deux entiers : p/q, où q ≠ _________.

0

Les nombres réels peuvent être représentés sur la ligne des _________.

<p>nombres</p> Signup and view all the answers

Les ensembles de nombres sont liés comme suit : ℕ ⊂ ℚ ⊂ ________.

<p>ℝ</p> Signup and view all the answers

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Study Notes

Number Sets

Natural Numbers (ℕ)

  • Consist of all positive integers: 1, 2, 3, ...
  • Used for counting and ordering
  • Examples: 1, 5, 10, 20, ...

Real Numbers (ℝ)

  • Include all rational and irrational numbers
  • Can be represented on the number line
  • Examples:
    • Rational numbers: 0.5, 3/4, 22/7
    • Irrational numbers: π, e, √2

Rational Numbers (ℚ)

  • Can be expressed as the ratio of two integers: p/q, where q ≠ 0
  • Can be expressed as a finite decimal or a repeating decimal
  • Examples: 0.5, 3/4, 22/7, 0.333... (1/3)

Note: The sets of numbers are related as follows: ℕ ⊂ ℚ ⊂ ℝ

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