Master the World of Irrational Numbers
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Questions and Answers

Which of the following is the correct definition of irrational numbers?

  • Numbers that can be expressed as a ratio of two integers
  • Numbers that can be expressed as simple fractions
  • Numbers that cannot be expressed as a ratio of two integers
  • Numbers that cannot be expressed as simple fractions (correct)
  • Which symbol is used to denote the set of irrational numbers?

  • R - Q
  • R
  • R\Q (correct)
  • Q
  • Which of the following is an example of an irrational number?

  • √5 (correct)
  • 0.25
  • 3.14
  • 2/3
  • What is the difference between rational and irrational numbers?

    <p>Rational numbers can be expressed as simple fractions, while irrational numbers cannot</p> Signup and view all the answers

    Study Notes

    Irrational Numbers

    • An irrational number is a real number that cannot be expressed as a finite decimal or fraction (i.e., it is not a rational number).
    • The set of irrational numbers is denoted by the symbol ℑ.

    Rational vs. Irrational Numbers

    • Rational numbers are real numbers that can be expressed as the ratio of two integers (e.g., 3/4, 22/7).
    • Irrational numbers, on the other hand, are real numbers that cannot be expressed as a finite decimal or fraction.
    • An example of an irrational number is π (pi), which is approximately equal to 3.14159 but is a non-repeating, non-terminating decimal.

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    Description

    Test your knowledge on irrational numbers with this quiz! Explore their definition, properties, examples, and symbol. Challenge yourself to understand these real numbers that cannot be expressed as simple fractions.

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