Rational Numbers in Number Systems Quiz
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Questions and Answers

Which of the following statements is true regarding rational and irrational numbers?

  • All whole numbers are irrational numbers.
  • Every irrational number is a whole number.
  • Every whole number is a rational number. (correct)
  • Every rational number is a whole number.

    • Who were the first to discover irrational numbers?

  • Newton
  • Archimedes
  • Pythagoreans (correct)
  • Euclid

    • Which of the following is an irrational number?

  • 0.5
  • sqrt(2) (correct)
  • 3/4
  • 2.5

    • What makes a number irrational?

    <p>It cannot be written in the form a/b where a and b are integers.</p> Signup and view all the answers

    What are some examples of irrational numbers?

    <p>$rac{22}{7}, rac{355}{113}, rac{99}{70}$</p> Signup and view all the answers

    Which ancient mathematician and philosopher had followers who discovered irrational numbers?

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

    What type of numbers cannot be expressed as a ratio of integers?

    <p>$\sqrt{3}$</p> Signup and view all the answers

    In the context of numbers, what does it mean if a number is 'irrational'?

    <p>$\sqrt{2}$</p> Signup and view all the answers

    $\sqrt{5}$ belongs to which category of numbers?

    <p>Irrational Numbers</p> Signup and view all the answers

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