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. (B)</p> Signup and view all the answers

What are some examples of irrational numbers?

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

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

<p>Pythagoras (C)</p> Signup and view all the answers

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

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

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

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

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

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

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