Master the World of Irrational Numbers

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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

Flashcards are hidden until you start studying

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 â„‘.

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 Ï€ (pi), which is approximately equal to 3.14159 but is a non-repeating, non-terminating decimal.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Use Quizgecko on...
Browser
Browser