Real Numbers in Mathematics
15 Questions
1 Views

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 type of number can be used to measure a continuous one-dimensional quantity?

  • Rational numbers
  • Complex numbers
  • Real numbers (correct)
  • Imaginary numbers
  • How are real numbers distinguished from imaginary numbers?

  • By being irrational
  • By being transcendental
  • By being rational
  • By being represented on the number line (correct)
  • What type of numbers include the rational numbers and the irrational numbers?

  • Transcendental numbers
  • Complex numbers
  • Real numbers (correct)
  • Algebraic numbers
  • Which type of numbers can be almost uniquely represented by an infinite decimal expansion?

    <p>Rational numbers</p> Signup and view all the answers

    What is the set of real numbers denoted as?

    <p>$oldsymbol{R}$</p> Signup and view all the answers

    What are the operations involved in a polynomial?

    <p>Addition, subtraction, multiplication, and positive-integer powers of variables</p> Signup and view all the answers

    What does the term 'polynomial' mean?

    <p>A sum of many terms (many monomials)</p> Signup and view all the answers

    What does the 'x' in a polynomial commonly refer to?

    <p>A variable or an indeterminate</p> Signup and view all the answers

    In what areas of mathematics and science do polynomials appear?

    <p>Forming polynomial equations, defining polynomial functions, and in calculus and numerical analysis</p> Signup and view all the answers

    What are the roots of the word 'polynomial'?

    <p>The Greek poly meaning 'many' and the Latin nomen meaning 'name'</p> Signup and view all the answers

    Which of the following is a polynomial with three indeterminates?

    <p>$3x^2 + 5xy - 7y^3$</p> Signup and view all the answers

    What is the meaning of the term 'polynomial'?

    <p>A mathematical expression consisting of variables and coefficients</p> Signup and view all the answers

    In what fields do polynomials appear?

    <p>Mathematics and science</p> Signup and view all the answers

    What does the word 'polynomial' mean etymologically?

    <p>A sum of many terms</p> Signup and view all the answers

    What is commonly referred to as an 'indeterminate' in a polynomial?

    <p>The variable x</p> Signup and view all the answers

    More Like This

    Understanding Real Numbers Quiz
    5 questions
    Real Numbers in Mathematics Quiz
    5 questions
    Real Numbers in Mathematics
    5 questions
    Real Numbers in Mathematics
    5 questions

    Real Numbers in Mathematics

    WellIntentionedPlatypus avatar
    WellIntentionedPlatypus
    Use Quizgecko on...
    Browser
    Browser