Mathematics Quiz
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Algebra, calculus, topology, and probability
  • Arithmetic, calculus, trigonometry, and statistics
  • Number theory, geometry, calculus, and statistics
  • Number theory, algebra, geometry, and analysis (correct)
  • What does most mathematical activity involve?

  • Application of mathematical formulas to real-world problems
  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Experimentation with different mathematical concepts
  • Memorization of mathematical theorems and axioms
  • What do mathematical objects in modern mathematics consist of?

  • Concepts derived from ancient mathematics
  • Abstractions from nature or entities stipulated to have certain properties (correct)
  • Randomly selected objects with undefined properties
  • Physical objects and real-life phenomena
  • What does a proof in mathematics consist of?

    <p>A succession of applications of deductive rules to already established results</p> Signup and view all the answers

    What are the starting points of a theory in modern mathematics?

    <p>Axioms and basic properties considered true</p> Signup and view all the answers

    Which of the following is a rational number?

    <p>$\frac{5}{9}$</p> Signup and view all the answers

    What type of real numbers are rational?

    <p>Numbers whose decimal expansion eventually repeats the same finite sequence of digits over and over</p> Signup and view all the answers

    Which set of numbers is usually denoted by $\mathbb{Q}$?

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

    What is the decimal expansion of a rational number like $\frac{1}{3}$?

    <p>Eventually begins to repeat the same finite sequence of digits over and over</p> Signup and view all the answers

    Which of the following is not a rational number?

    <p>$\pi$</p> Signup and view all the answers

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