Mathematical Concepts and Subdisciplines
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Number theory, algebra, geometry, and analysis (correct)
  • Calculus, trigonometry, algebra, and statistics
  • Arithmetic, calculus, topology, and probability
  • Algebra, geometry, statistics, and calculus

What is the primary method used in mathematical activity?

  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Collection of empirical data and statistical analysis
  • Experimental testing and observation
  • Intuitive guesswork and trial-and-error

What are the fundamental truths of mathematics independent from?

  • Any scientific experimentation (correct)
  • Empirical evidence only
  • Applied mathematics
  • Philosophical reasoning

What does a proof in mathematics consist of?

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

In which areas is mathematics essential?

<p>Natural sciences, engineering, medicine, finance, computer science and social sciences (D)</p> Signup and view all the answers

What does the exponent 4 in $x^4$ represent?

<p>The number of factors of x (C)</p> Signup and view all the answers

What does $2^6$ equal to?

<p>64 (B)</p> Signup and view all the answers

What is the result of $a^3 * a^5$?

<p>$a^8$ (B)</p> Signup and view all the answers

What is the expanded form of $b^4$?

<p>$b<em>b</em>b*b$ (C)</p> Signup and view all the answers

What is the simplified form of $x^2 * x^3 * x^4$?

<p>$x^9$ (B)</p> Signup and view all the answers

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