The World of Large Numbers
20 Questions
2 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

What is Googology?

  • The study of large numbers (correct)
  • The study of internet
  • The study of Google
  • The study of search algorithms

    • What does 1.0 × 109 represent?

  • One trillion
  • One million
  • One quadrillion
  • One billion (correct)

    • What is the purpose of scientific notation?

  • To simplify writing of large numbers (correct)
  • To replace arithmetic operations
  • To complicate number system
  • To replace decimal numbers

    • What does 1.0 × 10−9 represent?

    <p>One billionth</p> Signup and view all the answers

    Large numbers are typically

    <p>Large positive integers</p> Signup and view all the answers

    What is the factorization of the integer 15?

    <p>$3 imes 5$</p> Signup and view all the answers

    What is the factorization of the polynomial $x^2 - 4$?

    <p>$(x - 2)(x + 2)$</p> Signup and view all the answers

    Which number systems is factorization not usually considered meaningful within?

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

    How can a meaningful factorization for a rational number or a rational function be obtained?

    <p>By writing it in lowest terms and separately factoring its numerator and denominator</p> Signup and view all the answers

    Who first considered factorization?

    <p>Ancient Greek mathematicians</p> Signup and view all the answers

    What does factorization in mathematics consist of?

    <p>Writing a number as a product of several factors</p> Signup and view all the answers

    What theorem did ancient Greek mathematicians prove in the case of integers?

    <p>The fundamental theorem of arithmetic</p> Signup and view all the answers

    What can be trivially written as $(xy) imes (1/y)$ whenever $y$ is not zero?

    <p>Any $x$</p> Signup and view all the answers

    How can a meaningful factorization for a rational number or a rational function be obtained?

    <p>By writing it in lowest terms and separately factoring its numerator and denominator</p> Signup and view all the answers

    In which number systems is factorization not usually considered meaningful?

    <p>Both real and complex numbers</p> Signup and view all the answers

    What is a parallelogram in Euclidean geometry?

    <p>A quadrilateral with two pairs of parallel sides</p> Signup and view all the answers

    What are the characteristics of the opposite sides and angles of a parallelogram?

    <p>They are of equal length and measure</p> Signup and view all the answers

    What is the three-dimensional counterpart of a parallelogram?

    <p>Parallelepiped</p> Signup and view all the answers

    What is a quadrilateral with just one pair of parallel sides called in American English?

    <p>Trapezoid</p> Signup and view all the answers

    What is a parallelogram with four sides of equal length called?

    <p>Rhombus</p> Signup and view all the answers

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser