The World of Large Numbers
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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 (B)</p> Signup and view all the answers

Large numbers are typically

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

What is the factorization of the integer 15?

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

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

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

Which number systems is factorization not usually considered meaningful within?

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

Who first considered factorization?

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

What does factorization in mathematics consist of?

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

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

<p>Any $x$ (A)</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 (D)</p> Signup and view all the answers

In which number systems is factorization not usually considered meaningful?

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

What is a parallelogram in Euclidean geometry?

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

What is the three-dimensional counterpart of a parallelogram?

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

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

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

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

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