20 Questions
What is Googology?
The study of large numbers
What does 1.0 × 109 represent?
One billion
What is the purpose of scientific notation?
To simplify writing of large numbers
What does 1.0 × 10−9 represent?
One billionth
Large numbers are typically
Large positive integers
What is the factorization of the integer 15?
$3 imes 5$
What is the factorization of the polynomial $x^2 - 4$?
$(x - 2)(x + 2)$
Which number systems is factorization not usually considered meaningful within?
Complex numbers
How can a meaningful factorization for a rational number or a rational function be obtained?
By writing it in lowest terms and separately factoring its numerator and denominator
Who first considered factorization?
Ancient Greek mathematicians
What does factorization in mathematics consist of?
Writing a number as a product of several factors
What theorem did ancient Greek mathematicians prove in the case of integers?
The fundamental theorem of arithmetic
What can be trivially written as $(xy) imes (1/y)$ whenever $y$ is not zero?
Any $x$
How can a meaningful factorization for a rational number or a rational function be obtained?
By writing it in lowest terms and separately factoring its numerator and denominator
In which number systems is factorization not usually considered meaningful?
Both real and complex numbers
What is a parallelogram in Euclidean geometry?
A quadrilateral with two pairs of parallel sides
What are the characteristics of the opposite sides and angles of a parallelogram?
They are of equal length and measure
What is the three-dimensional counterpart of a parallelogram?
Parallelepiped
What is a quadrilateral with just one pair of parallel sides called in American English?
Trapezoid
What is a parallelogram with four sides of equal length called?
Rhombus
Test your knowledge on large numbers and their applications in various fields such as mathematics, cosmology, cryptography, and statistical mechanics. Explore the characteristics and significance of these numbers in this informative quiz.
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