What is a transcendental number?

Exploring Transcendental Numbers and Patterns

Interactive Video
•
Mathematics
•
10th Grade - University
•
Hard

Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A number that is a solution to a polynomial equation with integer coefficients
A number that can be expressed as a fraction
A number that cannot be expressed as a root of any non-zero polynomial equation with rational coefficients
A number that is always an integer
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What surprising result occurs when e is raised to the power of Pi?
It results in a perfect square
It results in a near-integer
It results in a rational number
It results in a prime number
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are Treehouse numbers?
Numbers that are solutions to quadratic equations
Numbers that are exactly integers
Numbers that are close to integers when certain operations are performed
Numbers that are always prime
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the number of nines in the decimal expansion and Treehouse numbers?
More nines indicate a prime number
More nines indicate a smaller number
More nines indicate a larger number
More nines indicate a closer approximation to an integer
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was the main challenge in finding better Treehouse numbers?
The numbers grew exponentially and required high precision
The numbers were too small
Lack of computational power
The numbers were not defined properly
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of Python code in the exploration of Treehouse numbers?
To solve polynomial equations
To calculate the exact value of transcendental numbers
To find new Treehouse numbers with better precision
To prove the existence of Treehouse numbers
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are Caboose numbers related to Treehouse numbers?
They are completely unrelated
They are related through a linear equation
They are both prime numbers
They are both solutions to the same polynomial
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