
Exploring the Discovery of Irrational Numbers

Interactive Video
•
Mathematics, Philosophy
•
9th - 12th Grade
•
Hard

Jackson Turner
Used 1+ times
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was the Pythagorean belief about numbers?
Numbers were merely symbols.
Numbers were the building blocks of the Universe.
Numbers were only useful for trade.
Numbers were irrelevant to the cosmos.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What was Hippasus's significant mathematical discovery?
The formula for calculating pi.
The existence of irrational numbers.
The concept of zero.
The method for solving quadratic equations.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape did Hippasus use to demonstrate the existence of an irrational number?
A rectangle with different side lengths.
A square with each side measuring one unit.
A triangle with equal sides.
A circle with a known radius.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What assumption did Hippasus make to start his proof by contradiction?
That root 2 is a whole number.
That root 2 can be expressed as a ratio of two integers.
That root 2 is an irrational number.
That all numbers are irrational.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Hippasus's proof, what did he conclude about the integers p and q?
They must both be odd.
They must both be even.
They must have a common factor of three.
They must be prime numbers.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of a proof by contradiction?
It confirms a hypothesis by direct evidence.
It simplifies complex equations.
It disproves a hypothesis by showing a contradiction.
It provides a numerical solution to a problem.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can irrational numbers be represented on the number line?
By using only whole numbers.
By using geometric constructions.
By approximating with rational numbers.
By ignoring them altogether.
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