Understanding Rational and Irrational Numbers

What is a rational number?

• A number that can be expressed as a ratio of two integers

• A number that is always a fraction

• A number that cannot be expressed as a ratio of two integers

• A number that is always a whole number

Which of the following is an example of an irrational number?

• 3/8

• 0.375

• 5

• Pi

Who is credited with the first proof of the irrationality of the square root of two?

• Hesus

• Pythagoras

• Euclid

• Tom Apostle

What was the belief of the Pythagoreans that Hesus challenged?

• All numbers can be described with positive integers

• All numbers are irrational

• All numbers are fractions

• All numbers are whole numbers

What is the significance of the Pythagorean theorem in Apostle's proof?

• It proves that all numbers are rational

• It demonstrates the irrationality of Pi

• It shows that all triangles are isosceles

• It helps in calculating the diagonal of a unit square

In Apostle's proof, what is assumed about the square root of two?

• It is a whole number

• It is a rational number

• It is a fraction

• It is an integer

What geometric shape is central to Apostle's proof?

• Equilateral triangle

• Scalene triangle

• Square

• Isosceles right triangle

What is the contradiction found in Apostle's proof?

• The triangle is not isosceles

• A larger triangle is constructed

• A smaller isosceles right triangle with integer sides is constructed

• The triangle is not right-angled

What does the conclusion of Apostle's proof reaffirm?

• All numbers are irrational

• The square root of two is rational

• The square root of two is irrational

• All numbers are rational

What traditional phrase is used to conclude the proof?

• QED

• The End

• RIP

• Eureka