Rational and Irrational Numbers Quiz
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Rational and Irrational Numbers Quiz

Test your knowledge on rational and irrational numbers, including their definitions and decimal representations. Learn to differentiate between numbers that can be expressed as fractions and those that cannot.

Created by
@AdoredBohrium

Questions and Answers

Which of the following numbers is a rational number?

0.01001000100001...

What type of number is the value of Pi (π)?

Irrational

How does the text prove that 2 is an irrational number?

By squaring both sides of the equation 2 = p/q

In the proof that 2 is irrational, what does the text assume about p/q?

<p>p/q is not in its lowest form</p> Signup and view all the answers

What would happen if 3 was assumed to be rational?

<p>It would lead to a contradiction</p> Signup and view all the answers

What type of decimal is 0.142857142857... according to the text?

<p>Recurring</p> Signup and view all the answers

What is the defining characteristic of a rational number?

<p>Can be put in the form p/q where p, q are integers and q is not equal to 0</p> Signup and view all the answers

Which of the following is an example of a terminating decimal?

<p>0.125</p> Signup and view all the answers

What type of decimal can always be converted into a common fraction?

<p>Terminating decimal</p> Signup and view all the answers

Which of the following is a characteristic of irrational numbers?

<p>Cannot be expressed as a fraction</p> Signup and view all the answers

What is the defining characteristic of a recurring decimal?

<p>Has one or more repeating digits indefinitely</p> Signup and view all the answers

Why do non-terminating, non-recurring decimals represent irrational numbers?

<p>Because they cannot be converted into common fractions</p> Signup and view all the answers

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