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Rational Numbers Quiz

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Questions and Answers

Which of the following is a rational number?

$\sqrt{2}$

$\frac{5}{8}$ (correct)

$\frac{1}{0}$

$\pi$

What is the set of all rational numbers denoted by?

$\mathbb{R}$

$\mathbb{Z}$

$\mathbb{Q}$ (correct)

$\mathbb{N}$

What is the decimal expansion of $\frac{1}{6}$?

0.1666... (correct)

0.142857142857...

0.123456789...

0.6

Which number is not a rational number?

$\frac{-4}{0}$ Signup and view all the answers

Which type of real numbers are rational?

Those with terminating decimal expansions Signup and view all the answers

Which of the following is a rational number?

0.999999... Signup and view all the answers

What is the decimal expansion of $\frac{1}{7}$?

0.142857142857... Signup and view all the answers

Which of the following is a rational number?

0.272727... Signup and view all the answers

What is the decimal expansion of $\frac{5}{11}$?

0.454545... Signup and view all the answers

Which of the following is a rational number?

0.141414... Signup and view all the answers

Study Notes

Rational Numbers

A rational number is a number that can be expressed as the ratio of two integers, such as 3/4 or 22/7.

Notation

The set of all rational numbers is denoted by Q.

Decimal Expansion

The decimal expansion of 1/6 is 0.1666... (repeating).
The decimal expansion of 1/7 is 0.142857... (repeating).
The decimal expansion of 5/11 is 0.454545... (repeating).

Non-Rational Numbers

Pi (π) is not a rational number, it's an irrational number.

Types of Real Numbers

Rational numbers are a type of real numbers.
All integers, fractions, and decimals that terminate or repeat are rational numbers.

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Description

Test your knowledge of rational numbers with this quiz! Challenge yourself with questions about fractions, integers, and the properties of rational numbers. Whether you're a math whiz or just getting started, this quiz will help you sharpen your understanding of rational numbers.