10 Questions
Which of the following is a rational number?
$\frac{5}{8}$
What is the set of all rational numbers denoted by?
$\mathbb{Q}$
What is the decimal expansion of $\frac{1}{6}$?
0.1666...
Which number is not a rational number?
$\frac{-4}{0}$
Which type of real numbers are rational?
Those with terminating decimal expansions
Which of the following is a rational number?
0.999999...
What is the decimal expansion of $\frac{1}{7}$?
0.142857142857...
Which of the following is a rational number?
0.272727...
What is the decimal expansion of $\frac{5}{11}$?
0.454545...
Which of the following is a rational number?
0.141414...
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.
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.
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