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Questions and Answers
Which of the following is a rational number?
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?
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 $\frac{1}{6}$?
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?
Which number is not a rational number?
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Which type of real numbers are rational?
Which type of real numbers are rational?
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Which of the following is a rational number?
Which of the following is a rational number?
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What is the decimal expansion of $\frac{1}{7}$?
What is the decimal expansion of $\frac{1}{7}$?
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Which of the following is a rational number?
Which of the following is a rational number?
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What is the decimal expansion of $\frac{5}{11}$?
What is the decimal expansion of $\frac{5}{11}$?
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Which of the following is a rational number?
Which of the following is a rational number?
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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 (Ï€) 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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