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Questions and Answers
Is the number 9.0 rational or irrational?
Is the number 9.0 rational or irrational?
rational
Is the number 5/Ï€ rational or irrational?
Is the number 5/Ï€ rational or irrational?
irrational
Is the number -502/501 rational or irrational?
Is the number -502/501 rational or irrational?
rational
Is the number 7.11 rational or irrational?
Is the number 7.11 rational or irrational?
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Is the number 0.3Ï€ rational or irrational?
Is the number 0.3Ï€ rational or irrational?
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Study Notes
Classification of Numbers: Rational & Irrational
- Rational Numbers: Can be expressed as a fraction, where both numerator and denominator are integers, with the denominator not equal to zero.
- Irrational Numbers: Cannot be expressed as simple fractions; their decimal expansions are non-repeating and non-terminating.
Examples of Rational Numbers
- 9.0: A rational number as it can be expressed as 9/1.
- -(502/501): Negative fraction that qualifies as rational since it is a ratio of two integers.
- 7.11: Can be written as 711/100, thus it is a rational number.
Examples of Irrational Numbers
- 5/π: Represents a ratio involving π, which is an irrational number, making this expression irrational.
- 0.3π: Involves the irrational number π, hence makes the entire expression irrational.
Quick Recall
- Rational numbers include integers, fractions, and finite/recurring decimals.
- Irrational numbers consist of non-repeating, non-terminating decimals like √2, π, and e.
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