Questions and Answers
What is the definition of a rational number?
Which of the following is NOT a rational number?
Which of the following statements about rational numbers is false?
Which of the following fractions represents a rational number?
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If $x$ is a rational number, which of the following must be true?
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Study Notes
Rational Numbers
- Rational numbers are a subset of real numbers characterized by their representation in the form of ( p/q ), where ( p ) and ( q ) are integers and ( q \neq 0 ).
- The denominator ( q ) must always be a non-zero value; fractions with zero denominators are undefined.
- Common examples include fractions such as ( 1/2 ), ( 1/5 ), and ( 3/4 ).
- Rational numbers can be expressed as terminating or repeating decimals, indicating they can be precisely represented on the number line.
- All integers are considered rational numbers since they can be expressed as themselves over one (e.g., ( 5 ) can be written as ( 5/1 )).
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