Which is the correct definition of a rational number?
Answer and explanation
Correct answer: It can be written as \(\frac{p}{q}\) where p and q are integers and \(q\neq 0\)
A rational number can be written as a ratio of two integers, \(\frac{p}{q}\), with p and q integers and \(q\neq0\). Rational numbers have decimal expansions that are either terminating or repeating. Option B describes irrational numbers (non-terminating, non-repeating decimals). Option C is wrong because rationals include positive, negative and zero. Option D contradicts the definition. Exam tip: check the decimal expansion — terminating or repeating indicates a rational number.
Frequently asked questions
What is the correct answer to this question?
It can be written as \(\frac{p}{q}\) where p and q are integers and \(q\neq 0\)
Why is this the correct answer?
A rational number can be written as a ratio of two integers, \(\frac{p}{q}\), with p and q integers and \(q\neq0\). Rational numbers have decimal expansions that are either terminating or repeating. Option B describes irrational numbers (non-terminating, non-repeating decimals). Option C is wrong because rationals include positive, negative and zero. Option D contradicts the definition. Exam tip: check the decimal expansion — terminating or repeating indicates a rational number.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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