If \(\frac{m}{n}\) is a rational number and (n\ne0), what type of numbers are (m) and (n)?
Answer and explanation
Correct answer: Integers
By definition, a rational number is written as \(\frac{m}{n}\), where both \(m\) and \(n\) are integers and \(n\ne0\). Therefore, integers is the correct option. “Natural numbers only” is incorrect because \(m\) can be zero or negative, as in \(-\frac{3}{5}\). Exam tip: in a rational number, the numerator and denominator are integers, but the denominator must not be zero.
Frequently asked questions
What is the correct answer to this question?
Integers
Why is this the correct answer?
By definition, a rational number is written as \(\frac{m}{n}\), where both \(m\) and \(n\) are integers and \(n\ne0\). Therefore, integers is the correct option. “Natural numbers only” is incorrect because \(m\) can be zero or negative, as in \(-\frac{3}{5}\). Exam tip: in a rational number, the numerator and denominator are integers, but the denominator must not be zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Rational numbers.
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