A student says, “Every integer is a rational number because it can be written as \\(n=\\frac{n}{1}\\).” What is the correct evaluation of this statement?
Answer and explanation
Correct answer: The statement is correct because 1 is non-zero and every integer can be written as \(n/1\)
A rational number can be written in the form \(p/q\), where \(p\) and \(q\) are integers and \(q\ne0\). For every integer \(n\), \(n=n/1\), and 1 is not zero; therefore, every integer is rational. Option B is wrong because integers are not irrational. Exam tip: when checking a rational form, make sure that the denominator is not zero.
Frequently asked questions
What is the correct answer to this question?
The statement is correct because 1 is non-zero and every integer can be written as \(n/1\)
Why is this the correct answer?
A rational number can be written in the form \(p/q\), where \(p\) and \(q\) are integers and \(q\ne0\). For every integer \(n\), \(n=n/1\), and 1 is not zero; therefore, every integer is rational. Option B is wrong because integers are not irrational. Exam tip: when checking a rational form, make sure that the denominator is not zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
