Is zero a rational number? Can you write it in the form (p/q), where p and q are integers and q ≠ 0?
Question
Is zero a rational number? Can you write it in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$ ?
Answer
Yes, zero is a rational number. It can be written in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$, by choosing $p=0$ and any non-zero $q$. For example, zero can be written as $\frac{0}{1}$, $\frac{0}{2}$, $\frac{0}{-3}$, and so on. In each case, $p = 0$ is an integer, and $q$ is any non-zero integer, fulfilling the conditions for a rational number.
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