\begin{problem}
Determine whether each of the following is a binary operation on the specified set.
\begin{enumerate}
\item Ordinary subtraction on the set of natural numbers.
\item Ordinary subtraction on the set of integers.
\item Ordinary division on the set of integers.
\item Ordinary division on the set of rational numbers.
\item Ordinary division on the set of non-zero rational numbers.
\end{enumerate}
\end{problem}
Here is a potential problem to add.
\begin{problem} Determine whether each of the following is a binary operation on the specified set. \begin{enumerate} \item Ordinary subtraction on the set of natural numbers. \item Ordinary subtraction on the set of integers. \item Ordinary division on the set of integers. \item Ordinary division on the set of rational numbers. \item Ordinary division on the set of non-zero rational numbers. \end{enumerate} \end{problem}