\begin{definition}[Definition:P-adic Norm/P-adic Numbers]
Let $p$ be a prime number.
Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the $p$-adic numbers.
The norm $\norm {\,\cdot\,}_p$ on $\Q_p$ is called the '''$p$-adic norm''' on $\Q_p$.
\end{definition}