\begin{definition}[Definition:P-adic Number/Representative]
Let $p$ be any prime number.
Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the $p$-adic numbers.
Let $\NN$ be the set of null sequences in $\struct {\Q, \norm {\,\cdot\,}_p}$.
Let $\sequence{x_n} + \NN$ be any $p$-adic number of $\Q_p$. 
Each Cauchy sequence $\sequence {y_n}$ of the left coset $\sequence{x_n} + \NN$ is called a '''representative''' of the $p$-adic number $\sequence{x_n} + \NN$.
\end{definition}