\begin{definition}[Definition:Classical Algorithm/Primitive Multiplication/Base 10 Multiplication Table]
The primitive multiplication operation for conventional base $10$ arithmetic of two $1$-digit integers can be presented as a pair of operation tables as follows:
:$\begin{array}{c|cccccccccc}
p & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\
\hline
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\
2 & 0 & 2 & 4 & 6 & 8 & 0 & 2 & 4 & 6 & 8 \\
3 & 0 & 3 & 6 & 9 & 2 & 5 & 8 & 1 & 4 & 7 \\
4 & 0 & 4 & 8 & 2 & 6 & 0 & 4 & 8 & 2 & 6 \\
5 & 0 & 5 & 0 & 5 & 0 & 5 & 0 & 5 & 0 & 5  \\
6 & 0 & 6 & 2 & 8 & 4 & 0 & 6 & 2 & 8 & 4  \\
7 & 0 & 7 & 4 & 1 & 8 & 5 & 2 & 9 & 6 & 3  \\
8 & 0 & 8 & 6 & 4 & 2 & 0 & 8 & 6 & 4 & 2  \\
9 & 0 & 9 & 8 & 7 & 6 & 5 & 4 & 3 & 2 & 1  \\
\end{array} \qquad \begin{array}{c|cccccccccc}
c & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\
\hline
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
2 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 \\
3 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 2 & 2 & 2 \\
4 & 0 & 0 & 0 & 1 & 1 & 2 & 2 & 2 & 3 & 3 \\
5 & 0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 & 4 & 4 \\
6 & 0 & 0 & 1 & 1 & 2 & 3 & 3 & 4 & 4 & 5 \\
7 & 0 & 0 & 1 & 2 & 2 & 3 & 4 & 4 & 5 & 6 \\
8 & 0 & 0 & 1 & 2 & 3 & 4 & 4 & 5 & 6 & 7 \\
9 & 0 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\end{array}$
\end{definition}