\[ \begin{array} { r c l c r }
1 & \times & 8 & = & 8 \\
11 & \times & 88 & = & 968 \\
111 & \times & 888 & = & 98568 \\
1111 & \times & 8888 & = & 9874568 \\
11111 & \times & 88888 & = & 987634568 \\
111111 & \times & 888888 & = & 98765234568 \\
1111111 & \times & 8888888 & = & 9876541234568 \\
\end{array} \]
What is the value of:
\[ 11111111 \times 88888888 ? \]
Note: Can you explain what is happening?
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