Why is there no 8 in the first half of the product of 1111111111x1111111111
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1 111 x 1 111 = 1234321
...
11 111 111 x 11 111 111 =123456787654321
111 111 111 x 111 111 111 = 12345678987654321
Now, when you multiply 1 111 111 111 111 x 1 111 111 111 111
you get ten 1s in a column that requires a sum of 10 which results in a 0 and a carry of 1
This '1' (placed into the column to the left) results in the next column having its original nine 1's plus the extra carry of 1
to alsoe have a sum of 10 resulting in a 0 and a carry of 1.
This carry is placed into the next column (to the left) along with its eight 1's, giving a sum of 9.
Thus there is no '8' on the left-hand side.
To see why, try it!
It's not difficult; just write neatly ...