Henry Ernest Dudeney/Puzzles and Curious Problems/174 - More Curious Multiplication/Mistake

Source Work

 * Arithmetical and Algebraical Problems
 * Various Arithmetical and Algebraical Problems
 * $174$. -- More Curious Multiplication
 * $174$. -- More Curious Multiplication


 * Arithmetical and Algebraical Problems
 * Miscellaneous Puzzles
 * $238$. More Curious Multiplication
 * $238$. More Curious Multiplication

Mistake

 * The number is $987,654,321$, which, when multiplied by $18$, gives $17,777,777,778$, with $1$ and $8$ at the beginning and end.
 * And so on with the other multipliers, except $90$, where the product is $88,888,888,890$, with $90$ at the end.

Correction
completely missed all numbers of the form $\sqbrk {1 0 d_1 d_2 \ldots d_n 0 1}_{10}$.

He also missed: