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View All the King's Digits Sister Site at The World of Trotter Math.

This solutions page presents a special challenge that we'll call "The Tail of the Dog". It simply means the expression has two parts: a body composed of eight non-zero digits, and a tail composed of the zero (0) and the remaining non-zero digit. See solutions #52-#60.

The tail can be connected to the body in one of three ways:

• "body = 100" + 0 * d [or 0^d] (where d is that remaining ninth digit), or
• "body = 100" * d^0
• "body = 99" + d^0

A good example of the first expression structure was done by Eric Kissinger, #3 (on the first page of solutions). A good example of the second expression structure was done by Ellen Li, #36. The third expression structure was done by Jerod Dai, #32. Please take a look at them.

This means that in the future a solution such as this:

(49 + 51) + (235678)(0)
possibly won't be posted for lack of creativity and general interest. Ok?

The submissions below arrived from February 18 till March 6, 2001.