## Frank Morgan's Math Chat |

MAY 3, 2001

**Answer.** Eric Brahinsky found both the large 8^{9}!, with over a billion
digits, and the small .1^{9} = .000000001. A number of readers found the
second place winners: the large 7^{89}, with over a hundred million digits,
and the small 8^{-9} = .000000007...

**New Challenge.** Al Zimmermann reports that:

A few years ago I bought a candy bar at the concession stand in a movie theater. I paid with a $20 bill. My change was a thick wad of bills accompanied by the apology, "Sorry for all the singles, but I only have one Ten left and I want to save it in case I need it later."

Does this make any sense? What is the best strategy for making change at a concession stand?

Copyright 2001, Frank Morgan.

Send answers, comments, and new questions by email to
Frank.Morgan@williams.edu, to be eligible for* Flatland *and other book
awards. Winning answers will appear in the next Math Chat. Math Chat
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homepage is at www.williams.edu/Mathematics/fmorgan.

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