This lesson reinforces understanding of place value by having students find numeral representations in bases other than 10. Students learn the repeated subtraction and repeated division methods for converting a decimal number N to a numeral in base b, provided b is an integer other than -1, 0, or 1. Students also learn how to represent a number as a sum of Fibonacci numbers. An applet for making base conversions is provided and base converter software to be used with the TI-83 is referenced. Activity sheets, questions for students, suggestions for assessment, lesson extensions, and prompts for teacher reflection are included. (author/sw)