



 
Hi Randy, The number words we use, one, two, three, ...,seventeen, ..., twentythree, ..., fortyseven,... are a function of the language we use, English, and are applicable regardless of the mathematical notation we might use to represent the number. For example twentythree might be written $23$ using base 10 notation, or $43_5$ using base 5 notation, or XXIII using Roman numerals, or using Mayan numerals. (By the way the number $43_5$ should be read as twentythree or four three base five. Don't be tempted to read $43_5$ as fortythree base five. Fortythree means four tens plus three where $23_5$ is four fives plus three.) The number words in English reflect the fact that we use a base ten system to count. If you want number words that reflect a base five system you would need to find a culture that uses a base five system and look at the number words in their language. A better example is base twenty. The Wikipedia Vigesimal page contains examples of cultures that use a base twenty numerical system and some illustrations how the number words reflect this fact. I hope this helps,  


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