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Unit Fractions: Terminating, Repeating, or Never-Ending?


Consider the unit fraction 1/n, for n 50. What patterns do you notice in the decimal form of these unit fractions? What do you notice about the terminating decimals? The repeating decimals? The decimals that repeat after a delay? Using a spreadsheet may help in your investigations.



 Extensions

Which unit fraction (for n 50) has the decimal expansion of longest period?

Dividing by zero: Why can't the denominator of a fraction be zero?



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