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period, of a decimal expansion




The length of the smallest block of repeating digits in the decimal expansion of a rational number that does not terminate. For example:
1/3 = 0.333333333333...; repeating block = 3, period = 1
5/7 = 0.71428571428571...; repeating block = 714285, period = 6
89/26 = 3.4230769230769...; repeating block = 230769, period = 6

Related category

   • ARITHMETIC