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Terminating Decimal


A terminating decimal is a decimal expansion whose digits are eventually all zero after the decimal point. For example, 1/8=0.125 terminates, whereas 1/3=0.333... does not. A rational number a/b in lowest terms has a terminating decimal expansion iff the prime factors of b are only 2 and 5.


See also

Decimal Expansion, Rational Number, Repeating Decimal

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Cite this as:

Weisstein, Eric W. "Terminating Decimal." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TerminatingDecimal.html

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