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Will Rational Numbers Repeat?

David Miller • • 5 min read
Will Rational Numbers Repeat?

A common question is "are repeating decimals

repeating decimals
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. ... The infinitely repeated digit sequence is called the repetend or reptend.
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rational numbers?" The answer is yes!

Do rational numbers never repeat?

Rational numbers can be written or expressed as either an ordinary (terminating) decimal or as an infinite repeating decimal. Rational Numbers Examples: 5 can be written as a ratio of two numbers, 5/1. ... The decimal value never terminates.

How do you tell if a rational number will repeat or terminate?

Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.

David Miller
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David Miller

David Miller brings 15 years of experience in global economics, personal finance strategy, and market dynamics. He specializes in turning complex economic trends into actionable insights for everyday readers.