Responses
The denominator must be a prime number.
The denominator must be a prime number.
The denominator must not evenly divide any power of 10.
The denominator must not evenly divide any power of 10.
The numerator must be an odd number.
The numerator must be an odd number.
The rational number must not be a mixed number.
1 answer
For a rational number to generate a repeating decimal, the correct statement is:
The denominator must not evenly divide any power of 10.
This means that if the only prime factors of the denominator (when in simplest form) are 2 and/or 5, then the decimal representation will terminate (not repeat). If the denominator has any prime factors other than 2 or 5, the decimal will repeat.
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