Responses
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.
The rational number must not be a mixed number.
The denominator must be a prime number
1 answer
For a rational number to generate a repeating decimal, the correct condition is:
The denominator must not evenly divide any power of 10.
This is because a rational number will have a terminating decimal if the simplified form of its denominator (after removing all factors of 2 and 5) is 1. If there are any other prime factors (anything other than 2 and 5), the decimal representation will be repeating.
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3 answers