HomeTestsSearchRankProfile
mediumMCQCompetitive Exam Practice2026Mathematics
3 attempts0% success rate1 mark

Which of the following rational numbers have a non-terminating decimal expansion?

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

A rational number written in its simplest form has a terminating decimal expansion if the prime factorization of its denominator contains only factors of and/or (i.e., of the form ). If it contains prime factors other than or that cannot be cancelled by the numerator, it has a non-terminating repeating decimal expansion.: Denominator is . (Terminating): Denominator has only and . (Terminating): Denominator contains , which does not divide . (Non-terminating): Contains a factor of in denominator. However, option C represents a purely definitive non-terminating standard configuration. Let's look closer at C: the factor clearly stays.

Practice this question

Try it yourself before checking the explanation above.

Which of the following rational numbers have a non-terminating decimal expansion?
A
B
C
D

Share This Question

Related Questions

Ready for a Full Test?

Practice with timed mock tests and track your performance across Mathematics.

Discussion