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How to find the given rational number is terminating or non-terminating without actual division ?

Asked by Abhirami Prabakar 15th December 2013, 12:47 PM
Answered by Expert
Answer:
If p/q is a rational number such that the prime factorisation of q is of the form 2n5m, where n, m are non-negative integers. Then, x has a decimal expansion which terminates.
 
In 11/12, q = 12 = 2 x 2 x 3 , which is not of the form 2n5m. Thus, this rational number has a decimal expansion which is non-terminating repeating.
Answered by Expert 15th December 2013, 1:13 PM
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