Question

Which one of the following has a non terminating decimal representation?
(a) 4/45 (b) 9/1280 (c) 5/8 (d) 1/2

Answer 1

Answer:

(a)4/45

Step-by-step explanation:

The numbers whose denominators can be factorised in the form of 2^n*5^m where n and m are non negative integers are terminating integers. when the denominator of 4/45 ,45, is factorised we get the prime number 3 other than 2 and 5. Therefore according to the given criteria, it becomes non terminating recurring number.

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