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Q.

The decimal representation of a rational number is


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a

always terminating

b

either terminating or repeating

c

either terminating or non-repeating

d

neither terminating nor repeating 

answer is B.

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Detailed Solution

In terms of decimal expansions, rational numbers are the one which are terminating or recurring.
For example, 2.3657 is a terminating decimal and hence, it is a rational number.
Similarly, 3. 14 ¯   is a repeating decimal but it can be expressed as a fraction as 311 99  .
So, it is also a rational number.
Hence, the decimal representation of a rational number is either terminating or repeating.
Hence, the correct option is (2).
 
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