the irrational number between 2 and 2.5 is (a) always terminating (b) Either terminating or repeating(c) Either terminating or non repeating (d)Neither terminating nor repeating
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d) Neither terminating nor repeating
Step-by-step explanation:
The decimal representation of any irrational number is necessarily non-terminating.
However, the converse is not true. 1/3 for example has a non-terminating decimal representation, but it is a rational number.
Only if the decimal representation is both non-terminating and non-repeating is it a representation of an irrational number.
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