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Question

# If a number has a non-terminating and non-recurring decimal expansion, then it is:

A
a rational number
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B
a natural number
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C
an irrational number
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D
an integer
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Solution

## The correct option is B an irrational numberA number having non-terminating and non-recurring decimal expansion is an Irrational Number.For example, π is an irrational numberand π=3.1415926535897932384626433832............Here, the number has non-terminating decimal expansion which is non-recurring.Hence, option C is correct.

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