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Closure Property of Rational Numbers

The decimal e...

Question

The decimal expansion 0.080080008000080000080000008....... is a

A

non-terminating ,non-recurring

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B

terminating ,recurring

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C

terminating ,non-recurring

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D

non-terminating ,recurring

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Solution

The correct option is A
non-terminating ,non-recurring

By observation, this decimal expansion is non-terminating non-repeating decimal expansion,

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As 16/4=4=4/1 .A rational number which can be written with denominator 1 is an integer.

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