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Decimal Expansion of Rational and Irrational Numbers

Which of the ...

Question

Which of the following is an irrational number?
(a) 3.14
(b) 3.141414...
(c) 3.14444...
(d) 3.141141114...

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Solution

(d) 3.141141114...

Because 3.141141114... is neither a repeating decimal nor a terminating decimal, it is an irrational number.

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