Say true or false: $0.120 120012000120000$ ....is a rational number

True

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False

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Solution

The correct option is B False
Given, $0.120 120012000120000 . . . .$
Since, the decimal expansion is neither terminating nor non-terminating repeating, therefore, the given real number is not rational.
they are not rational, so we can't write of the form $\frac{p}{q}$ .

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Similar questions

Say true or false.

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Say true or false:0.120120012000120000....is a rational number

The correct option is B FalseGiven, 0.120120012000120000....Since, the decimal expansion is neither terminating nor non-terminating repeating, therefore, the given real number is not rational.they are not rational, so we can't write of the form pq.

Say true or false: $0.120 120012000120000$ ....is a rational number

The correct option is B False
Given, $0.120 120012000120000 . . . .$
Since, the decimal expansion is neither terminating nor non-terminating repeating, therefore, the given real number is not rational.
they are not rational, so we can't write of the form $\frac{p}{q}$ .