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Classify the following number as rational or irrational with justification: 1.010010001... - Mathematics

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प्रश्न

Classify the following number as rational or irrational with justification:

1.010010001...

योग

उत्तर

The given number is irrational number.

Justification: Since 1.010010001 is non-terminating non-recurring decimal number, therefore it cannot be written in the form `p/q; q ≠ 0, p, q` both are integers.

Thus, 1.010010001 is irrational.

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अध्याय 1: Number Systems - Exercise 1.2 [पृष्ठ ७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 1 Number Systems
Exercise 1.2 | Q 4. (x) | पृष्ठ ७

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