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Is 99 an irrational number?\newlineChoices:\newline(A) yes\newline(B) no

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Identify rational and irrational numbersright chevron icon

Full solution

Q. Is 99 an irrational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Definition of Irrational Number: Understand the definition of an irrational number. An irrational number is a number that cannot be expressed as a fraction of two integers, where the denominator is not zero. It has a non-terminating and non-repeating decimal expansion.
  2. Determine Fraction of 99: Determine if 99 can be expressed as a fraction of two integers.\newlineThe number 99 can be expressed as the fraction 91\frac{9}{1}, where both 99 and 11 are integers, and the denominator is not zero.
  3. Check Decimal Expansion: Check if the decimal expansion of 99 is non-terminating and non-repeating.\newlineThe number 99 has a simple decimal representation, which is 9.09.0 or just 99. This is a terminating decimal, which means it does not continue indefinitely.
  4. Conclude 99 is Irrational: Conclude whether 99 is an irrational number based on the previous steps.\newlineSince 99 can be expressed as a fraction of two integers and has a terminating decimal expansion, it is not an irrational number. Therefore, the correct answer is (B) no.

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