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Is 2.7922.792 a rational number?\newlineChoices:\newline(A) yes\newline(B) no

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Identify rational and irrational numbersright chevron icon

Full solution

Q. Is 2.7922.792 a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define rational number: Understand the definition of a rational number.\newlineA rational number is any number that can be expressed as the quotient or fraction pq\frac{p}{q} of two integers, where pp and qq are integers and qq is not zero. Rational numbers can be either terminating or repeating decimals.
  2. Analyze given number: Analyze the given number, 2.7922.792. 2.7922.792 is a decimal number with three digits after the decimal point. It is a terminating decimal because it does not go on infinitely and does not have a repeating pattern.
  3. Determine fraction form: Determine if 2.7922.792 can be written as a fraction.\newlineSince 2.7922.792 is a terminating decimal, it can be expressed as a fraction. To convert it to a fraction, we can write it as 27921000\frac{2792}{1000}, which is the fraction form of the decimal.
  4. Conclude rational number: Conclude whether 2.7922.792 is a rational number.\newlineSince we have expressed 2.7922.792 as a fraction (27921000\frac{2792}{1000}), and both the numerator and the denominator are integers with the denominator not being zero, 2.7922.792 is indeed a rational number.

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