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Is −212-\frac{21}{2} 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 −212-\frac{21}{2} an irrational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand the number: Understand the given number.\newlineThe given number is −212-\frac{21}{2}, which is a fraction.
  2. Check simplest form: Determine if the fraction is in simplest form.\newlineThe fraction −212-\frac{21}{2} is already in simplest form, with a numerator of −21-21 and a denominator of 22.
  3. Analyze for rational number: Analyze the fraction to see if it is 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, with the denominator qq not equal to zero. Since –21–21 and 22 are both integers and 22 is not zero, –212–\frac{21}{2} is a rational number.
  4. Conclude rational or irrational: Conclude whether −212\frac{-21}{2} is an irrational number.\newlineSince −212\frac{-21}{2} is a rational number, it cannot be an irrational number. Therefore, the answer to whether −212\frac{-21}{2} is an irrational number is ＂no.＂

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