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Is −112-\frac{11}{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 −112-\frac{11}{2} an irrational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand the number −112-\frac{11}{2}: Step 11: Understand the number −112-\frac{11}{2}.−112-\frac{11}{2} is a fraction, which can be expressed as a decimal. Calculation: −11÷2=−5.5-11 \div 2 = -5.5.
  2. Determine if −5.5-5.5: Step 22: Determine if −5.5-5.5 is a terminating decimal.−5.5-5.5 ends after one decimal place, indicating it is a terminating decimal.
  3. Define irrational numbers: Step 33: Define irrational numbers. Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-terminating, non-repeating decimal expansions.
  4. Compare −5.5-5.5: Step 44: Compare −5.5-5.5 to the definition of irrational numbers.\newlineSince −5.5-5.5 is a terminating decimal, it can be expressed as a fraction −112-\frac{11}{2}.

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