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Is 54\frac{5}{4} a real number?\newlineChoices:\newline(A) yes\newline(B) no

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Identify rational and irrational numbersright chevron icon

Full solution

Q. Is 54\frac{5}{4} a real number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define real number: Understand the definition of a real number.\newlineA real number is any number that can be found on the number line, including both rational and irrational numbers. Rational numbers are those that can be expressed as the quotient or fraction pq\frac{p}{q} of two integers, where q≠0q \neq 0.
  2. Check 54\frac{5}{4} definition: Determine if 54\frac{5}{4} fits the definition of a real number.\newline54\frac{5}{4} is a fraction where the numerator is 55 and the denominator is 44. Both 55 and 44 are integers, and the denominator 44 is not zero.
  3. Confirm 54\frac{5}{4} is real: Conclude if 54\frac{5}{4} is a real number based on its properties.\newlineSince 54\frac{5}{4} is a fraction of two integers with a non-zero denominator, it is a rational number. All rational numbers are real numbers.

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