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Which of the following describe 117\frac{11}{7}? Select all that apply.\newlineMulti-select Choices:\newline(A) natural number\newline(B) rational number\newline(C) whole number\newline(D) irrational number

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Q. Which of the following describe 117\frac{11}{7}? Select all that apply.\newlineMulti-select Choices:\newline(A) natural number\newline(B) rational number\newline(C) whole number\newline(D) irrational number
  1. Natural Number Check: Determine if 117\frac{11}{7} is a natural number.\newlineNatural numbers are the set of positive integers starting from 11, 22, 33, and so on. Since 117\frac{11}{7} is a fraction and not an integer, it cannot be a natural number.
  2. Rational Number Check: Determine if 117\frac{11}{7} is a rational number.\newlineRational numbers are numbers that can be expressed as the quotient or fraction pq\frac{p}{q} of two integers, where q≠0q \neq 0. Since 1111 and 77 are both integers and 77 is not zero, 117\frac{11}{7} is a rational number.
  3. Whole Number Check: Determine if 117\frac{11}{7} is a whole number.\newlineWhole numbers are the set of non-negative integers, including 00, 11, 22, 33, and so on. Since 117\frac{11}{7} is a fraction and not a whole number, it cannot be a whole number.
  4. Irrational Number Check: Determine if 117\frac{11}{7} is an irrational number.\newlineIrrational numbers are numbers that cannot be expressed as a simple fraction. Since 117\frac{11}{7} is already expressed as a simple fraction, it is not an irrational number.

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