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Which of the following are rational numbers?\newlineMulti-select Choices:\newline(A) −10-10\newline(B) 12\frac{1}{2}\newline(C) 22\newline(D) 00

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Q. Which of the following are rational numbers?\newlineMulti-select Choices:\newline(A) −10-10\newline(B) 12\frac{1}{2}\newline(C) 22\newline(D) 00
  1. Define rational number: Define a rational number. A rational number is any number that can be expressed as the quotient or fraction pq\frac{p}{q} of two integers, where q≠0q \neq 0. Rational numbers include integers, fractions, and terminating or repeating decimals.
  2. Evaluate −10-10: Evaluate choice (A) –10–10.\newlineThe number –10–10 is an integer, and all integers are rational because they can be expressed as a fraction where the denominator is 11 (–10/1)(–10/1).
  3. Evaluate 12\frac{1}{2}: Evaluate choice (B) 12\frac{1}{2}.\newlineThe number 12\frac{1}{2} is already in the form of a fraction with integers in the numerator and denominator, and the denominator is not zero. Therefore, 12\frac{1}{2} is a rational number.
  4. Evaluate 22: Evaluate choice (C) 22. The number 22 is an integer, and as previously stated, all integers are rational because they can be expressed as a fraction with a denominator of 11 (2/12/1).
  5. Evaluate 00: Evaluate choice (D) 00. The number 00 is an integer, and it is rational because it can be expressed as 01\frac{0}{1}, which is a valid fraction with an integer numerator and a non-zero integer denominator.

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