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Which of the following is an integer?\newlineChoices:\newline(A) 3.8883.888\ldots\newline(B) 6.016.01\newline(C) 113\frac{11}{3}\newline(D) 5-5

Full solution

Q. Which of the following is an integer?\newlineChoices:\newline(A) 3.8883.888\ldots\newline(B) 6.016.01\newline(C) 113\frac{11}{3}\newline(D) 5-5
  1. Definition of an integer: Understand the definition of an integer. An integer is a whole number that can be positive, negative, or zero, but it cannot be a fraction or a decimal that does not terminate or repeat periodically in a way that can be simplified to a whole number.
  2. Evaluate choices: Evaluate each choice to determine if it is an integer.
  3. Choice (A) 3.8883.888\ldots: Look at choice (A) 3.8883.888\ldots This is a non-terminating decimal that does not simplify to a whole number, so it is not an integer.
  4. Choice (B) 6.016.01: Look at choice (B) 6.016.01. This is a decimal number that is not a whole number, so it is not an integer.
  5. Choice (C) 113\frac{11}{3}: Look at choice (C) 113\frac{11}{3}. This is a fraction that simplifies to 3.6663.666\ldots, which is a non-terminating decimal and not a whole number, so it is not an integer.
  6. Choice (D) 5-5: Look at choice (D) 5–5. This is a whole number that is negative, which fits the definition of an integer.