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Is 2.555…2.555\ldots a rational number?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Is 2.555…2.555\ldots a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand Number 2.5552.555: Step 11: Understand the nature of the number 2.5552.555... 2.5552.555 implies that the number 2.5552.555 continues indefinitely without repeating a specific pattern.
  2. Define Irrational Numbers: Step 22: Define irrational numbers. Irrational numbers are numbers that cannot be expressed as a fraction of two integers and have non-terminating, non-repeating decimal expansions.
  3. Compare to Definition: Step 33: Compare 2.555…2.555\ldots to the definition of irrational numbers.\newlineSince 2.555…2.555\ldots does not terminate or repeat, it fits the definition of an irrational number.

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