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Which of the following are rational numbers?\newlineMulti-select Choices:\newline(A) 00\newline(B)​ Ο€\pi\newline(C) 11\newline(D) 10.8110.81

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Q. Which of the following are rational numbers?\newlineMulti-select Choices:\newline(A) 00\newline(B)​ Ο€\pi\newline(C) 11\newline(D) 10.8110.81
  1. Define Rational Number: Define a rational number.\newlineA rational number is any number that can be expressed as the quotient or fractions" target="_blank" class="backlink">fraction pq\frac{p}{q} of two integers, where pp and qq are integers and qq is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.
  2. Evaluate 00: Evaluate choice (A) 00.\newlineThe number 00 can be expressed as 01\frac{0}{1}, where 00 and 11 are both integers and 11 is not zero. Therefore, 00 is a rational number.
  3. Evaluate Pi: Evaluate choice (B) Ο€\pi. The number Ο€\pi (pi) is known to be an irrational number. It cannot be expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating.
  4. Evaluate 11: Evaluate choice (C) 11. The number 11 can be expressed as 11\frac{1}{1}, where both 11's are integers and the denominator is not zero. Therefore, 11 is a rational number.
  5. Evaluate 1010.8181: Evaluate choice (D) 10.8110.81. The number 10.8110.81 is a terminating decimal, which means it can be expressed as a fraction. In this case, 10.81=108110010.81 = \frac{1081}{100}, where both 10811081 and 100100 are integers and 100100 is not zero. Therefore, 10.8110.81 is a rational number.

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