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Which of the following are whole numbers?\newlineMulti-select Choices:\newline(A) 00\newline(B) Ο€\pi\newline(C) βˆ’3-3\newline(D) 6\sqrt{6}

Full solution

Q. Which of the following are whole numbers?\newlineMulti-select Choices:\newline(A) 00\newline(B) Ο€\pi\newline(C) βˆ’3-3\newline(D) 6\sqrt{6}
  1. Definition of Whole Numbers: Whole numbers are non-negative integers, which include 0,1,2,3,0, 1, 2, 3, and so on. They do not include any fractions, decimals, or negative numbers.
  2. 00 as a Whole Number: (A) 00 is a whole number because it is the first non-negative integer and is included in the set of whole numbers.
  3. Pi is not a Whole Number: (B) Ο€\pi (pi) is not a whole number. It is an irrational number, approximately equal to 3.141593.14159, and it cannot be expressed as a non-negative integer.
  4. Negative Numbers Excluded: (C)βˆ’3(C) -3 is not a whole number because it is a negative integer. Whole numbers are non-negative.
  5. Square Root of 66: (D) 6\sqrt{6} is not a whole number. It is an irrational number because the square root of 66 cannot be expressed as a fraction of two integers, and it is not a non-negative integer.

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