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What number groups does 33 fall into?

1) Integers
2) Irrational Numbers
3) Natural Numbers
4) Whole Numbers
5) Real Numbers
6) Rational Numbers

1 Answer

6 votes

Final answer:

The number 33 is classified as an Integer, a Natural Number, a Whole Number, a Real Number, and a Rational Number. It is not an Irrational Number.

Step-by-step explanation:

The number 33 falls into several number groups, which are classifications within the real number system. Here's a breakdown considering each category you've listed:

  • Integers: 33 is an integer because it is a whole number that can be positive, negative, or zero, without any fractional or decimal part.
  • Irrational Numbers: 33 is not an irrational number because it can be expressed as a ratio of two integers (33/1) and does not have an infinite non-repeating decimal expansion.
  • Natural Numbers: 33 is a natural number because it is a positive integer used for counting and ordering.
  • Whole Numbers: 33 is a whole number as it is a nonnegative integer, and the set of whole numbers starts from zero and includes all positive integers.
  • Real Numbers: 33 is a real number because it can be found on the number line and is not an imaginary number.
  • Rational Numbers: 33 is a rational number since it can be represented by a fraction with integer numerator and nonzero integer denominator (33/1).

Therefore, 33 belongs to the number groups of Integers, Natural Numbers, Whole Numbers, Real Numbers, and Rational Numbers.

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