Classify the number below. Select ALL classifications that apply.

−37
(2 points)
Responses

Natural Number
Natural Number

Whole Number
Whole Number

Integer
Integer

Rational Number
Rational Number

Irrational Number
Irrational Number

Imaginary Number

1 answer

The number −37 can be classified as follows:

  • Integer: Yes, because integers include all whole numbers and their negatives.
  • Rational Number: Yes, because any integer can be expressed as a fraction (e.g., −37 can be written as −37/1).

It is not a natural number, whole number, irrational number, or imaginary number:

  • Natural Number: No, because natural numbers are positive integers (1, 2, 3, ...).
  • Whole Number: No, because whole numbers include non-negative integers (0, 1, 2, ...).
  • Irrational Number: No, because irrational numbers cannot be expressed as a fraction of two integers.
  • Imaginary Number: No, because imaginary numbers are in the form of a real number multiplied by the imaginary unit \(i\).

In summary, the classifications that apply to −37 are:

  • Integer
  • Rational Number