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