The number \(-37\) can be classified as follows:
- Integer: Yes, \(-37\) is an integer because it is a whole number that can be positive, negative, or zero.
- Rational Number: Yes, \(-37\) is a rational number because it can be expressed as a fraction \(-37/1\).
The other classifications do not apply:
- Natural Number: No, natural numbers are positive integers (1, 2, 3, ...), so \(-37\) does not qualify.
- Whole Number: No, whole numbers include non-negative integers (0, 1, 2, 3, ...), so \(-37\) does not qualify.
- Irrational Number: No, irrational numbers cannot be expressed as a simple fraction and \(-37\) can.
- Imaginary Number: No, imaginary numbers are multiples of \(i\) (the imaginary unit) and \(-37\) is not one of those.
Therefore, the applicable classifications for \(-37\) are:
- Integer
- Rational Number