Question

Classify the number below. Select ALL classifications that apply. −37−37 (2 points) Responses Natural Number Natural Number Whole Number Whole Number Integer Integer Rational Number Rational Number Irrational Number Irrational Number Imaginary Number Imaginary Number

Answer 1

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