Question

To which sets of real numbers does zero belong?(1 point)
A. Whole numbers, integers, and irrational numbers
B. Natural numbers, integers, and irrational numbers
C. Whole numbers, integers, and rational numbers
D. Natural numbers, integers, rational numbers

Answer 1

The correct answer is:

C. Whole numbers, integers, and rational numbers

Explanation:
- Whole numbers: \(0, 1, 2, 3, \ldots\) (includes zero)
- Integers: \(\ldots, -2, -1, 0, 1, 2, \ldots\) (includes zero)
- Rational numbers: Any number that can be expressed as a fraction \(\frac{a}{b}\) where \(a\) and \(b\) are integers and \(b \neq 0\) (zero can be expressed as \(\frac{0}{1}\))

Zero does **not** belong to:
- Natural numbers: \(1, 2, 3, \ldots\) (does not include zero)
- Irrational numbers: Numbers that cannot be expressed as a fraction of two integers (e.g., \(\sqrt{2}, \pi\), etc.)

Thus, option C is the only set that includes zero.