Question

To which sets of real numbers does zero belong?(1 point)
Responses

Answer 1

Zero belongs to several sets of real numbers, including:

1. **Natural Numbers (ℕ)** - If considering the set of natural numbers that includes zero: {0, 1, 2, 3, ...}.
2. **Whole Numbers** - This set typically includes zero and all positive integers: {0, 1, 2, 3, ...}.
3. **Integers (ℤ)** - The set of all whole numbers, both positive and negative, including zero: {..., -2, -1, 0, 1, 2, ...}.
4. **Rational Numbers (ℚ)** - Since zero can be expressed as a fraction (0/1), it belongs to the set of rational numbers.
5. **Real Numbers (ℝ)** - Zero is also a real number, and therefore belongs to the set of real numbers.

In summary, zero belongs to the sets of natural numbers (if defined to include zero), whole numbers, integers, rational numbers, and real numbers.