Question

Which list shows an accurate hierarchy of number sets within real number system from largest to smallest

Answer 1

The hierarchy of number sets within the real number system from largest to smallest is generally arranged as follows:

1. **Real Numbers (ℝ)** - Includes all the rational and irrational numbers.
- **Rational Numbers (ℚ)** - Numbers that can be expressed as a fraction of two integers (e.g., 1/2, 3, -4).
- **Integers (ℤ)** - Whole numbers, including negative numbers, zero, and positive numbers (e.g., -3, 0, 2).
- **Whole Numbers** - Non-negative integers (0, 1, 2, 3, ...).
- **Natural Numbers (ℕ)** - Positive integers (1, 2, 3, ...).

In summary, the correct order from largest to smallest is:

**Real Numbers > Rational Numbers > Integers > Whole Numbers > Natural Numbers**.

Note: The hierarchy isn't strictly about size in value, but rather about the inclusiveness of each set within the overall structure of numbers.