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.