The hierarchy of number sets within the real number system from largest to smallest is as follows:
- Complex Numbers (including both real and imaginary parts)
- Real Numbers (including all rational and irrational numbers)
- Rational Numbers (including integers and fractions)
- Integers (positive, negative whole numbers, and zero)
- Whole Numbers (non-negative integers, including zero)
- Natural Numbers (positive integers, starting from 1)
- Whole Numbers (non-negative integers, including zero)
- Integers (positive, negative whole numbers, and zero)
- Rational Numbers (including integers and fractions)
So, if we only focus on the real number system itself, the hierarchy is:
Real Numbers > Rational Numbers > Integers > Whole Numbers > Natural Numbers
If you include complex numbers, the hierarchy starts with complex numbers at the top.