The correct hierarchy of number sets within the real number system from largest to smallest is:
rational numbers, integers, whole numbers, natural numbers
So, the first choice fits this description perfectly. Here’s a brief explanation of the relationships:
- Rational Numbers: Includes all integers, whole numbers, and fractions.
- Integers: Whole numbers and their negative counterparts (includes natural numbers).
- Whole Numbers: Includes all natural numbers and zero.
- Natural Numbers: Positive integers (1, 2, 3, ...).
Therefore, the accurate hierarchy is: rational numbers, integers, whole numbers, natural numbers.