Question

Which list shows an accurate
hierarchy of number sets
within the real number system,
from largest to smallest?
natural numbers,
whole numbers,
integers, rational
numbers
rational numbers,
integers, whole
numbers, natural
numbers
integers, rational
numbers, natural
numbers, whole
numbers
irrational numbers,
square roots, endless
decimals, pi

Answer 1

To correctly represent the hierarchy of number sets within the real number system from largest to smallest, we start with the broadest category and narrow it down to the smallest specific type:

1. **Real Numbers** (includes all numbers on the number line, both rational and irrational)
- **Rational Numbers** (includes integers, whole numbers, and natural numbers)
- **Integers** (includes positive whole numbers, negative whole numbers, and zero)
- **Whole Numbers** (includes all natural numbers and zero)
- **Natural Numbers** (includes positive counting numbers, starting from 1)

Among the provided lists, the most accurate hierarchy is:

**Rational Numbers, Integers, Whole Numbers, Natural Numbers.**

This list starts from the largest category and narrows down to the smallest, accurately representing the hierarchy of number sets.