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

Question

(1 point)
irrational numbers, square roots, endless decimals, pi
integers, rational numbers, natural numbers, whole numbers
natural numbers, whole numbers, integers, rational numbers
rational numbers, integers, whole numbers, natural numbers

Answer 1

The correct hierarchy of number sets within the real number system, from largest to smallest, is:

rational numbers, integers, whole numbers, natural numbers.

This is because:

• Rational numbers include all fractions, which encompass integers and, by extension, whole numbers and natural numbers.
• Integers include positive and negative whole numbers (and zero).
• Whole numbers are non-negative integers (0 and natural numbers).
• Natural numbers are the set of positive whole numbers (1, 2, 3, ...).

So the last option you presented, "rational numbers, integers, whole numbers, natural numbers," is the correct choice.