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

Question

options:

natural numbers, whole numbers, integers, rational numbers
natural numbers, whole numbers, integers, rational numbers

integers, rational numbers, natural numbers, whole numbers
integers, rational numbers, natural numbers, whole numbers

irrational numbers, square roots, endless decimals, pi
irrational numbers, square roots, endless decimals, pi

rational numbers, integers, whole numbers, natural numbers

Answer 1

The accurate hierarchy of number sets within the real number system from largest to smallest is as follows:

1. Real Numbers (which include all of the following)
   • Rational Numbers (which can be further divided into)
     • Integers (which can be further divided into)
       • Whole Numbers (which can be further divided into)
         • Natural Numbers

Therefore, the correct ordering from the provided options is:

rational numbers, integers, whole numbers, natural numbers

This reflects the correct hierarchy, as each subsequent set is a subset of the preceding set.