Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point) Responses irrational numbers, square roots, endless decimals, pi irrational numbers, square roots, endless decimals, pi integers, rational numbers, natural numbers, whole numbers integers, rational numbers, natural numbers, whole numbers natural numbers, whole numbers, integers, rational numbers natural numbers, whole numbers, integers, rational numbers rational numbers, integers, whole numbers, natural numbers

1 answer

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

  1. Irrational Numbers
  2. Rational Numbers (which include integers, whole numbers, and natural numbers)
  3. Integers
  4. Whole Numbers
  5. Natural Numbers

So, the best response from the options you provided is:

irrational numbers, square roots, endless decimals, pi (since square roots and pi are specific examples of irrational numbers, but this option doesn't directly reflect the hierarchy clearly without additional context on the relationships).

None of the other provided options accurately capture the hierarchy in a standard form. The hierarchy should correctly focus on the broad categories rather than mixing specific examples with general categories.