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

1 answer

The correct order from largest to smallest for the number sets within the real number system is:

  1. Irrational Numbers
  2. Rational Numbers
  3. Integers
  4. Whole Numbers
  5. Natural Numbers

Given the responses you provided, the closest to this hierarchy would be:

  • Irrational numbers
  • Rational numbers
  • Integers
  • Whole numbers
  • Natural numbers

Therefore, the most accurate response from the options provided is:

Irrational numbers, rational numbers, integers, whole numbers, natural numbers.

If this specific ordering is not explicitly listed in your choices, then simply numbering them based on their relationship within the hierarchy would suffice! Note that square roots and endless decimals are not separate categories but rather can fall under irrational or rational numbers. Pi is an example of an irrational number.