Ask a New Question
Menu

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 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 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:

Real numbers > Rational numbers > Integers > Whole numbers > Natural numbers

Therefore, the most accurate response from the options provided would be:

Rational numbers, Integers, Whole numbers, Natural numbers

However, none of the provided options perfectly match this hierarchy. Based on the closest matches, the following set could represent a hierarchy:

  1. irrational numbers include non-repeating, non-terminating decimals
  2. rational numbers include all fractions (positive and negative) as well as integers.
  3. integers include whole numbers and their negatives.
  4. whole numbers include zero and natural numbers
  5. natural numbers include positive integers.

So none of the responses perfectly fit, but the most accurate realization of the hierarchy would generally respect the correct relationships between these sets.