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Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)

Responses

natural numbers, whole numbers, integers, rational numbers

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

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

integers, rational numbers, natural numbers, whole numbers

1 answer

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

rational numbers, integers, whole numbers, natural numbers.

So the correct response is:

rational numbers, integers, whole numbers, natural numbers.

This is because:

  • Rational numbers include all integers and fractions (including whole numbers and natural numbers).
  • Integers include whole numbers and their negatives.
  • Whole numbers include natural numbers and zero.
  • Natural numbers are the counting numbers starting from 1 (or 0 if we consider whole numbers in some definitions).