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

Responses

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

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

irrational numbers, square roots, endless decimals, pi

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

This is because:

  • Rational numbers include all integers and fractions (which can be expressed as ratios).
  • Integers are whole numbers that can be positive, negative, or zero.
  • Whole numbers are non-negative integers (0, 1, 2, 3, ...).
  • Natural numbers are the positive integers (1, 2, 3, ...).

Thus, the complete accurate response is: rational numbers, integers, whole numbers, natural numbers.