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

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
Choose one

1 answer

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

rational numbers, integers, whole numbers, natural numbers

So, the first choice fits this description perfectly. Here’s a brief explanation of the relationships:

  • Rational Numbers: Includes all integers, whole numbers, and fractions.
  • Integers: Whole numbers and their negative counterparts (includes natural numbers).
  • Whole Numbers: Includes all natural numbers and zero.
  • Natural Numbers: Positive integers (1, 2, 3, ...).

Therefore, the accurate hierarchy is: rational numbers, integers, whole numbers, natural numbers.