Question

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 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

Answer 1

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

rational numbers, irrational numbers, integers, whole numbers, natural numbers.

However, from the options you provided, the closest correct hierarchy from largest to smallest is:

rational numbers, integers, whole numbers, natural numbers.

This means:

1. Rational Numbers include all numbers that can be expressed as a fraction (like 1/2 or 3).
2. Integers are whole numbers that can be positive, negative, or zero.
3. Whole Numbers are all non-negative integers (0, 1, 2, ...).
4. Natural Numbers are all positive integers (1, 2, 3, ...).

Therefore, the correct response from the choices provided would be:

• rational numbers, integers, whole numbers, natural numbers.