Of the following numbers, which is an integer but does not belong in either of the subsets of integers: −13

, 0, or 13?(1 point)

The number -13 is an integer and does not belong in either of the subsets of integers because it is not a positive integer.

Which of the following is an integer but not a whole number: 0, −2

, 7, 783?(1 point)

The number -2 is an integer but not a whole number because it is a negative integer.

thank you! You were very helpful!

You're welcome! I'm glad I could help. If you have any more questions, feel free to ask!

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

natural numbers, whole numbers, integers, rational numbers

irrational numbers, square roots, endless decimals, pi

integers, rational numbers, natural numbers, whole numbers

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

integers, rational numbers, whole numbers, natural numbers

Therefore, the correct answer is:

integers, rational numbers, natural numbers, whole numbers

Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.(1 point)

The set of real numbers that cannot be expressed as one integer divided by another are called irrational numbers. These numbers cannot be written as the ratio of two integers and they have non-repeating and non-terminating decimal representations. Examples of irrational numbers include π (pi), e (Euler's number), √2 (the square root of 2), and √3 (the square root of 3).

Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.(1 point)

negative

rational

irrational

improper