Question

tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers.
-8
select all sets in which the number -8 is an element
a. real numbers
b. whole numbers
c. irrational numbers
d. integers
e. rational numbers
f. natural numbers

Explanation:

1. Real numbers: All rational and irrational numbers are real numbers. -8 is a rational number, so it is a real number. So option A is correct.
2. Whole numbers: Whole numbers are non - negative integers (0, 1, 2, 3,...). -8 is negative, so it is not a whole number. Option B is incorrect.
3. Irrational numbers: Irrational numbers cannot be expressed as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q

eq0$. -8 can be written as $\frac{- 8}{1}$, so it is rational, not irrational. Option C is incorrect.

1. Integers: Integers include positive integers, negative integers, and zero. -8 is a negative integer, so it is an integer. Option D is correct.
2. Rational numbers: A rational number can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers and $q

eq0$. -8 can be written as $\frac{-8}{1}$, so it is a rational number. Option E was not checked correctly before, it should be checked.

1. Natural numbers: Natural numbers are positive integers (1, 2, 3,...). -8 is negative, so it is not a natural number. Option F is incorrect.

Answer:

A. real numbers
D. integers
E. rational numbers