Question

Demarcus says the number 24 over 6 belongs only to the set of rational numbers.Explain his error

Answer 1

Because 24/6=4,
4 is in the set of natural #'s, whole #'s, integers, real numbers, and rational numbers. Not just rational #s.

Answer 2

In mathematics, the set of real numbers (denoted by R) includes both rational numbers (positive, negative and zero) and irrational numbers.

The rational numbers are those that can be expressed as the quotient of two integers, while the irrational numbers are all the others.

On the other hand we have:

An integer is an element of the numerical set that contains the natural numbers, their opposites and the zero.

In mathematics, a natural number is any of the numbers that are used to count the elements of certain sets, as well as in elementary calculation operations. They are those natural numbers that serve to count elements so they are whole for example: 1,2,3,4,5,6,7,8,9 ... ∞

For this case we have the following number:

$\frac{24}{6}$

Rewriting the number we have:

$\frac{24}{6} = 4$

According to the definition, this number is:

Real, rational, whole and natural

Answer:

The error of Demarcus is not having rewritten the number to realize that it belongs to other sets.