Question

Classify each number by the subsets of the real numbers to which it belongs.

Answer 1

The numbers by the subsets of real numbers are

• Rational = 8/3, 0.5 and -6.25
• Irrational = -√7
• Integer = 2

Classifying the numbers by the subsets of real numbers

From the question, we have the following parameters that can be used in our computation:

8/3, -√7, 0.5, -6.25 and 2

By definition:

• Rational numbers are numbers that can be expressd as fractions of integers
• Irrational numbers are numbers that cannot be expressd as fractions of integers
• Integers are numbers without decimal points

Using the above as a guide, we have the following:

Rational = 8/3, 0.5 and -6.25, Irrational = -√7 and Integer = 2

Answer 2

Explanation:

We have the following numbers:

`(8)/(3),-√(7),0.5,-6.25,2`

We classify each of these numbers using the following image:

Also keep in mind, that the whole numbers are the case when 0 is included in the natural numbers and irrational numbers do not meet the conditions for rational numbers (a/b).

Therefore:

`\begin{gathered} (8)/(3)\rightarrow\text{ Real, Rational } \\ \\ -√(7)\rightarrow\text{ Real, Irrational } \\ \\ 0.5\rightarrow\text{ Real, Rational } \\ \\ -6.25\rightarrow\text{ Real, Rational } \\ \\ 2\rightarrow\text{ Real, Rational, Integer, Whole, Natural} \end{gathered}`

Therefore, the correct answer is the 3rd option