Problem 42 - Introductory Algebra for College Students

Question

Give an example of a number that is a rational number, an integer, and a real number.

Step-by-Step Solution

Answer

An example is the number 2, which is an integer that can be expressed as the rational number \( \frac{2}{1} \) and is also a real number.

Step 1: Identify an Integer

First choose any Integer. As an example, we'll use the number 2.

Step 2: Show that the number is also a Rational number

Next, show that the chosen number is also a Rational Number. The number 2 can be expressed as the fraction \( \frac{2}{1} \). Therefore, it is a Rational Number.

Step 3: Show that the number is a Real Number

Finally, show that the selected number is a Real Number. Every Integer is a Rational Number, and every Rational Number is a Real Number. Therefore, the selected number 2 is a Real Number.