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Chapter 1: Problem 42

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

Short Answer

Expert verified
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 by step solution

01

Identify an Integer

First choose any Integer. As an example, we'll use the number 2.
02

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.
03

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.

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