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Chapter 0: Problem 42

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

Short Answer

Expert verified
For instance, the number 2 is an example of a number that is both a rational number, an integer, and a real number.

Step by step solution

01

Understand Definitions

First, recall the definitions of rational numbers, integers, and real numbers. A rational number is one that can be expressed as a fraction where both the numerator and the denominator are integers. An integer is a whole number that can be either positive, negative, or zero. Real numbers include all rational and irrational numbers.
02

Find Intersection of All Three Categories

Now, consider the intersection of all three categories. While a rational number is not necessarily an integer (for instance, 1/2 is a rational number but not an integer), all integers are certainly rational numbers (for instance, 2 can be written as 2/1). As both rational numbers and integers are contained within the real numbers, any integer will therefore serve as an example of a number that is a rational number, an integer, and a real number.
03

Choose an Example

Based on understanding of aforementioned definitions, now choose an example. Any integer, such as 1, 2, -3, 0, etc., can rightfully serve as an example

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