Can a negative number be a rational number? This question may seem simple at first glance, but it touches upon a fundamental concept in mathematics. In this article, we will explore the definition of rational numbers, examine the nature of negative numbers, and ultimately determine whether negative numbers can indeed be classified as rational numbers.
Rational numbers are a subset of real numbers that can be expressed as a fraction of two integers, where the denominator is not equal to zero. This means that any number that can be written in the form of a/b, where a and b are integers and b is not zero, is considered a rational number. Examples of rational numbers include 1/2, 3, -4/5, and 0.
On the other hand, negative numbers are numbers that are less than zero. They are often represented with a minus sign (-) in front of the number. For instance, -1, -2, -3, and so on are all negative numbers.
Now, let’s address the main question: Can a negative number be a rational number? The answer is a resounding yes. The key to understanding this lies in the definition of rational numbers. Since rational numbers are defined as fractions of integers, negative numbers can certainly be expressed as such.
For example, consider the negative number -3. It can be written as a fraction: -3 = -3/1. Here, -3 is the numerator, and 1 is the denominator, which is a non-zero integer. Thus, -3 is a rational number. Similarly, any negative number can be expressed as a fraction with a negative numerator and a positive denominator, making it a rational number.
In conclusion, the answer to the question “Can a negative number be a rational number?” is yes. Negative numbers can indeed be classified as rational numbers, as they can be expressed as fractions of integers. This demonstrates the inclusiveness of the rational number system and its ability to encompass both positive and negative values.
