Is -11 a Rational Number- Exploring the Classification of Negative Integers in Mathematics

Is -11 a rational number? This question may seem straightforward, but it touches upon a fundamental concept in mathematics. In this article, we will explore what a rational number is, and then determine whether -11 fits this definition.

Rational numbers are a subset of real numbers that can be expressed as a fraction of two integers, where the denominator is not zero. In other words, a rational number can be written in the form a/b, where a and b are integers and b is not equal to zero. Examples of rational numbers include 1/2, 3/4, and -5/6.

Now, let’s consider the number -11. To determine if it is a rational number, we need to express it as a fraction of two integers. Since -11 is an integer, we can write it as -11/1. Here, the numerator (-11) and the denominator (1) are both integers, and the denominator is not zero. Therefore, -11 can be expressed as a fraction of two integers, making it a rational number.

In conclusion, the answer to the question “Is -11 a rational number?” is yes. This example illustrates the simplicity and clarity of the definition of rational numbers, as well as the ease with which we can apply this definition to real-world numbers.