Is -10 a rational number? This question may seem simple at first glance, but it opens up a deeper exploration into the fascinating world of mathematics. In this article, we will delve into the definition of rational numbers and determine whether -10 fits the criteria.
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not equal to zero. This means that rational numbers can be written in the form p/q, where p and q are integers and q is not zero. In other words, rational numbers are those that can be represented as a ratio of two whole numbers.
Now, let’s examine the number -10. To determine if it is a rational number, we need to see if it can be expressed as a fraction of two integers. Since -10 is an integer, we can write it as -10/1. In this case, the numerator (-10) and the denominator (1) are both integers, and the denominator is not zero. Therefore, -10 can be written as a fraction, making it a rational number.
Moreover, we can further simplify the fraction -10/1 by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case. After simplification, the fraction remains -10/1, confirming that -10 is indeed a rational number.
In conclusion, the answer to the question “Is -10 a rational number?” is a resounding yes. This example illustrates the concept of rational numbers and how they can be represented as fractions of integers. By understanding the definition and properties of rational numbers, we can appreciate the beauty and intricacies of mathematics.
