There are many different types of numbers. Numbers are used everywhere. Numbers are being classified into various categories according to the properties they show. We will discuss two different types of numbers in this article. Those two types of numbers are rational numbers and irrational numbers. They both are highly used in various subjects. Therefore, it is crucial for students to learn both these numbers in detail. Let us discuss both of these numbers in the article.
Rational numbers: A rational number is a sort of real number that has the form p/q where q is not equal to zero in mathematics. A rational number is nothing else but a fraction only, having non-zero denominators. 1/8, 1/6, 2/4, and so on are some instances of rational numbers. The number “0” can also be defined as a rational number. It can be represented in a specific way which indicates that it is a rational number. 0/1, 0/2, 0/3, and so on are all rational numbers. However, 1/0, 2/0, 3/0, and so on are irrational since they offer us unlimited values. Also, compare irrational numbers to rational numbers in this section.
In this post, we’ll learn about what a rational number is, its features, and kinds, the distinction between rational and irrational numbers, and some solved cases. It aids in a better understanding of the topics. Learn how to discover rational numbers in a more efficient manner by studying the many rational number instances. One can’t simply just write a rational number on a number line. We have to first convert it into decimal and then represent it on a number line.
If there are no common factors between the dividend and divisor other than one, the standard form of a rational number may be determined, and the divisor is positive. 12/36, for example, is a rational number. However, it may be reduced to 1/3 because there is only one common component between the divisor and the dividend. As a result, the rational number 13 can be said to be in standard form.
The rational number is written in the form p/q, where p and q are integers. In addition, q must be a non-zero integer. If the rational number is positive, then it means that both p, as well as q, are positive. When a rational number of the form -(p/q), either p or q has a negative value.
Irrational numbers: If a number cannot be readily furthered to any fraction of a natural number and an integer, it is deemed irrational. Irrational numbers have no finite or recurrent decimal expansion. Surds and special numbers are examples of irrational numbers. Pi () is the most prevalent form of an irrational number.
There are a few irrational numbers that are quite famous. A few of them are pi and e. Pi, as we all must have heard, is an irrational number, where its value keeps ongoing. Its value is something like 3.14 and keeps it ongoing. Similar is the case with e where it has a never-ending value. There are many more irrational numbers.
In the above article, we have discussed both rational numbers and irrational numbers. They are a crucial concept of our mathematics. One should study them in detail to understand and practice their questions. There are many platforms that are providing free quality education online. One should take help from one such platform that is Cuemath to understand such math concepts easily and do well in their academic career. Cuemath has already nurtured a number of students to do well.