Our lives would be difficult to imagine without numbers. Mathematics is built on the foundation of numbers. People may feel that numbers are just one to nine-digit combinations, however, this is not the case. Numbers come in a variety of types and varieties. We can tell them apart based on any characteristic they have. If a number is divisible by two, for example, it falls into the even number category.
In the same way, there is a lot of number classification. We’ll look at two different forms of number classifications in this article. We’ll talk about rational and irrational numbers, among other things. They play a crucial role in the early stages of mathematics. As a result, students are more motivated to learn.
Rational Number:
Numbers that are studied by everyone, not only students, are referred to as rational numbers. If one looks attentively at the word rational, one will observe that it has something to do with ratio. A rational number can be written as p/q, where p and q are both integers and q never equals zero. Although it is conceivable that a person will get mixed up between rational numbers and fractions, they should be aware of the essential differences. Rational numbers are formed up of integers, whereas fractions are made up of whole numbers, as discussed earlier.
Someone who thinks a rational number can only have one kind is wrong. Rational numbers come in a wide variety. Decimal numbers can be termed rational numbers if an essential criterion is met. A type of decimal which is known as the terminating decimal is also a kind of rational number. Terminating decimals are numbers that have an end, while non-terminating decimals are numbers that never end. It’s worth noting that all integers fall under the rational number group. One can deduce that because all integers are rational numbers, all whole numbers are rational as well. A student should be familiar with rational numbers to answer problems with numbers. It is not that difficult to understand the concepts of rational numbers.
Let’s discuss the second type of number that is the irrational number.
Irrational Number:
Numbers that cannot be stated in terms of ratios are referred to as irrational numbers. In simple words, Numbers that are not rational are referred to as irrational numbers. These quantities can never be represented by a fraction. One method for determining if a number is irrational or not is to look at the decimal number. The result of certain operations on two irrational numbers can be either rational or irrational. For example, the sum of irrational numbers can result in a rational or irrational number as an answer.
Daily, we come across several examples of irrational numbers. Although square roots of 2, 3,5, and many other numbers are also irrational, Pi is one of the most well-known irrational numbers. No one can determine the values of irrational numbers since they have no finite values. For instance, Pi has an infinite value. There are many more instances like these that help us grasp irrational numbers. Students are frequently confronted with irrational numbers. As a result, children should be able to recognize rational and irrational numbers.
As discussed in this article, we sought to focus on and discuss both the concepts of irrational and rational numbers in depth. The most basic amount that students must know is numbers. Kids will have no trouble understanding higher-level mathematics issues provided their principles are clear. If students are having difficulty learning ideas directly connected to mathematics, they should seek help. They should seek assistance from the website Cuemath. Cuemath aids students in comprehending concepts and resolving issues associated with them. It is a great initiative, to help students in many competitive examinations too.