In Mathematics, we come across various types of numbers, since our primary classes. Knowing these numbers, help us to do many mathematical calculations not only in schools but also in real life. The basics of Maths starts with numbers. These are the fundamentals of the subject. If we don’t learn about the numbers, we cannot do computations. So, we should first have the idea of tyes of numbers which leads the Math subject.
The numbers which we use to count anything. Suppose, there are a number of apples kept in a basket, then to count them we use numbers starting with 1 till we count the last apple. These counting numbers are 1,2,3,4,5,6,7,8,9,10 and so on.
Natural and Whole Numbers
All positive and counting numbers are natural numbers, starting from 1 and go till infinity, whereas whole numbers start from 0.
Prime and Composite Numbers
These numbers are used to describe the factors of any numbers. A prime number is a number which has only two factors 1 and number itself and a composite number has more than two factors. For example, 2 is a prime number whereas 4 is a composite number.
Even and Odd Numbers
While learning natural numbers we will come across a pattern of numbers where they are alternatively called even and odd numbers. The numbers 1,3,5,7,9,11 and so on are known as odd numbers and 2,4,6,8,10,12,...are known as even numbers. If we see the pattern, whether odd or even, the common difference between the two subsequent numbers is 2.
All the positive and negative numbers including zero on a number line are called integers. But they are not fractions.
Rational and Irrational Numbers
The numbers which are represented in the form of P/Q, where P is the numerator and Q is the denominator, are called rational numbers. Here P and Q both are integers. But the real numbers that are not rational are called irrational numbers. Both rational and irrational numbers have their own significance.
Real and Complex Numbers
The real numbers are the one which includes all the numbers which we have learned till now. They comprise of integers, natural and whole numbers, rational and irrational numbers. Whereas complex numbers are not the real numbers. They are a combination of real numbers and imaginary numbers. They are expressed in the form a+ib, where a is the real part and ib is the imaginary part. For example, 3+i2 is a complex number, where i2 = -1.
Cardinals, Ordinals and Nominals
Cardinals are the nothing but the counting numbers used to count the number of objects or people associated with a group.
The ordinal numbers are the numbers used to mention the position of a thing or a person. Suppose, Rohan holds the first rank in the final exam.
Nominals are the numbers used for identification purpose. Like, the vehicle number, player number, etc.
These were the different types of numbers which are used to solve mathematical problems and also in our daily lives. Each type of number has its own importance.