We use numbers in our day to day life. Without numbers, we would not know what date, time, understanding the value of money and more things. In this article, we will discuss the definition of the number, types of numbers, number series and list of numbers in detail.

Number Definition

A number is an arithmetic value used for representing the quantity and used in making calculations. A written symbol like “3” which represents a number is known as numerals. A number system is a writing system for denoting numbers using digits or symbols in a logical manner. The numeral system

  • Represents a useful set of numbers
  • Reflects the arithmetic and algebraic structure of a number
  • Provides standard representation

Number System

The numbers can be classified into sets is known as the number system. The different types of numbers in maths are

  • Natural Numbers: Natural numbers are known as counting numbers that contain the positive integers from 1 to infinity. The set of natural numbers is denoted as “N” and it includes N = {1, 2, 3, 4, 5, ……….}
  • Whole Numbers: Whole numbers are known as non-negative integers and it does not include any fractional or decimal part. It is denoted as “W” and the set of whole numbers includes W = {0,1, 2, 3, 4, 5, ……….}
  • Integers: Integers are the set of all whole numbers but it includes a negative set of natural numbers also. “Z” represents integers and the set of integers are Z = { -3, -2, -1, 0, 1, 2, 3}
  • Real Numbers: All the positive and negative integers, fractional and decimal numbers without imaginary numbers are called real numbers. It is represented by the symbol “R”.
  • Rational Numbers: Any number that can be written as a ratio of one number over another number is written as rational numbers. This means that any number that can be written in the form of p/q. The symbol “Q” represents the rational number.
  • Irrational Numbers: The number that cannot be expressed as the ratio of one over another is known as irrational numbers and it is represented by the symbol ”P”.
  • Complex Numbers: The number that can be written in the form of a+bi where “a and b” are the real number and “i” is an imaginary number is known as complex numbers “C”.
  • Imaginary Numbers: The imaginary numbers are the complex numbers that can be written in the form of the product of a real number and the imaginary unit “i”

Numbers in Words

The list of numbers in words from 1 to 100 is given below:

Numbers in Words

Number Series

In mathematics, the number series consists of a series of numbers in which the next term is obtained by adding or subtracting the constant term to the previous term. For example, consider the series 1, 3, 5, 7, 9, … In this series, the next term is obtained by adding the constant term “2” to the previous term. There are different types of number series namely,

  • Perfect Square series
  • Two-stage type series
  • The odd man out series
  • Perfect cube series
  • Geometric series
  • Mixed series

To know more about numbers and number system in mathematics, register with BYJU’S – The Learning App to learn with ease.