All types of numbers in maths with examples

All types of numbers in maths with examples

Numbers are strings of digits used to indicate quantity or magnitude. They measure size – how big or small an amount is. In mathematics, there are several types of numbers in maths, each with a different use. 

there are different types of numbers as natural numbers, real numbers, integers, positive and negative numbers, rational and irrational numbers, and many more. let’s understand them all.

Types of numbers in maths

Real numbers

  • Real numbers are those that can be positive, negative, or zero, and can have decimal places or fractional parts. 
  • These numbers are used to make a complete number line and number system.
  • They are the most common numbers used in measuring quantities. Example 230.50 centimeters. They usually have units and are used in highly precise calculations. 
  • Example: 12.8, −0.865, 38, –198, 14845154.001254256412, 161567894142.2356215652642.

Integers

  • Integer numbers are positive, negative, or zero but have no decimal places or fractional parts. They are like the counting numbers but can be negative.
  • These numbers are used in day to day activities like counting whole quantities. They are like the counting numbers but can also be negative.
  • Examples: 5, 66, -22, -5565, 456456, -84592153215, 784841126102, -4616114546.

Positive numbers

  • Positive numbers are those which are greater than zero. A positive number is greater than the negative number. 
  • Example: 123, 2, 2546, 21323542, 1452611, 2531.0214, 123.0213. 

Negative numbers

  • Negative numbers are those considered to be less than zero. They can be easily understood as debt or deficit. 
  • A negative number is greater than the positive number. This includes decimal forms also. includes
  • For example, if your wallet is empty and you owe someone $12, then you can think of your wallet as having a negative $12. In a way, you have less than zero dollars.
  • Example: -2, -55, -23.05, -125.0213

Rational numbers

  • Rational numbers are those that can be denoted in the form of m/n where n is not equal to zero or as a ratio of two integers. These can be written as fractions.
  • The word ‘rational’ comes from the word ‘ratio.’ For example, the number 0.50 is rational because it can be written as the ratio ½, where 2 is not equal to the number 0. 
  • Examples: 2, 5, 3, -0.5, √9

Irrational numbers

  • Irrational numbers are those that are not rational, that is those that cannot be denoted as the ratio of two integers.
  • These numbers cannot be written or expressed in the form ratio as they are not finite decimal numbers.
  • Examples: √2, √3, √5, pi (3.14…….) repeating decimal

Imaginary numbers

  • Imaginary numbers are those numbers used to find the square root of any negative numbers, which would not normally be possible. 
  • So, for example, the square root of -4 would be written 2i, where i is the symbol for the square root of a negative one. 

Complex numbers

  • Complex numbers extend the idea to real numbers that lie on a two dimensional flat plane. 
  • These numbers always have two components, known as the real and imaginary parts.
  • Examples: 1 + 2i, 39 + 3i

Prime numbers

  • A prime number is an integer that has no factors (Integers that divides a given number without a remainder) other than one and itself.
  • In other words, it can be divided only by one and the number itself. 17 is a prime number. 16 is not because it can be divided by 2, 4, and 8 and also a square number of 4.
  • Examples: 5, 2, 17, 29

Composite numbers 

  • A composite number is a number that has many factors other than itself and 1. It does have factors.
  • It is the opposite of a prime number.
  • Examples: 6, 9, 15, 21, 36, 72, etc.

These were commonly used different types of numbers in maths. hope this article would help you to understand them better.

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