 ## 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.