How Many Types Of Numbers Are There In Maths?

There are 10 types of numbers in maths: natural number, prime number, composite number, whole number, integers, rational number, irrational number, real number, imaginary number and complex number.

All positive numbers from 1 to infinity are considered natural numbers and are also a part of the number system. Because they don't include zero or negative numbers, natural numbers are also called counting numbers.

The prime number refers to a natural number greater than 1 and is not the product of two smaller natural numbers.

Composite numbers can be described as natural numbers that have more than two factors(other than 1 and the number itself).

All natural numbers and 0 are included in the category of whole numbers. They are a set of real numbers which exclude negative numbers, decimals, and fractions. Numbers used for counting are also regarded as whole numbers.

The collection of whole numbers and negative numbers is known as an integer. They do not include the fractional part. Thus we can define integers as numbers that can be positive, negative, or zero, but they cannot be fractional.

Any number that can be expressed in the form p/q, where p and q are integers, q is not equal to 0, and p is an integer that can be positive, negative, or even zero, is considered a rational number.

Irrational numbers are defined as numbers that can be in decimal form but cannot be expressed in fractional form, i.e. p/q form. The reason is that there are countless repeating and non-repeating terms after the decimal point.

The combination of both rational and irrational numbers is known as a real number. They are represented by the letter "R" and can be either positive or negative. This category includes all-natural integers, decimals, and fractions.

Imaginary numbers produce a negative square root when multiplied by themselves. In other words, imaginary numbers have no known value and are represented by the square root of negative numbers. Most of the time, it is expressed as real numbers multiplied by an imaginary unit called "i."

Complex numbers are those expressed as a+ib, where a, and b are real numbers, and i is an imaginary number.