Question

what is number system

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Answer 1

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner.

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Answer 2

The collection of numbers is called the number system.

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☛ There are 7 types of numbers

$\bf \Large \hookrightarrow \: Natural \: \: Numbers$

Counting numbers like 1, 2, 3, 4 and etc , are called Natural numbers.

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$\bf \Large \hookrightarrow \: Whole \: \: Numbers$

The number that starts from 0 , is known as whole numbers.

• For Example - 0 , 1 , 2 , 3 , 4 and etc.

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$\bf \Large \hookrightarrow \: Integers$

The collection of all positive and negative numbers including 0 are called integers

For example - 2 , -3 , 0 , 1 , 5 and etc.

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$\bf \Large \hookrightarrow \: Rational \: \: Numbers$

A number that can be represented in the form p/q, where p and q are integers and q ≠ 0 , are called a rational number.

• For example - 5/9 , 7/11 , 0/1 and etc.

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$\bf \Large \hookrightarrow \: Irrational \: \: Numbers$

The numbers which are not a rational number and these numbers are not represented in the form of p/q , are called irrational numbers.

• √2 is an irrational number,

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$\bf \Large \hookrightarrow \: Complex \: \: Numbers$

Complex numbers are the numbers that are expressed in the form of a + ib where, a , b are real numbers and 'i' is an imaginary number.

• For Example 7 + 9i.

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$\bf \Large \hookrightarrow \: Imaginary \: \: Numbers$

An imaginary number is a number that, when squared, has a negative result.

• For example ✓-5 , ✓-34 and etc.

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$\bf \huge \implies \: \: Note :$

• Real numbers is a consists of all types of numbers