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Basic Mathematics , Numbers ,



 

Digit— 

In mathematics, digits are symbols that are used to write numbers.

The number of these digits are ten which ranges from 0 to 9 which are as follows


0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 ,8 , 9 


Only these digits are used to write any number. 

Number — 

A number is formed by combining the digits. The number which consists of one digit is called a single digit number which has two digits is called two digits number. See the following example— 

2 ,5 ,3 etc — single digit numbers

43 , 55 , 86 etc— two digit numbers

143 , 455 , 786 etc three digit numbers

Kinds of Number—

The numbers are as follows-

  • Natural Number— 

The numbers which are used to count things are called natural numbers. Natural numbers range from 1 to infinity. 


1 , 2 , 3 , 4 , 5 , 6 ,7 , ......∞


  • Whole Number


If 0 is also included in the natural numbers, then all these numbers (from 0 to infinity) are called whole numbers.

 0 , 1 , 2 , 3 , 4 , 5 , 6 ,7 , ......∞


  • Integer Number— 

The combined collection of all positive and negative numbers are called integers.
Or 
All whole numbers and negative numbers are called integers.

.....-4, -3, -2, -1, 0, +1, +2, +3, +4.....


  •  Even Number— 

In natural numbers, the numbers which are divisible by 2 are called even numbers. 

2 , 4 , 6 , 8 , 10 , 12, ......∞


  • Odd Number 
In natural numbers, the numbers which are not divisible by 2 are called odd numbers.

1 , 3 , 5 ,7 , 9 , 11 , 13 ,......∞


  • Composite numbers— 


The numbers which are divisible by any number other than 1 are called composite numbers. 
or
Numbers which have factors other than 1 are called composite numbers. 
Ex 

 4, 6 , 8 , 9 , 10, 12 , 14 , 15, ....


  • Prime Numbers—    

Numbers which are not divisible by any number other than 1 and themselves are called prime numbers.
Or
Prime numbers have two factors 1 and themselves.
Ex

2 , 3 , 5 , 7 , 11 , 13 , 17 ....∞


  • Rational number—  

Numbers which are written in the form `\frac pq` are called rational numbers. Where p and q are integer and p ≠ 0.

Ex 

`\frac3\5` , `\frac{-2}3` , `\frac5{-6}`

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