Number System Concepts With Detailed Example.-Part 1

NUMBER SYSTEM:- Arrangement of numbers in a systematic way is called NUMBER SYSTEM.

                                      Every number in a number system is taken as complex number.


                                                               COMPLEX NUMBER
                                      
                                       There are two kind of complex number.

1)Real number.
2)Imaginary number. 

1)As we know the combination of rational number and irrational number is called number system.
 And it is important to know that Real number always shown on number line.

2)We can't show imaginary number on number line.

                                                      
                                                                TYPES OF PRIME NUMBER.

1)TWIN PRIME NUMBER:-Pair of 2 prime number whose difference is two is called Twin prime number.
Example-(3,5)=>5-3=2.

2)CO-PRIME NUMBER:-Pair of 2 number whose HCF is 1.
    Example:-(3,5) (2,3)

Q-How to check number is prime or not?

Example:-191

STEPS:-1)First find the closest root of 191.
                  Its 14.

              2)14->2,,3,4,5,6,7,8,,9,10,11,12,13
                 If number is divisible by anyone of these number then it is a prime number else it is not a prime number.
      so,191 is a prime number.

*Even and odd concept

a)ADDITION CASE.

1)Even+Even=Even                                   

    2+2=4

2)Even+odd=odd

  2+1=3

3)odd+even=odd

  1+2=3

b)MULTIPLICATION CASE.

1)E*E=E

2)O*O=O

3)E*E=E

C)SUBTRACTION CASE

1)E-E=E

2)O-O=E

3)E-O=O

4)O-E=O

D)SOME OTHER CASE.

E^n=E

O^n=O

                                                       Perfect number.

Whose sum of factors except the number is equal to the number.
Example:-
28:-1
       2
       4
       7
       14
   
sum-28.


                                      Next->https://superapti.blogspot.com/2017/07/number-system-part-2divisibility-rules.html