class 11 notes chapter 1

CHAPTEER 1:-BASIC MATHS


THEORY ,AARAMBH, SCHOOL LEVEL PROBLEM,
PRARAMBH , PRABAL [ JEE MAINS ] ,
PARIKHSHIT [ JEE ADVANCED LEVEL] , PYQ ,
PW CHALLENGERAS , ANSWEWER KEY
THEORY
NUMBER SYSTEM
{1} NATURAL NUMBER :- COUNTING NUMBERS ARE KNOWN AS NATURAL
NUMBER

FOR EXAMPLE :- 1 2 3 4 5 6 7 ……

SET OF NATURAL NO. IS DENOTED BY (N).

THUS , N = {1,2,3 ,4 ,5….)

{2} WHOLE NUMBER :- NATURAL NUMBER WITH ZERO ARE KNOWN AS
WHOLE NUMBER

FOR EXAMPLE :- 0 1 2 3 4 5 6 7 8………

SET OF WHOLE NUBER IS DENOTED BY W

THUS , W ={ 0,1 ,2,3,4,5…..}

{3] INTEGER:- THE NUMBERS … -3,-2,-1,0,1 2 3….ARE CALLED INTEGERS
AND THEIR SET IS DENOTED BY (I) OR (Z) .

FOR EXAMPLE :- I/Z ={..-2,-1,0,1,2…}

{4} PRIME NUMBER :- NATURAL NUMBERS WHICH ARE DIVISIBLE BY 1 AND
ITSELF ARE CALLED PRIME NUMBERS.

FOR EXAMPLE :- 2, 3 , 5 , 7 ,……

{5} COMPOSITE NUMBER:- NATURAL NUMBER HAVING ATLEAST 3 FACTOR
ARE CALLED COMPOSITE NUMBER .

FOR EXAMPLE :- 4 6 8 9 …..