This document discusses different types of number systems including natural numbers, whole numbers, integers, and rational numbers. It provides definitions and examples of each. It also outlines the basic rules for addition, subtraction, multiplication, and division of integers, including how the sign (positive or negative) of each integer affects the operation.

1. NUMBER SYSTEM
NUMBER ARE
• NATURAL NUMBER :1,2,3,4………..
• WHOLE NUMBER :0,1,2,3,4…………
• INTEGERS: …-3,-2,-1,0,1,2,3……….
• RATIONAL NUMBERS:THE NUMBER
REPRESENTS IN THE FORM OF P/Q ARE
CALLLED RATIONAL NUMBERS. 4/3, 6/7 ETC

2. NATURAL NUMBERS
• NATURAL NUMBERS ARE COUNTINGS 1,2,3…
• 1 IS SMALLEST NATURAL NUMBER
• THERE IS NO LARGEST NATURAL NUMBER
• LARGEST DIGIT NUMBERS ARE
9,99,999,9999 AND SO ON
• SMALLEST DIGIT NUMBERS ARE
1,10,100,1000 AND SO ON

3. INTEGERS
INTEGERS ARE THE NUMBER
WHICH AREPOSITIVE,NEGATIVE
INCLUDED ZERO
EXAMPLE :- 3, -2 , -1, 0, 1 , 2 ,3

4. NATURAL
NUMBER
1,2,3,4,5,……….
INTEGERS
…….-4,-3,-2,-1,0,1,2,3,4…….
WHOLE NUMBER
0,1,2,3,4,5,6…….
RATIONAL
NUMBERS
67,85……………

5. ADDITION OF INTEGERS
RULES FOR ADDDITION
(+)+(+)=ADDED
EXAMPLE 4+3=7
(+)+(-)=SUBSTRACTED
EXAMPLE (4)+(-3)=1
(-)+(+)=SUBSTRACTED
EXAMPLE (-4)+(3)=-1
(-)+(-)=ADDED
EXAMPLE (-4)+(-3)=-7

6. SUBSTRACTIONOF INTEGERS
RULES FOR SUBSTRACTION
(+)-(+)=SUBSTRACTED
EXAMPLE 4-3=1
(+)-(-)=ADDED
EXAMPLE (4)-(-3)=4+3=7
(-)-(+)=ADDED
EXAMPLE (-4)-(3)=-7
(-)-(-)=-
EXAMPLE (-4)-(-3)=-4+3=-1

7. MULTIPLICATION OF INTEGERS
RULES FOR MULTIPLICATION
(+)X(+)=POSITVE PRODUCT
EXAMPLE 4X3=12
(+)X(-)=NEGATIVE PRODUCT
EXAMPLE (4)X(-3)=-12
(-)X(+)=NEGATIVE PRODUCT
EXAMPLE (-4)X(3)=-12
(-)X(-)=POSITIVE PRODUCT
EXAMPLE (-4)-(-3)=12

8. DIVISION OF INTEGERS
RULES FOR DIVISION
(+) (+)=POSITVE DIVISION
EXAMPLE 12 3=4
(+) (-)=NEGATIVE DIVISION
EXAMPLE (12) (-3)=-4
(-) (+)=NEGATIVE DIVISION
EXAMPLE (-12) (3)=-4
(-) (-)=POSITIVE DIVISION
EXAMPLE (-12) (-3)=4