Integers And Absolute Values

Integers And Absolute Values

Substraction of Integers
Substraction of any two integers a and b is .
The substraction of Integers follows the rules of signs:-
i) \( a - ( + b) = a - b \)        ii)\( a - ( - b) = a + b \)
iii)\( a + ( - b) = a - b \)       iv)\( a + ( + b) = a + b \) 

Case -I Substraction of any two prositive Integers takes the sign of greatest Integers
E.X. :-7-2=5 here 5 gets the sign of 7 and the number line it is represented as follows:

i.e 7-2 means 2 units to left of 7

Case -II Substraction of two  negative Integers is represented on the number line as follows 
example :- \( - 7 - ( - 2) = - 7 + 2 = - 5 \)

i.e.  follows the rule of sign and becomes -7+2 which is equal to 2 units to the right of (-7) on the number line.

Case-III :- substraction of a positive Integers from a negative Integer is represented as follows :-
eg :- \( - 7 - ( + 2) = - 7 - 2 = - 9 \)

i,e. 7-2 means 2 units to the left of -7 and gives -9