SOME RULES OF SUBTRACTION OF INTEGERS
1) It has been known by us, for any two Integers x & y we define;
x – y = x + (-y) = x + ( Additive Inverse of y )
2) The difference between the two Integers always will be considered as an Integer. If x and y are any two integers, then (x – y) always will be considered as an Integer.
3) For any Different Integers x and y ; x – y = y - x (Not Equal).
4) If any Integers x, y, z are not all ‘0’ zero,
( x - y ) – z = x – ( y – z ) (Not Equal)
5) If x is an Integers then, x – 0 = x & 0 – x = - x
6) { - (- x) } = x, which means that the additive inverse of (- x) is (+ x)
Example. – (- 34) = (+ 34) , - (- 10) = (+ 10)
7) Addition of Two Integers = Given Integers + Other Integers ; ( x + y )
Or, Given Integers = Addition of two Integers – Other Integers ;
x = { ( x + y ) - y }
Or, Other Integers = Addition of two Integers – Given Integers ;
y = { ( x + y ) – x }