what are the sign conversions and rules of subtracting in integers?  

Dear Student ,
 
Please find below the solution to the asked query :
 
  1.  The basic rule to subtract integers is to add the additive inverse of the integer that is being subtracted to the other integer.
  2.  Steps to subtract integers are given below:


Step 1: Find the additive inverse of the integer that is being subtracted.

Step 2: Add the additive inverse of the integer to be subtracted to the other given integer.

3. We use additive inverse to subtract integers because it is easier to add the additive inverse of the integer being subtracted to the other integer. Otherwise we have to multiply the integers, which is not taught in your grade.



There are two basic rules for sign.

(1) When both numbers are of same sign then we add the numbers and take the same sign to the result.
Examples:
 2+3=5
-2-3=-5

(2) When two numbers are of opposite signs then we subtract them and take the sign of the number whose magnitude is bigger to the final result.
Examples:
2-3=-1 (because 3 is big and it is negative)
3-2=1 (because 3 is big and it is positive)

 
Hope this information will clear your doubts about the topic .
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Regards

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