Theory:

Rules for subtracting two integers
  • First, change the sign of the subtrahend(second number) into the opposite.
  • Then, change the operation subtraction to addition.
  • Finally, apply the addition rule for integers.
Example:
1. Subtract \(2\) from \(-5\).
 
Step 1: The opposite of \(2\) is \(-2\). Change \(2\) into \(-2\) .
 
\((-5) - (-2)\).
 
Step 2: Now, change the operation subtraction into addition.
 
\((-5) + (-2)\).
 
Step 3: \(-5\) and \(-2\) both having same signs. Thus, add the integers and keep the sign same.
 
\((-5) + (-2) = -7\).
 
Therefore, \((-5) - 2 = (-5) + (-2) = -7\).
 
 
2. Find the difference of the integers \((-16)\) and \((-14)\).
 
Step 1: The opposite of \(-14\) is \(14\). Change \(-14\) into \(14\).
 
\((-16) - (14)\).
 
Step 2: Now, change the operation subtraction into addition.
 
\((-16) + (14)\).
 
Step 3: \(-16\) and \(14\) both having different signs.
 
Now, by the addition rule, subtract the integers and put larger number sign.
 
\((-16) + 14 = -2\).
 
Therefore, \((-16) - (-14) = (-16) + (14) = -2\).