**8 - (-3) = 11
There are 2 steps to solving this problem**

**1. We change the subtraction problem to an addition problem.**

** 1st 8 -
(-3) = 11 becomes 8 + (-3) = 11**

**2. Then we change the sign of the number that immediately follows the
subtraction sign and treat the problem like an addition problem **

** 2nd 8 +
(+3) = 11**

**Think about this. If all you have is $12 but owe someone $3,
then you are worth $9. ( Debts are written as negative numbers.) So **

**$12 + (-$3 debt) = $9 **

** But someone pays your $3 debt. Someone has
taken away a $3 debt and hence
you are worth $3 more. Mathematically we can write this :**

**$12 + (-$3 debt) - (-$3 debt) = $12 +(-3) + (+$3 debt) = $12**

** In effect they are adding $3 to your wealth by
subtracting a $3 debt. So the problem changes
**

**by subtracting a debt. Remember that mathematics is a
system and the only way the system
can work in the above problem is if we change the subtraction to addition so the
problem $12 + (-$3) - (-$3) ends up $12 + ($-3) + (+$3) = $12 **