[Math] Subtraction by addition

arithmetic

Can anyone explain to me "subtraction by addition" in a visual way?

The steps say:

  1. Take the "complement" of the number we are subtracting
  2. Add it to to the number we are subtracting from
  3. Discard the extra "1" on the left

Example: $9 – 7$

  1. $7$'s complement is $3$
  2. Therefore $9 + 3 = 12$
  3. We discard the $1$ on the left and the answer is $2$

I don't understand how it actually works. Please help me to understand it.

Best Answer

$$9-7=9-(10-3)=9+3-10=12-10=2$$