Therefore we should follow the all important rule of "change something difficult into something easy".

If we don't want to make mistakes, we should try to avoid borrowing and carrying in subtraction if at all possible.

Once again, the easiest number to subtract is zero.   It never requires us to borrow.  Therefore we need to try to end our second number, in a zero.  Let's look at an example:

The algebra for this is very straightforward.
You start with a - b and add some number n to the b, which gives a - b + n.

So you can see the answer is now too large by the amount of n.

To compensate, we simply subtract the n from the answer, which looks something like this:
(a - b + n) - n.  Since n - n = 0 we are now balanced with the correct difference, and no borrowing was necessary.

*NOTE...It might be said that this method will not work for really long numbers being subtracted, and that indeed the old borrowing and carrying method is superior for those problems. We would agree.

However, it is the small subtractions you will meet everyday that can be done quickly with this.

Once you are handy with this method perhaps 90% of your subtractions will trouble you no more.

Let's try these: