After all the other theoretical threads, let’s do something practical.

Sometimes the best way of multiplication might elude one for a minute.

Today, I had to calculate 52 times 45.

At first I thought, well, the numbers are close together, so the ‘base’ system might yield results fast.

If we would take 50 as the base, here is how this would play out:

(50 + 2) * (50 - 5)

= 50 * 50 + 50(2 - 5) -2 * 5

= 2500 - 150 - 10

= 2340

But I did not do that.

All of a sudden I realised I could rewrite 52X45 as 26X90 and continue from there:

26* 90

= 260* 9

=2600-260

=2340

Moral of the story; don’t always use the same algorithm.

Think first whether there is an even easier way to get to the result!