I will assume that you know your multiplication table reasonably well up to 10x10.
Try this:
* Take 15 x 13 for an example.
* Always place the larger number of the two on top in your mind.
* Then draw the shape of Africa mentally so it covers the 15 and the 3 from the 13 below.
Those covered numbers are all you need.
* First add 15 + 3 = 18
* Add a zero behind it (multiply by 10) to get 180.
* Multiply the covered lower 3 x the single digit above it the "5" (3x5= 15)
* Add 180 + 15 = 195.
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