Tutorial 5
An elegant way of multiplying numbers using a simple pattern.

  • 21 x 23 = 483
  • This is normally called long multiplication but
    actually the answer can be written straight down
    using the VERTICALLY AND CROSSWISE
    formula.

    We first put, or imagine, 23 below 21:


There are 3 steps:

a) Multiply vertically on the left: 2 x 2 = 4.
    This gives the first figure of the answer.
b) Multiply crosswise and add: 2 x 3 + 1 x 2 = 8
    This gives the middle figure.
c) Multiply vertically on the right: 1 x 3 = 3
    This gives the last figure of the answer.

And thats all there is to it.

  • Similarly 61 x 31 = 1891
  • 6 x 3 = 18; 6 x 1 + 1 x 3 = 9; 1 x 1 = 1

Multiply any 2-figure numbers together by mere mental arithmetic!

If you want 21 stamps at 26 pence each you can
easily find the total price in your head.

There were no carries in the method given above.
However, there only involve one small extra step.

  • 21 x 26 = 546

The method is the same as above
except that we get a 2-figure number, 14, in the
middle step, so the 1 is carried over to the left
(4 becomes 5).