ts on the other
hand. The total tens added to this last named sum will give the
product desired. Thus: Referring to above picture or to your hands
we find three tens on the left hand and four tens on the right,
which would be 70. We also find two units on the left hand and one
on the right. Two times one are two, and 70 plus 2 equals 72, or
the product of 8 times 9.

Supposing 6 times 6 were the figures. Put your thumbs together;
there are no fingers above, so the two thumbs represent two tens
or 20; below the thumbs are four units on each hand, which would
be 16, and 20 plus 16 equals 36, or the product of 6 times 6.

[Illustration: "6 Times 6" "10 Times 7"]

Supposing 10 times 7 is desired. Put the little finger of the left
hand against the first finger of the right hand. At a glance you
see seven tens or 70. On the right hand you have three units and
on the left nothing. Three times nothing gives you nothing and 70
plus nothing is 70.

In the second numbering, or numbers above 10, renumber your
fingers; thumbs, 11; first fingers, 12, etc. Let us multiply 12 by
12.

Put together the tips of the fingers labeled 12. At a glance you
see four tens or 40. At this point we leave the method explained
in Case 1 and ignore the units (lower fingers) altogether. We go
back to the upper fingers again

[Illustration: "12 Times 12"]

and multiply the number of upper fingers used on the one hand by
the number of upper fingers used on the other hand, viz., 2 times
2 equals 4. Adding 4 to 40 gives us 44. We now add 100 (because
anything over 10 times 10 would make over 100) and we have 144,
the product of 12 times 12.

The addition of 100 is arbitrary, but being simple it saves time
and trouble. Still, if we wish, we might regard the four upper
fingers in the above example as four twenties, or 80, and the six
lower fingers as six tens, or 60; then returning to the upper
fingers and multiplying the two on the right hand by the two on
the left we would have 4; hence 80 plus 60 plus 4 equals 144;
therefore the rule of adding the lump sum is much the quicker and
easier method.

Above 10 times 10 the lump sum to add is 100; above 15 times 15 it
is 200; above 20 times 20, 400; 25 times 25, 600, etc., etc., as
high as you want to go.

In the third numbering to multiply above 15 renumber your fingers,
beginning the thumbs with 16, first finger 17, and so on. Oppose
the proper finger tips as before, the upper fingers represen