Using VERTICALLY AND CROSSWISE you do not need the multiplication tables beyond 5 X 5

Suppose you need 8 x 7
8 is 2 below 10 and 7 is 3 below 10.
 
Think of it like this:


The answer is 56.
 
The diagram below shows how you get it.


You subtract crosswise 8-3 or 7 - 2 to get 5,
the first figure of the answer.
 
And you multiply vertically: 2 x 3 to get 6,
the last figure of the answer.
That's all you do:
 
See how far the numbers are below 10, subtract
one number's deficiency from the other number,
and multiply the deficiencies together.
7 x 6 = 42


Here there is a carry: the 1 in the
12 goes over to make 3 into 4.

Multply These:
1)  8 x 8 =
2)  9 x 7 =
3)  8 x 9 =
4)  7 x 7 =
5)  9 x 9 =