Start by putting your hands out in front of you with your palms down.

To multiply by a number, you count over from the left how ever many groups of nine you need.  You then push over that finger.  For instance, if it is 4 X 9, you count over 4 fingers and push the 4th one down.

You count by tens until you get to the down finger (the hump) and then you count by ones on the other side of the down finger (the hump).
        10  20  30
                                        31  32  33  34  35  36                Your answer is 4 x 9 = 36!

 

Here is another example.  The problem is 8 X 9.

Start at the left and count over 8.  Push down the 8th finger.  (Count thumbs like fingers.)  Your hands will look like the following picture.

You count by tens until you get to the down finger (the hump) and then you count by ones on the other side of the down finger (the hump).

        10  20  30  40  50 60 70
                                                            71  72                Your answer is 8 x 9 = 72!

                    1x9                                        2x9                                        3x9

                    4x9                                        5x9                                        6x9

                    7x9                                        8x9                                        9x9