Magic Multiplier  
Knowing the multiplication tables is essential if you are to become confident with maths. The best way to achieve confidence and familiarity with the tables is simply to memorise them. This may take some time but it is well worth the effort in the long run.
However, you may find the multiplication method described below a useful (and interesting) way to work out multiplication facts for numbers 610. (You will still need to learn your multiplication tables for numbers up to 5  but that should not be too difficult.)


Imagine that the FINGERS of each hand are NUMBERED from 6 to 10 STARTING FROM YOUR THUMBS
Select the two fingers that you wish to multiply. 

Using the diagram on the right.

Here's a rhyme to help you remember.
To multiply two numbers more than five, Here's a simple way to keep your hopes alive: Put the numbers on your fingers (6 on thumbs!); Put your fingers on the pads and start the sums.
How many fingers can you count below? That's the number of the TENS, you know. Multiply the sets above the line  Add this many UNITS, you'll be fine.


Here are some examples to illustrate the method.  
To MULTIPLY 7 X 8

To MULTIPLY 8 X 6


For slightly more advanced mathematicians who need to know how it works. 

Let the number represented by the left hand be L 
Let the number represented by the right hand be R 

Let the number of fingers ABOVE the line be L_{a} 
Let the number of fingers ABOVE the line be R_{a} 

Let the number of fingers BELOW the line be L_{b} 
Let the number of fingers BELOW the line be R_{b} 

L_{a }= (10  L) 
R_{a }= (10  R) 

L_{b }= (L  5) 
R_{b }= (R  5) 

Count the "BELOW numbers" and multiply by TEN: Multiply the "ABOVE numbers" and add them to the total 

10 ( L_{b} + R_{b }) + ( L_{a} X R_{a} ) 

10 ( L  5 + R  5 ) + { ( 10  L ) X ( 10  R ) } 

10 ( L + R  10 ) + { 100  10L  10R + LR} 

10L + 10 R  100 + 100  10L  10R + LR 

L x R 

Return to the Multiplication Tables page 