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  Understanding the Theory of Expounded Numbers

 We will talk frequently in terms of numbers and their meaning in the 
 bible.  We have formed a theory of expounded numbers (expounded means: 
 to explain or clarify).  This theory is based on the simplest form of 
 addition that we will now explain in detail.

              Think of numbers as a unit in this exercise.
   
            A pyramid structure will be used for simplicity:


                       X           1 (one unit)

                      X X          2 (two units)

                     X X X         3 (three units) 

                    X X X X        4 (four units)   

                   X X X X X       5 (five units)     

                  X X X X X X      6 (six units)        

                 X X X X X X X     7 (seven units)        

                X X X X X X X X    8 (eight units)       

               X X X X X X X X X   9 (nine units)         

              X X X X X X X X X X  10(ten units)      



        O.K. Lets look at the first three rows of the pyramid:

                     X   1 (one unit = one unit)

                    X X  2 (two units = a total of three units) 

                   X X X 3 (three units = a total of six units)

How is it that three units equals six units? Count how many X's there are. . .



             So, at number 8 how many total units are there?

                              ADD THEM UP:

                                  X

                                 X X 

                                X X X 

                               X X X X 

                              X X X X X 

                             X X X X X X
  
                            X X X X X X X

                           X X X X X X X X

            THERE ARE A TOTAL OF 36 X'S IN THE ABOVE EXAMPLE.

                               8 = 36


  Another easy way of adding this way is to take a calculator and add

  1 + 2 + 3 + 4 + 5 . . . and use the numbers that appear as answers.

  Here is a table for numbers 1 through 9 (the simple numbers).

                             ONE     1 +       
                             TWO     2 = 3  
                             THREE   3 = 6 
                             FOUR    4 = 10
                             FIVE    5 = 15
                             SIX     6 = 21
                             SEVEN   7 = 28
                             EIGHT   8 = 36
                             NINE    9 = 45

  So, when we say 9 expounded = 45, it will be clear as to what we 
                             mean by it.


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