On 6/25/09, Rich/CA/Math wrote:

>
> Operations should be extensible. And they are. We can not only
> multiply 2*3 we can multiply (1/2)*(1/3). Now explain how the
> latter can ever make sense if multiplication is repeated addition.
>
By seeing it as two multiplication problems, one in the numerator and
one in the denominator.

1 x 1 = 1 = 1
_ _ _____ _
2 x 3 = 2+2+2 = 6

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