It seems like multiplication is just an extension of addition. How many times do you want to add numbers together? The result is multiplication. Similarly, addi

It seems like multiplication is just an extension of addition. How many times do you want to add numbers together? The result is multiplication. Similarly, addition can be used to represent multiplication. You want to multiply, which can be represented as adding things a certain number of times. If you're interested in this train of thought here's a resource you might want to chase up: http://en.wikipedia.org/wiki/Hyperoperation http://en.wikipedia.org/wiki/Hyperoperation As for the "bizarre" interplay between addition and multiplication, you might want to contemplate The Other FLT [1]. TOFLT can be understood with just high-school math but is a big gateway drug into big-ass number theory. In more ways than one! [1] http://en.wikipedia.org/wiki/Fermats_little_theorem http://en.wikipedia.org/wiki/Fermats_little_theorem