Sunday, December 23, 2007

watching numbers under operators' spell

How a Multiplier affects positive and negative numbers:
Let us say we have these two numbers, -4 and +4,
(-4)....(0)....(+4)
Now multiply these two numbers with 10 resulting into:
-40.....(0)........+40
They seem to be running to the two extremes away from the Origin zero. The same can be seen even if the multiplier is a negative number: the results still like to keep away from the zero but they do cross the zero for a while...

And how does a Divider affect them? For example, 10 as a divider results into:
(-0.4)...(0)...(+0.4)
They seem to like the zero but can never reach it. Again if the divider is a negative number they cross the zero but still love to linger around it...

Addition and subtraction are very boring behaviors, they induce monotonous one sided movements always remaining equidistant...

Of course the striking relationship between a multiplier and a divider is worth watching for a while (10 and 1/10). There is something very curious about the number range (-1, +1). They seem to transform the nature of a operand a bit too dramatically...

it is really fun to watch these numbers jumping around...
:)

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