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The ordinary numbers (or real numbers as mathematicians call them) sat on the number line running East-West in this map of imaginary numbers, while the North-South direction corresponded to the imaginary part.
These jumps from one number to the next can be visualized as arcs of circles along a number line .
Primes are also fascinating because they seem to be scattered randomly through the number line - it's impossible to predict where they might pop up.
So the real numbers are the numbers that you probably already know: they're the ones on the number line .
The findings suggest that understanding relationships among numbers involves some sort of spatial tool, such as visualizing a number line .
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