Archimedean Property

The Archimedean Property states that for any two positive numbers, no matter how small, you can always find a multiple of one that exceeds the other. In practical terms, if you have a tiny amount of something, like a drop of water, and a large quantity, like a swimming pool, there exists a number of drops that can fill the pool. This property ensures there are no infinitely small or large quantities that cannot be compared using multiplication, setting a foundation for much of real number arithmetic and analysis.