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The metric system is based on multiples of ten, but there are a few other interesting details.

It was invented in conjunction with the French Revolution, which also introduced a new calendar, new holidays, and all sorts of other things that didn't catch on so well. They wanted a measuring system that was completely logical and rational.

They started with the meter, which was 1 / 10,000,000 of the distance from the Equator to the North Pole on a line running straight north and south through Paris. (It was the FRENCH revolution, after all.) 1000 meters was a kilometer, 1/100 of a meter was a centimeter, and so on.

They defined their basic unit of weight, the gram, as the weight as one cubic centimeter of water. The basic unit of volume was the liter, defined as 1000 cubic centimeters. This basic correlation between weight, volume, and distance makes shifting from one to another very easy, for any everyday purpose.

Unfortunately, they weren't entirely correct about the distance from the Equator to the Pole. The standard gram weight they created wasn't exactly the weight of one cubic centimeter of water. And so on. The meter, gram, and liter we have now are therefore just arbitrary; they don't exactly correspond to each other the way those who designed the metric system wished. They're close enough, though, that only those who need calculations accurate to a small fraction of a percent have to worry about the differences.

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