When I go to the National Weather Service site to get the forecast for Longmont, the URL looks like this:
http://forecast.weather.gov/MapClick.php?lat=40.167207146000464&lon=-105.10192993699968
Notice the latitude and longitude: it’s specified fifteen decimal places deep! Doing the math, that means NOAA is providing forecasts for a spot on the earth that’s accurate to about 10 picometers. That’s roughly the width of about ten atoms.
I know computers and weather prediction techniques have come a long way, but it’s amazing that we can narrow down a forecast to a few atoms!