You misue the metric system and I want you to correct your user interface language.
Example Check out this post on Strava from The Strava Club. https://strava.app.link/pMyMogGuKCb
k = 1000, m = metre. Don't break the metric system. You should write 1 km, 5 km, 20 km. Lower case k is not short for kilometre.
I am referring to those distances. Established names according to which organisation? It might be standard in English speaking countries but not the rest of the world? It is is not logic you an filter 400 m but not 1 km.
k means 1000 and not kilometre. There is no way around that.
If you want to be super duper correct 1 K actually means 1 Kelvin...