Tampon disposals

Caroline🌼 • in a relationship//dog mom of one
Question, whenever you put a new tampon in, do you throw the applicator away on its own? Or do you put it back in the sleeve the throw it away? 
Personally I put it in the sleeve bc I live in a house with other people I think it's just rude and gross to have someone go to throw something away and see a used (usually slightly bloody) tampon applicator sitting there.