Counterpoint: when talking or skimming text, the exact number is often not especially important to most of the audience, but the most significant digit or two are.
If there are 123 new covid cases in the cycling club, I'm not going to the meeting; it's not because of the 3 or the 20.
If there are 123 new covid cases in the cycling club, I'm not going to the meeting; it's not because of the 3 or the 20.