There is an art (and a science) to numerical precision that seems lost in software, writing and conversation. The trick to appropriate precision is understanding accuracy. This all falls under the banner of numeracy.
For example, I just received a confirmation of a cinema booking that gave the time of the film in HH:MM:SS format. The site lists programme times in HH:MM. They normally start trailers within a few minutes of the advertised time. To list seconds is an innumerate and false promise.