When you turn on versioning you have a choice of either using just
simple numbers 1,2,3,etc or Major and minor versioning where the numbers
are 1.1, 1.2, 1.3, 2.0 etc. If the site is a publishing site then the
approval process uses Major/Minor versioning automatically and treats
Minor versions as drafts and Major versions as published documents
awaiting approval. Checking in a Minor version won't start the approval
process automatically, but Publishing a Major version will. The
confusion is that you can use major/minor versioning with or without
using publishing. When used with publishing there is additional
terminology that goes with the versions like draft, published, revision,
etc.