2 You can do "a split" or "the splits". They are interchangeable. But you would never say "a front the splits". You would say "a front split" and walk away smiling, even if you pulled a groin muscle.
For the most part, the words are interchangeable. Distinguishing between multiple examples of such things can be aided by their individual connotations: crack a line on the surface of something along which it has split without breaking into separate parts A crack tends to be a visible flaw that can splinter or spider into larger cracks with many smaller, attached cracks. The defining point of ...
Does the "in" imply multiplication, in which case split in half is correct, or is it division? It sounds like the latter to me, but I've heard it used both ways.
Split infinitives involve the to-infinitive specifically. The "to" not a "preposition"; it is a infinitive marker. Lastly, I found your arguments about "wanna" & "gonna" unconvincing and irrelevant because these words are informal and the argument about split infinitives is most certainly about prescriptivism.
What is the meaning of the following sentence? You have successfully split a hair that did not need to be split. Source: this post on the Programmers Stack Exchange.
In those situations, the court’s orders force the parties to reveal information—how much discovery was really needed and what the parties were willing to settle for—that the court couldn’t determine itself. But if you’re just describing a compromise, do our profession a favor and use “split the difference.” It is a much better option.