When is it appropriate to use the "te/て" form?

The "te" form can be used either when creating an imperative or listing activities off in a sentence. To create an imperative is to turn a verb into an instruction. For example, the word "taberu", meaning "to eat". In order to turn this into an instruction, we must remove the "ru" which indicates the "doing" of the word. This creates "tabe". We must then replace the "ru" with the "te" form to add the instruction. This creates the word "tabete", meaning "eat it". The "ru" is removed because it indicates either a question or a an affirmation of "i am doing", which is not needed in order to instruct someone.This can also be applied to words such as "kakeru", meaning "to hang", turning into "kakete", with the same application of technique to create the meaning "hang it."