What does it mean to write one's signature on the back of a check to indicate approval?

Writing one's signature on the back of a check to indicate approval is referred to as endorsing the check. This act of endorsement serves as a transfer of ownership or gives permission for the check to be cashed or deposited. When you endorse a check, you are essentially affirming that you accept the terms and conditions associated with the check and that you authorize the funds to be handled by the party receiving the check.

Endorsement specifically involves placing your signature on the back, which can also include additional instructions, such as "for deposit only." This adds a layer of security and ensures that the check can only be used as intended. Thus, the term "endorse" is the correct and most precise term to describe this action in the context of financial transactions involving checks.