While the words "mistake" and "error" are often used interchangeably, there are subtle differences between them. Generally, a mistake implies a wrong action or decision caused by carelessness, poor judgment, or a misunderstanding. An error, on the other hand, suggests an inaccuracy or fault in a process, calculation, or system. Mistakes are often viewed as more intentional, while errors are seen as less so.

Let's look at some examples:

• Mistake: "I made a mistake in my math homework; I added instead of subtracting." (Meaning: I did the wrong calculation due to carelessness.)

• Mistake Translation: I incorrectly calculated my math homework because I added when I should have subtracted.

• Error: "There was an error in the software; it crashed repeatedly." (Meaning: The software malfunctioned.)

• Error Translation: The program malfunctioned and crashed repeatedly.

• Mistake: "It was a mistake to trust him." (Meaning: It was a poor judgment call.)

• Mistake Translation: Believing him was a poor decision.

• Error: "There's an error in the bank statement; the balance is wrong." (Meaning: There's an inaccuracy in the system's output.)

• Error Translation: The bank statement contains an incorrect balance.

In simpler terms, a mistake is usually a human fault due to poor judgment or carelessness, whereas an error may be due to a problem with a system or process. While sometimes the words are interchangeable, paying attention to this difference can help to make your English more precise.

Happy learning!