Should I really put a screen protector on my macbook ?

Why, it is not a touchscreen.

Do not put anything between the display and the keyboard: Using a camera cover, palm rest, or keyboard cover on a Mac notebook - Apple Support

kinsey54 Said:

"Should I really put a screen protector on my macbook ?: What are the safest things to protect my MacBook from damage and scratches?"

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Properly Cleaning the Screen:

Use a microfiber cloth after use. Then, close the lid. Do not use a privacy filter, as it would overheat the screen.