Property observers in Swift let you run code before and after a property changes. The willSet observer runs right before the property value changes and receives the new value that will be set. The didSet observer runs right after the property changes and receives the old value before the change. In the example, when 'score' changes from 0 to 10, willSet prints the new value 10 before the change, and didSet prints the old value 0 after the change. This helps you track or respond to changes safely. You should not change the property inside these observers to avoid unexpected behavior.