What does 9.8 m/s/s have to do with acceleration?

The more force acts on an object, the greater acceleration it has.

The force that Earth's gravity exerts on every falling object makes the object fall with acceleration of 9.8 m/s/s. It's the same for every object on Earth. The size or mass or weight of the object doesn't matter.

The number is different on other bodies, like the Moon, or Mars.

9.8 is the gravitational field strength on earth, perhaps re-read the question