The numerical value of the acceleration due to gravity, which is the acceleration experienced by an object in free fall, is approximately 9.81 meters per second squared (m/s²).

This value is often rounded to 9.8 m/s² or even 10 m/s² for simplified calculations.

However, it's important to note that the actual acceleration due to gravity varies slightly depending on factors such as:

* Location: The acceleration due to gravity is slightly stronger at the poles than at the equator.

* Altitude: The further away from the Earth's surface you are, the weaker the acceleration due to gravity.

* Local geology: Variations in the density of the Earth's crust can also affect the acceleration due to gravity.

Therefore, 9.81 m/s² is just an average value, and the actual acceleration experienced by a freely falling object may differ slightly.