How do we approximate in physics

In physics, we can approximate by simplifying complex systems or problems using assumptions, estimates, or numerical calculations. Approximations are commonly used to make calculations more feasible or to better understand underlying principles. Some common methods of approximation in physics include linearization, assuming ideal conditions, using numerical methods such as numerical integration or differentiation, and making small angle approximations. It is important to note that while approximations can be useful, they may also introduce errors into calculations, so it is important to be aware of the limitations of any approximations used.