What is the importance of the experimental results and the predictions being the same?

the importance that the experimental and predicted values are equal is to know the validity of the models and approximations used.

Explanation:

The different models and laws of physics create perditions on the results that must be obtained under certain conditions.

To know if these models and laws are true, experiments are designed that give experimental results, which can be compared with those predicted if the models are true and accept as  correct and if they are different, the moldings are reviewed and modified to be more similar to reality.

Therefore, the importance that the experimental and predicted values are equal is to know the validity of the models and approximations used.