How does the suffix -al as in numerical or mathematical change meaning of base word?

The suffix "-al" in words like "numerical" and "mathematical" doesn't drastically change the meaning of the base word, but rather qualifies it. Here's a breakdown:

* Base words: "numer" and "mathemat" refer to the concepts of numbers and mathematics, respectively.

* Suffix "-al": Adds the sense of relating to, pertaining to, or characterized by.

Therefore, "numerical" signifies something relating to numbers, while "mathematical" signifies something relating to mathematics.

Here are some examples:

* Numerical data: Data that consists of numbers.

* Mathematical equation: An equation used in mathematics.

* Numerical analysis: A branch of mathematics dealing with numerical computations.

* Mathematical reasoning: The process of using logic and mathematical principles to solve problems.

In essence, the "-al" suffix transforms the base words into adjectives, describing something as being related to or connected with the concept they represent.