Finding a rule from a table using multiplication and division - Help on math

The video tutorial explains how to find mathematical rules using operations like addition, subtraction, multiplication, and division. It starts with simple examples and progresses to more complex cases involving negative numbers and fractions. The instructor demonstrates how to derive rules by testing different operations and provides examples to illustrate the process.

What is the first operation the teacher looks for when trying to find a rule?

How does the teacher determine if addition is a valid operation for the given values?

What multiplication factor does the teacher identify to relate the input and output values?

What does the teacher conclude about the relationship between the input values and the output values when they are not in order?

What is the final rule the teacher derives for the output in terms of the input?