Intuitively, if addition can be interpreted as combining sets, then what can multiplication and division be understood as? A few more extensions to this:
What does multiplying and dividing by a decimal number mean intuitively? And why, when we multiply and divide by decimal numbers, do we need to move decimal points up and down based on what we are multiplying?
Why, when we divide by decimal numbers/fractions, do we reciprocal the fraction, then multiply by the denominator and divide by the numerator? Is there an intuitive explanation for this?
Can you try to keep the explanation as simple as possible? Because I'm still a beginner, if the explanation is too complex, I may not be able to understand it.