A dialogue where students discuss multiplication.

Check out this dialogue between two calculus students (based on a true story):

Devyn
Hey Riley, I was reading about the history of mathematics.
Riley
Really? Tell me about it!
Devyn
Apparently, back in the day, mathematicians worried about writing things like:
\[ 3\times 4 + 5 \]
Riley
Why? What’s the matter here?
Devyn
Well, they thought of \(3\times 4\) as an area. But \(5\) was thought of as a length. Apparently they worried whether it made sense to add “areas” and “lengths.”
Riley
Hmmm. We don’t seem to worry about that now. I wonder why?
What are some ways to interpret \(3\times 4\)?
Answer will vary.
2025-01-06 18:52:14