Out of curiosity I went a bit deeper on this. I didn't expect it could do this without a calculator, because of the nature of the technology. But I still wanted to see what it would do. So I asked it:
> Me: I have these two numbers: 3452346 and 343424. Can you multiply them exactly, but without using Python or another calculator?
I proceeded to breakdown the smaller number in 300,000 + 40,000 + 3,000 + 400 + 20 + 4 and doing each step as follows:
> Calculate each partial product:
> 3,452,346 × 300,000 = ?
> Multiply 3,452,346 × 3 = 10,357,038
> Then multiply by 100,000 = 1,035,703,800,000
I checked each step, and it got those correct. It then added the partial results together.
> Final result: 1,185,618,472,704
> So: 3,452,346 × 343,424 = 1,185,618,472,704
> No Python, no calculator — just a bit of patience and the power of breakdown.
(That answer is correct.)
I am honestly surprised that it got that right. A teacher would need to break it down a bit further, both to calculate and to explain, but it's pretty much there. (I also didn't ask it to teach, just to do a calculation.)
ChatGPT's original answer was surprisingly close.
Both humans and LLMs fail to multiply those numbers in their heads.
Some people can multiply them using a special algorithm. Either for mind or for pen and paper. Your example shows that LLM knows some of those tricks and can carry out the task using "pen and paper" (context in this case).
Both humans and LLMs are able to do that multiplication correctly using a calculator.