When you multiply or divide you can think about it like making piles of things. So let’s say I have a bunch of marbles and I asked you if I make 5 piles of 2 marbles each, how many marbles do I have. Well that’s 5 (piles) x 2 (marbles) so 10 marbles. Now if I ask you to make 5 piles of 0 marbles how many do you have? It’s a bit weird, but you can say you have 0 marbles in a pile, so you can still work this out logically, and get to an answer of 0 marbles.
Now I do it in reverse, and I say if I split 10 marbles into 5 piles, how many marbles are in each pile? 10/5 = 2. Makes sense. But if I ask you to split 10 marbles into 0 piles…you just can’t do that. There is no way to distribute marbles to no piles, so the answer is undefined.
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