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Think about it as with apples. If 3 people have 5 apples each, how many apples are there? 3x5 = 15. If, however, no people have 10 apples, there are no people so therefore there are no apples. Similarly, if 3 people have no apples each, there are 0 apples in total. Hope this explains it.

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Q: Why does anything multiplied by zero equal zero?
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