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Yeppers. The product of any two numbers represents the number of collections of a set of objects or points or abstract elements in a set. Such as, I have 4 pairs of shoes, which is really the same as saying that I have 4 sets containing 2 shoes eachs which if multiplied represents a total count of shoes (2x4 = 8). If I were to say I had 0 pairs of shoes, the total number of shoes can be represented in the same fashion as before, 2 x 0 = 0, which is true being that you have no shoes. Unless you'd like to say you have a half of a pair of shoes, which can be represented as 2 x 0.5 = 1.

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Q: The product of a number and 0 is 0?
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