How does 1×1=1???!!! Certainly doesn't fit the standard definition of multiplying. What are the implications of this?
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It's one group of one, so it's just one thing.
Let's say you have a box with a number of apples in it. In this particular box, you have one apple.
So, one box, of one apple, is just one apple total.
To use 3x4, say the box has 3 apples, and you have four of those boxes. 4 boxes, each with 3 apples in it, is 12 apples total.
Of is a way better definition than the one given. Thanks. Way more practical and fitting.
Happy to help!
Now do zero. Where does the apple go if not eaten?
You have one box, it has zero apples in it.
You have a thousand boxes, each has zero apples in it.
No matter how many boxes you have, you have zero apples.
Group of zero, a box with nothing in it. No matter what number you multiply that empty box by, the sum of the contents of that heap of empty boxes will be zero.