One times zero is zero. One times one is one. One divided by one is one. But one divided by zero is Indeterminate, because zero isn't a real number, it's a placeholder where a number would normally go. It's a null-value concept that is a bit like the "seat-fillers" at the Academy Awards. We could have lived entirely without a zero if we were comfortable leaving blank spaces in number columns. Think of it like the Joker in a poker hand. It's different things based on what we're going for, but really it's just an abstract concept used as shorthand for several related concepts.
One times zero is zero. One times one is one. One divided by one is one. But one divided by zero is Indeterminate, because zero isn't a real number, it's a placeholder where a number would normally go. It's a null-value concept that is a bit like the "seat-fillers" at the Academy Awards. We could have lived entirely without a zero if we were comfortable leaving blank spaces in number columns. Think of it like the Joker in a poker hand. It's different things based on what we're going for, but really it's just an abstract concept used as shorthand for several related concepts.
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