"Using this argument, it's simple to show that zero divided by zero could be anything at all! The answer is indeterminate."
I've wondered if the words undefined and indeterminate were interchangable. When indeterminates were talked about this in class for the first time, it seemed that they were just a bunch of expressions that couldn't have an answer. I soon found out that they were expressions that did have answers. It's just the issue of which answer is the correct one. You can have an infinite number of ways of writing 0/0, but in the end, its still just 0/0. It's makes me think of all the different ways we can write numbers and expressions. The idea that problems can be rewritten is an essential skill required for problem solving. If something doesn't look familiar to you, rewriting it into a form you have learned to deal with can help you solve the problem. Since 0/0 is one of many indeterminates, I wonder what methods are out there to solve the other ones in the math world.
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