Notice, we can say that "c" is unique. We can also figure out what the second part means. If we multiply our "b" times "c" then we should get "a". So our "b" is 2 times "c" which is 3 equals "a" which is our 6.
Both of these are satisfied. So that means that 6 divided by 2 does equal 3. And we can also say that this is "defined" because it satisfies the whole definition of division. Likewise, if it only satisfies one part of the definition, it would mean that it is "undefined. So let me clear this, and let's start with zero divided by 1. I am going to say that this equals zero because 1 times zero equals zero. It satisfies this second part of the definition. And this first part, if you were to plug in, say, a 1, a 2, or any other number, then it wouldn't equal that so we can actually say that "c" is unique.
So it satisfies that this is actually the only number that you can put there to actually equal zero. We can say that zero divided by 1 equals zero and we can also say that this is "defined" as well. Our next example is going to be 1 divided by zero. And a lot of people like to guess that it would be zero. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams?
Learn more. Asked 5 years, 5 months ago. Active 5 years, 5 months ago. Viewed times. Add a comment. Active Oldest Votes. That's a common way of putting things, but what's infinity? It is not a number! Why not? Because if we treated it like a number we'd run into contradictions. Ask for example what we obtain when adding a number to infinity.
The common perception is that infinity plus any number is still infinity. If that's so, then. That in turn would imply that all integers are equal, for example, and our whole number system would collapse. So, in that case , what does it mean to divide by zero? That's OK as far as it goes, any number z satisfies that equation.
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