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2:26
Khan Academy
Sal Khan
The problem with dividing zero by zero
One can argue that 0/0 is 0, because 0 divided by anything is 0. Another one can argue that 0/0 is 1, because anything divided by itself is 1. And that's exactly the problem! Whatever we say 0/0 equals to, we contradict one crucial property of numbers or another. To avoid "breaking math," we simply say that 0/0 is undetermined.
Nov 15, 2015
Division by zero Definition
1:05
Why can’t you divide by zero? Not for the reason most people think. Division asks: how many copies of the divisor sum to the dividend? When we say 10÷2=5, we mean two groups of 5 add back to 10. For 1÷0, we’re asking: how many zeros add to 1? Add zero plus zero, you’re still at zero. Add infinitely many more, and you never reach anything other than zero. No value satisfies the basic definition. That’s why 1÷0 is undefined. The meaning of division fails to produce a consistent answer. Here’s the
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