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As an alternative to the common convention of working with fields such as the real numbers and leaving division by zero undefined, it is possible to define the result of division by zero in other ways, resulting in different number systems.
Division by zero is considered as undefined where zero is the denominator or the division and is expressed as a/0, a being a number or numerator or dividend. In other words, dividing zero with any number will always give us a zero not matter with multiplication or division.
3 sie 2012 · Since $\frac{1}{0}$ doesn't evaluate to a real number (or any kind of number at all, if you're working in $\mathbb{R}$), it's neither rational nor irrational. It's non-existent. See this interfaith description for more information.
0 Divided by a Number 0a=0 Dividing 0 by any number gives us a zero. Zero will never change when multiplying or dividing any number by it. A Number Divided by 0. Finally, probably the most important rule is: a0 is undefined You cannot divide a number by zero!
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Just kidding. In truth: Dividing by Zero is undefined. To see why, let us look at what is meant by "division": Division is splitting into equal parts or groups. It is the result of "fair sharing". Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates? So they get 4 each: 12/3 = 4. Dividing by Zero.
If it is not obvious which values will cause a division by zero error in a rational expression, set the denominator equal to zero and solve for the variable. Examples of "when" rational expressions may be undefined (0 on the bottom): Rational expression: Could it possibly.