Division by zero
Class of mathematical expression
Division by zero
In mathematics, division where the divisor (denominator) is zero is a problematic special case. Using fraction notation, the general example can be written as a 0 {\displaystyle {\tfrac {a}{0}}} , where a {\displaystyle a} is the dividend (numerator). The usual definition of the quotient in elementary arithmetic is the number which yields the dividend when multiplied by the divisor. That is, c = a b {\displaystyle c={\tfrac {a}{b}}} is equivalent to c × b = a {\displaystyle c\times b=a} . By this definition, the quotient q =...
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