division by zero

Undefined arithmetic operation

Division by zero is the mathematically undefined operation of dividing any number by zero.

Because division asks "how many times does the divisor fit into the dividend," and zero fits into anything either infinitely many times or not at all, the operation has no meaningful answer.

Calculators display an error; computers may crash.

The phrase extends figuratively to any logical impossibility or operation that breaks a system: Asking him to be on time is like division by zero.

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indeterminate · singularity · limit · asymptote · forbidden · impossible · paradox · calculator · NaN · overflow · exception · mathematics · number theory · math class · denominator · fraction · illegal · black hole

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division, divide, divided, dividing, divider, dividers, divisible, divisibility, indivisible

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Known to kids · Used worldwide · Timeless · Abstract · Rated G