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First, let's write the expression in the form of a simple fraction:
Since it is not possible to divide a number by 0, the expression is invalid.
The expression is invalid.
What will be the sign of the result of the next exercise?
\( (-2)\cdot(-4)= \)
Division asks "how many groups of this size?" But with zero, we're asking "how many groups of nothing make 14?" This question has no logical answer - you can't make something from nothing!
Stop immediately! When zero appears in a denominator, the entire expression becomes undefined. Mark your answer as "undefined" or "no solution" rather than continuing with calculations.
No! They're completely different. (zero divided by anything is zero), but is undefined (anything divided by zero is impossible).
Calculators display 'ERROR' because division by zero breaks mathematics. It's not that the calculator is broken - it's correctly telling you that this operation is impossible!
No! While we sometimes use infinity in advanced math, division by zero is undefined, not infinite. Infinity has specific mathematical meaning, but 14 ÷ 0 simply has no answer at all.
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