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Let's write the expression in the form of a simple fraction:
Remember the rule:
It is not possible to divide a number by 0, therefore the expression has no meaning.
There is no meaning to the expression.
What will be the sign of the result of the next exercise?
\( (-2)\cdot(-4)= \)
Division by zero creates mathematical contradictions. If 905 ÷ 0 had an answer, then 0 × (that answer) would have to equal 905. But zero times anything always equals zero, never 905!
0 ÷ 905 = 0 (zero divided by any non-zero number equals zero), but 905 ÷ 0 is undefined (any number divided by zero has no meaning).
No! While numbers get very large as we divide by values close to zero, division by zero itself is undefined, not infinity. It simply has no mathematical meaning.
Always check if the denominator equals zero before dividing. Look for expressions like or problems asking you to divide any number by 0.
Write "undefined" or "no meaning" or "impossible". Never write a number as your answer when dividing by zero!
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