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Is a number divided by zero irrational?

Updated: 4/28/2022
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13y ago

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That is not what mathematicians mean by an irrational number, which is a number with an infinitely long decimal expansion. You will note that since division is the inverse of multiplication, dividing by small numbers has the same effect as multiplying by large numbers, and so dividing by zero, which is an infinitely small number, is equivalent to multiplying by infinity. The result in most cases is deemed to have no mathematical meaning.

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Q: Is a number divided by zero irrational?
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What happens when a rational number is divided by an irrational number?

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.


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An irrational number. Nothing may be rationally divided by zero.


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Yes, an irrational number divided by an irrational number will usually be an irrational number, but not always. For example, pi / (3pi) is 1/3, which is a rational number, but pi/e is an irrational number.


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