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Division by infinity is not used in ordinary mathematics.

Think about infinity as a number with tons of zeroes on it. So a small number divided by a number that just keeps getting bigger will get closer and closer to zero, but will never get there.

Although we can state that for any number a,

a/ ∞ = 0 and a/(- ∞) = 0

this is not an actual value of zero, but is a limiting value for a number that approaches ∞ . You can see that the reverse multiplication operation,

∞ x 0 = a

is only true in the single case where a = 0.

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Q: What is the result when a number is divided by infinity?
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