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Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.

Q: Why is zero times infinity undefined?

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5 times 5 divided by 5 times 0 equals infinity or undefined. Division by zero is undefined

Undefined: You cannot divide by zero

Value of log 0 is negative infinity (undefined). Because no power can give an answer of zero. it is in fact undefined but written as negative infinity for symbolizing. Otherwise undefined and infinity are two different things.

Zero times infinity is defined as "indeterminate".

Undefined: You cannot divide by zero

Related questions

5 times 5 divided by 5 times 0 equals infinity or undefined. Division by zero is undefined

It IS undefined.

infinity? Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.

undefined (infinity)

Undefined: You cannot divide by zero

Value of log 0 is negative infinity (undefined). Because no power can give an answer of zero. it is in fact undefined but written as negative infinity for symbolizing. Otherwise undefined and infinity are two different things.

Undefined: You cannot divide by zero

Undefined: You cannot divide by zero

You cannt multiply by infinity in ordinary mathematics, because it is an undefined value. However, for any other value, the result is zero. The intersection of a null (empty) set with other sets cannot exist, and in mathematics any value a x 0 = 0. e.g. Zero times anything (even negative values) is always zero. Infinity is undefined as a number, thus the definition of infinite. However, as a concept, of an undefinable number, infinity is infinite, unending. Infinity is not rational and keeps going on forever, therefore infinity cannot be multiplied by zero. Multiplying infinity by other rational numbers is impossible in ordinary math, because the result cannot exceed infinity.

Zero times infinity is defined as "indeterminate".

Undefined: You cannot divide by zero

In general, infinity to the zero is undefined ------------ Seconded. You'll have to figure out some algebra tricks to (re)move the exponent before continuing the evaluation.