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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.

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Q: Why is zero times infinity undefined?
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Related questions

What is 5 times 5 divided by 5 times 0?

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

Why does zero to a negative power yield infinity rather than undefined?

It IS undefined.

What is the limit of infinity over zero?

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

What do you call the number if the dinominator is zero?

undefined (infinity)

Why 5 divided by 0 undefined?

Undefined: You cannot divide by zero

What is the value of log 0?

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.

Is 1 divided by 0 infinity?

Undefined: You cannot divide by zero

What is the answer of 0 divided by 0?

Undefined: You cannot divide by zero

What is zero times infinity?

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.

What is the value of zero times infinity?

Zero times infinity is defined as "indeterminate".

What is negative 63 divided by 0?

Undefined: You cannot divide by zero

What is infinity to the exponent of 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.