Is dividing by zero the same as multiplying by infinity?

TO SAY that “any number divided by zero is infinity” is not quite correct. Considering normal arithmetic, it is not possible to divide by zero. Since multiplying by zero always gives zero, we really cannot divide anything non-zero by zero.

Does a number divided by zero equal infinity?

Well, something divided by 0 is infinity is the only case when we use limit. Infinity is not a number, it’s the length of a number. As we cannot guess the exact number, we consider it as a length of a number or infinity. In normal cases, the value of something divided by 0 has not been set yet, so it’s undefined.

What happens if you divide a number by infinity?

Any number divided by infinity is equal to 0.

What if we multiply infinity with zero?

Any number multiplied by 0 is 0. Any number multiply by infinity is infinity or indeterminate. 0 multiplied by infinity is the question.

Is infinity times infinity an indeterminate form?

Product: ∞ ⋅ ∞ \infty \cdot \infty ∞⋅∞ is not indeterminate; the limit is ∞ \infty ∞.

What does dividing by zero do?

Because what happens is that if we can say that zero, 5, or basically any number, then that means that that “c” is not unique. So, in this scenario the first part doesn’t work. So, that means that this is going to be undefined. So zero divided by zero is undefined.

What does infinity divided by infinity equal?

BUT in Mathematics infinity divided by infinity is actually undefined.

Can you divide by infinity?

So the correct answer is that you can’t divide anything by ∞. Originally Answered: Why is any number divided by infinity zero? One of the simplest ways to define infinity is as a limit of numbers growing without bound. Infinity is then replaced by a limit of an expression using normal numbers.

Does Infinity divided by Infinity always equal one?

If you are interested, here is the proof that infinity divided by infinity does not equal to one. In actuality, when any number (including zero) is multiplied with infinity, then the results are always undefined. Therefore, zero times infinity is undefined.

What is the result if a number is divided by 0?

, Got a degree in Mathematics. Originally Answered: In mathematics, if a number is divided by 0, is the result infinity or undefined? Undefined, because +0 = -0, so the result would be both infinity and minus infinity.

Is it possible to divide by zero?

TO SAY that “any number divided by zero is infinity” is not quite correct. Considering normal arithmetic, it is not possible to divide by zero. This is because “dividing by x” is really just a shorthand way of saying “calculating the amount which gives the original when multiplied by x”.

What is the value of zero times infinity?

If you are interested, here is the proof that infinity divided by infinity does not equal to one. In actuality, when any number (including zero) is multiplied with infinity, then the results are always undefined. Therefore, zero times infinity is undefined. So, zero times infinity is an undefined real number. This is the definition of undefined.