Can we divide infinity?

The reason that in the usual extension of the real numbers by “infinity” and “minus infinity” you cannot divide one infinite quantity by another has nothing to do with different sizes of infinity. Similarly, multiplying any positive number by infinity gives infinity.

Can you divide by 2 infinitely?

As infinity is not a specific number it is just an thinking that it is uncountable or a number which we cannot count. And the infinity is such a number that when we divide it by 2,then it remains infinity. Infinity.

Is infinity divisible by every number?

Infinity divided by any number is still infinity. In fact infinity multiplied by infinity is also equal to infinity. Even if you would consider 1 followed by infinite number of zeroes and divide it by infinity then also it would turn out to be infinity.

Is there infinite smallness?

Smallness is not infinite small. There is something called Planck constants which have been discovered in the math that rules this universe. None of the laws of physics for this universe can be defined at distances smaller than the Planck length, or at time slices smaller than the Planck time.

Can you divide infinity by 0?

Infinity is not a number, so cannot be divided, mathematically, by ANY number. Division by zero is undefined.

Can you divide infinity by X?

Yes. Thus, infinity times two is infinity (and by convention, infinity times any real number is infinity). Since infinity divided by x is the same as saying infinity times one over x, infinity divided by any number is infinity. So, no you can’t (conventionally) divide infinity.

Is infinity divided by infinity equal to 1?

Note: infinity divided by infinity is not equal to 1 since here we are not sure about the value of infinity in the numerator and denominator. Yes, in several rigorous and well-defined contexts, you can meaningfully divide infinity by a number.

Can $11$ be divided by Infinity?

In such a context, yes infinity is the “largest” extended real number and $11$can indeed be divided by it. In fact, every real number when treated as an extended real number instead can be divided by infinty and the result would be zero. In that context, yes… you are correct.

Is it possible to divide by an infinite integer?

If you are working with non-negative integers, then there is no infinite integer, and you can’t divide by something which doesn’t exist. If you were working within the rational numbers (fractions), you could divide by any rational number (including any integer) except for zero. That would give you a valid fraction as an answer.