what is infinity times infinity?

Question

is it 2 infinity?
also what is infinity divided by infinity?

Answer 1

Infinity * Infinity = Infinity squared

Infinity / Infinity = 1

Answer 2

Infinity cannot be multiplied in the way you are thinking. It is the value just beyond the number line, as such, there isn't a discrete measure. However, there are different "types" of infinity, there can be greater and lesser amounts of infinity.

Consider the set of complex numbers, where i is the square root of negative one. So they form a set of numbers a+bi across a plane with the real line being one axis and the imaginary line being the other axis.

Now consider the set of natural numbers, they are a subset of the real line and while the real line is uncountable, the natural set is countable.

Since area is the geometric result of multiplication, more precisely rectangles, then if you take the real line at right angles you end up with a real plane, the x-y plane. It is also infinity and may be what you are looking for, or again using better form, the complex plane with the i conjugate on the y axis.

I have a better one for you to ponder. Imagine a real number, say call it d, that is close to zero, but not zero. Further, let us imagine it is a small positive number, further imagine a number that when coming from the right is always to the left of you, but always to the right of 0. This number must be infinitely small. Now that is an interesting number.

Answer 3

No. Georg Cantor did work on this in the 19th century. Infinity times infinity is infinity. The number of points on a line is the same as the number of points on a plane, and so forth, and that's equivalent to squaring infinity. Infinity divided by infinity is the inverse of that operation, so it's still infinity.

Answer 4

Obviously there is no real answer to this question as infinity is not an actual integer, or a real number for that matter. If we were to treat infinity as a number, then infinity times infinity is infinity², although that isn't the actual answer to the question, it's just another way of stating the question.

And the answer to infinity divided by inifity is 1, because if we treat infinity as a number then it will go into itself once, just as 3 goes into 3 once and 582 goes into 582 once and etc.

I hope this answered you question, a good question to get the mind working in the middle of the week.

Answer 5

Infinity^2 which seems to suggest there is some number which is much bigger than what you thought was infinity.
What you have just done is prove for yourself that there is no biggest number called 'infinity'.
Find out what (Big number)! means.

(NO I havent typed an error. what does 6! mean ?)
If you have a calculator with ! on it find out the (biggest number)! your calculator can cope with.
Hope you Try

Answer 6

Infinity Sqaured?/Infinity To The Power Of 2
(this is just a guess, i'm only a 2nd year pupil)

Answer 7

If you can multiply infinity then, by definition, it cannot have been infinite in the first place. Infinity is not a number, it's a concept. You would not ask 'what is beauty times beauty?'

Answer 8

There isn't just one infinity, unfortunately. There number of integers is one sort of infinity and the number of 'real numbers' is a different sort of infinity. Confused? You will be!

Sticking with the number of integers (inf) for now Inf * Inf = (the same) inf. Here is how to get it. Picture a huge grid of dots, a infinity of dots across and an infinity of dots down, so there are in total an infinity x infinity of dots.

Now imagine counting the dots individually and writing the number you come to on each dot. Now each dot would get its own integer, so for every integer in the integer x integer grid there is a integer that correpsonds to it, so proving inf x inf = inf!

Answer 9

Infinity multiplied by infinity = infinity squared = infinity (being as infinity is a never ending number)

Infinity divided by infinity = 1 (anything divided by itself = 1)

Answer 10

infity times infinity is infinity.
because1\0*1\0=1^2\0^2=1\0
infinity diivided by infinity isthe answer which u get dividing 0 by itself i.e undefined

Answer 11

you can never tell infinity does not have a place value. It is just shows that numbers go on forever. you could say infinity squared but that doesnt make much sense.