Is 1 divided by 0 really infinity?

Answer 1

no, any number divide by 0 has no solution. infinity is a concept not a number.

Answer 2

Try dividing 1 each time by ever decreasing decimal values. You will find that the number obtained continues to increase in size. Example 1 divided by 0.1 equals 10; 1 divided by 0.01 equals 100; and so on. Therefore what is 0? If not a decimal with an infinite number of 0's after the decimal point, which in turn, when divided into 1, would give us an infinitely large number.

Answer 3

Anything divided by the number 0 is undefined.
Eg. e/0, 1/0, 99999999/0, -9.777/0 and 0/0 is all undefined.
There is no meaning.

Whatever the above ppl say when they say that when something is divided by a very small number, the result will that be is would by very large, they are correct. However, the thing is that the numbers will only approach closer and closer to zero, but will never reach zero.

Answer 4

Division by 2, splits something into 2. Division by 1 splits into 1 - or is the same. Division by 0 or "nothing" essentially means splitting into such a huge number of "pieces" that the size of each "disappears". Now because this huge "number" of pieces is not finite (ie. infinity) it is said that any number for that matter, divided by zero is infinity.

So, YES 1/0 is infinity, as long you accept that infinity is a concept rather than a "number" as I've explained.

Answer 5

looking at the answers that you already have further explanation is needed as the answer is somewhere between yes and no,

Infinity is an abstract concept rather than a real number, but is a field in mathematics that is studied at a very deep level and is required in order to examine certain fields in maths.

Within basic maths ( high school ) it is easier to state that something divided by zero cannot be done

But at later stages in maths we need to determine the very nature of what is occouring in order to create models or make predictions.

So another of your answers provides a good explanation by examining what occours when we divide 1 by numbers that are very small,

Initially there is little change, e.g. 1/0.5 = 2, 1/0.05 = 20 but as the numbers get smaller the answers become increasingly large at a faster rate ( this is called an Exponential increase and is the opposite to a logarithmic )

So although we cannot correctly say that 1/0 is a particular number we can safely say that as we tend toward 0, 1/n tends toward infinity

Answer 6

Yes indeed. 1/0 tends to infinity, and here's why:
You have a piece of pie.
If you divide the pie equally among 1 person. This person gets the whole thing.
Divide by 2 people, and each will get 1/2 of the pie.
Divide by 3 people and each will get 1/3 of the pie.
And so on...
Divide by n people and each will get 1/n of the pie.
As the number of people increase, the individual share of the pie decreases.
Now what if you're dividing the pie on half a person ? I know that doesn't exist in reality, but who said math has to be real ? It is abstract for the most part.
Anyway, back to the pie.
If you divide the pie by half a person, this half person gets an equivalence of 2 pies with respect to what a person gets.
Divide by one third of a person, and this 1/3-person gets an equivlance of 3 pies.
And so on.
Divide by one nth of a person, and this 1/nth-person gets an equivlance of n pies.
Notice as the natural number n increases, the share of 1/nth-person increases.
It should be clear that when n approaches infinity, 1/n approaches 0. That is, as n gets bigger, 1/n gets smaller.
Thus the convention 1/0 = infinity.

Answer 7

No, it is undefined.

If 1/0 was infinity, then 2/0 would be twice infinity!

Answer 8

Obviously. I mean . . . what would you expect if you took the Infinite and divided any given Cipher (spiritually nonviable) comprising the Cancer currently battening on It, by a stilled zero? I mean you are going to get 1 aren't you? Or that is to say: (a) the frequency, of the wavelength, of the lowest note, of the note pair, existing antecedent to time (b) thus both the frequency emitted by and digit type comprising, the Primordial Pool (c) therefore the Greater - of which the electromagnetic spectrum is an infinitesimal segment - Spectrum's Glissando's lowest wavelength's frequency (d) thus the Just Desserts of assorted slime (e) both the original and current number of Creators (f) the number of Creators that have been slain (g) both the original and soon again to be, number of Creations (h) both the original and soon again to be, number of Essences (i) the basic blueprint of the New Dimension (j) the number most people most look out for (k) out of ten what most folk will rate this and (l) the average number of spiritual credentials processed by your average atheist. Ya all be Good now! Hear!

Answer 9

take the equation 1/x.

now lets see some examples:-

1/1 = 1
1/0.5 = 2
1/0.0000001 = 10000000
1/0.0000000001 = 10000000000

now as x gets smaller and smaller, 1/x gets bigger and bigger, therefore we say that as x tends to zero, 1/x tends to infinity.

in purely mathematical terms, it doesnt EQUAL infinity because infinity isnt a number but just for arguments sake, we say it does equal infinity.

however, infinity cannot be defined as you can actually get different sizes of infinity. for example, take the two groups of numbers, the NATURAL NUMBER GROUP N = [1, 2, 3, .........] and the INTEGER NUMBER GROUP I = [....-3, -2, -1, 0, 1, 2, 3...]

both of these grouos are of infinate size but we can clearly see that the integer group I is bigger than the natural number group N. to be more accurate, if the size of the natural number group is M, then the size of the integer group is

2m+1

hence we get one infinity which is bigger than another infinity.

how cool is that

Answer 10

The answer is yes. Calculate 1 divided by 1 =1, 1divided by .5 =2, 1 divided by .001= 1000, 1 divided by .0000001 = 1,000,000. As you can see, getting smaller and smaller divisors makes the answer grow. Go to 0, and the answer is undefinably large, some call it infinity. Hope this helps.

Answer 11

You can see this by looking at a graph y=1/x

When X=1. Y=1
When X=0.5, Y=2
When X=0.25, Y=4

Notice that as X gets lower, the Y value increases sharply.

Imagine X being 0.0000000000000000000001, then Y becomes very large. Imagine the X becoming even smaller (e.g. 100 zeros, then 1000 zeros) and how large Y becomes.

Thats one way of looking at it.