Need help, clever math about infinity between 0 and 1 & about how many ways you can view one number?

I need help finding sites on the following 2 clever math The first one is about infinity. Something like "How many numbers are between 0 and 1" and the answer is infinity. I would like to know if the question is phrased correctly or no.

I can't seem to find website that contains that information. The second is how many ways you can view a number. For example the number 5You can view 5 as 5, or you can see it as 5.

5/15^1then I don't know if there is other ways to view a number... please help. Thank you very much. Asked by Natsume 26 months ago Similar questions: help clever math infinity ways view number Science > Math.

Similar questions: help clever math infinity ways view number.

Depends >"How many numbers are between 0 and 1" it depends on what you mean by "number". There are an infinite number of fractions between 0 and 1. But there are some numbers that are not fractions.

For instance, the famous number "pi". It cannot be exactly expressed as a fraction. Even 347862364927470/ 112787837484 is just an approximation.

The actual value of "pi" cannot be expressed as a fraction of any sort. That means that althought here are an infinity of fractions between 0 and 1, there is a BIGGER size of infinity, as there are an another infinite number of numbers like pi, that cannot be expressed as fractions. So there are at least two sizes of infinity.

----------------------- >The second is how many ways you can view a number. Another interesting question. Let's consider a BIG number, like 3628800.

You could represent it as the product of a bunch of smaller numbers, in this case 1 x 2 x 3 x 4 X 5 x 6 x 7 x 8 x 9 x 10. Or as a sum of smaller numbers. There are all kinds of interesting things known about these various decompositions.

For instance, Goldbach's conjecture, that every even number is the product of two primes. Nobody's found a counterexample, but neither has it been proved to be true. Somebody proved the weaker case that it's the sum of no more than 6 primes.

But that's still a ways to go down to just two primes.

1 > "How many numbers are between 0 and 1" and the answer is infinity. I would like to know if the question is phrased correctly or no. That's correct.

The answer is in fact a particular kind of infinity called aleph-one. Martin Gardner's book contains a pretty good chapter on the subject:books.google.com/books?id=orz0SDEakpYC&pg=PA332&lpg=PA332&dq=aleph-one+aleph-null&source=bl&ots=wHPKlTu6sY&sig=CPvcYHZAcrrOM5KGRe9QnKto6fI&hl=en&ei=dkPnSqq8Oc7hlAf-xYX8Bw&sa=X&oi=book_result&ct=result&resnum=8&ved=0CCQQ6AEwBzgK#v=onepage&q=aleph-one%20aleph-null&f=false .

How many numbers are between 0 and 1" and the answer is infinity. I would like to know if the question is phrased correctly or no. That's correct.

The answer is in fact a particular kind of infinity called aleph-one. Martin Gardner's book contains a pretty good chapter on the subject:books.google.com/books?id=orz0SDEakpYC&pg=PA332&lpg=PA332&dq=aleph-one+aleph-null&source=bl&ots=wHPKlTu6sY&sig=CPvcYHZAcrrOM5KGRe9QnKto6fI&hl=en&ei=dkPnSqq8Oc7hlAf-xYX8Bw&sa=X&oi=book_result&ct=result&resnum=8&ved=0CCQQ6AEwBzgK#v=onepage&q=aleph-one%20aleph-null&f=false.

2 > The second is how many ways you can view a number. I don't really know what you mean by "ways to view a number", but there are an infinite number of operations you can apply to a number.5*8/3^2sqrt(5)^2and so forth.

The second is how many ways you can view a number. I don't really know what you mean by "ways to view a number", but there are an infinite number of operations you can apply to a number.5*8/3^2sqrt(5)^2and so forth.

3 For the 2nd question, I meant to say things that we usually don't put in when we see a certain number. Like 5, we usually just see it as a 5. But 5 can also be written ((with the decimal) and 5 over 1.

Thank you for the help on the first one! .

For the 2nd question, I meant to say things that we usually don't put in when we see a certain number. Like 5, we usually just see it as a 5. But 5 can also be written ((with the decimal) and 5 over 1.

Thank you for the help on the first one!

PamPerdue replied to post #3: 4 > But 5 can also be written ("5" is the most reduced way to write the number, and it's unique. Beyond that, "5^1" isn't any particularly more "another way to write the number" than "sqrt(25)" is. There are cases where formulas don't have unique simplest forms.It's not clear whether "1 3/4" is simpler or less simple than "7/4" or "1.75"; it depends on the context.

But if it can be reduced to a single integer, it's almost always considered THE way to write the number.

But 5 can also be written ("5" is the most reduced way to write the number, and it's unique. Beyond that, "5^1" isn't any particularly more "another way to write the number" than "sqrt(25)" is. There are cases where formulas don't have unique simplest forms.It's not clear whether "1 3/4" is simpler or less simple than "7/4" or "1.75"; it depends on the context.

But if it can be reduced to a single integer, it's almost always considered THE way to write the number.

" "please help me! Math test tomorrow :(" "I am doing a math problem with my son and I do not know what this is... and a number...what do we do? " "Are you good at math?

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.