If there are n number of natural numbers then how many numbers are between 1 and 2?

Question

parthkohli · Answer

$1 \text{ and 2 are consecutive natural numbers. }$ Did you get the hint?

parthkohli · Answer

And, Welcome To OpenStudy!

anonymous · Answer

I mean how many REAL numbers are between 1 and 2

ganeshie8 · Answer

1, 1.2, 1.3, 1.4, 1,45.... 2

plenty of real numbers right ?

parthkohli · Answer

Well. There are like an infinite number of real numbers even between two real numbers.

parthkohli · Answer

Here's where Calculus comes in. :D

terenzreignz · Answer

Density theorem, for starters, I saw a proof that there are just as many real numbers between 1 and 2 as there are real numbers all in all (or words to that effect)  Too bad I have forgotten it, though :(

parthkohli · Answer

$1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9$

Not enough.

$1.01,1.02,1.03 \cdots$

Not yet

$1.001,1.002 \cdots$

And that is how it goes.