Question

what is just after 1?
i mean what type of number
ex:rational,irrational,integer,or u cant say

Answer 1

there is no "next number"

Answer 2

i dont think so @satellite73

Answer 3

the next "integer" is 2, but there is no number adjacent to 1 on the number line
numbers don't work that way

Answer 4

given any \(\epsilon>0\) you can find a rational number \(r\) with
\[1<r<1+\epsilon\]

Answer 5

also an irrational one

Answer 6

what do u mean "that way"
we will definitely have some number JUST after one
and THAT IS of what type im just asking

Answer 7

i think its a irrational number, because in between any two rational number you can always find a irrational number.

Answer 8

but @theloser we can also find rational too

Answer 9

@slaaibak
it quite common sense man
we will definitely have a real no but of what type m asking
dig some more deeper

Answer 10

no man actually i know the ans it is not a "real no"
but i want a strong explanation from any to digest it
i do not want to reveal it other wise u all may get biased with your explanation
@slaaibak

Answer 11

what do you mean by just after 1.. is it magnitude wise, if thats the case it could be complex. if you taking on the real axis than i think rational is definitely not an answer

Answer 12

*Bookmark

Answer 13

the real number system constitutes a "totaly ordered complete field" (up to isomorphism).

this means that if u r given any two real numbers, u can ALWAYS tell which one of them (assuming they're different) is greater (and hence, which one is smaller) than the other.

but u CANNOT actually tell what number (much less its type) is just after 1. if u could, you could also tell what is just after 1.33 or 1.333 or 1.333. That's (i guess) what @satellite73 meant by "numbers don't work that way" (numbers other than integers).

Answer 14

Hey... I agree with wat satellite73 and helder said... There's always infinitely many real numbers b/w two given numbers...To get it just consider the example... consider the integer next to 1... that's 2... but 1.5 lies between ... 1.2 even b/w them.. so is 1.12... 1.0111, 1.0101.... the thing is that u cant get any certain number to be restricted to be closest to 1...
Indeed we did questions like - find "any" two rational numbers b/w 1 and 2? that "any" was used due to this theory only...

Answer 15

Listen to my ques carefully
i m repeating it for all
WHAT IS THE TYPE OF NO. THAT IS JUST AFTER 1
(JUST MEANS TRULY "JUST" AFTER ONE )
THAT NO. REPRESENTED BY THAT "POINT" JUST AFTER 1 on the NO. LINE
surely you all cant deny the presence of THAT no
and i m just asking what is its type
i m not asking number it self
@satellite73
@saloniiigupta95
@helder_edwin