Yes. This is because rational and Irrational Numbers are infinitely dense. Between any two such numbers there are infinitely many numbers and consequently there can be no "next" or consecutive number.
Yes, I believe they are. There is really no reasonable way to define "consecutive", for example, for arbitrary fractions; you can't say that a certain fraction is the "next number" after (say) 3/4, since for ANY two different fractions, you can always find a number between the two (just calculate the average of the two).
Consecutive integers added or subtracted will turn out to be odd numbers. You can't make 8 with consecutive integers.
There are two consecutive odd integers. The numbers are 39 and 41.
Not possible in consecutive integers, nearest is consecutive even integers: 148 & 152
There are two consecutive even integers. The numbers are 118 and 120.
The numbers are 55, and 57. Two consecutive integers have an odd sum.
The term "consecutive" only makes sense for integers; you can't solve this with integers.
No two consecutive integers have a sum of 2012.
The numbers are 101 and 102.
For any integer n, the numbers 2n + 1 and 2n + 3 are consecutive odd integers.
The numbers are 62 and 64 are two consecutive integers that equal 126.
25 consecutive numbers comprise any integer and the 24 integers that follow it, increasing the numbers by one each time.
There are no such integers.