distinct points on a number line-conceptual questions

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If x and y are distinct points on a number line,and integer z is located between x and y,what is the number of different possible values of z?
1. the distance between x and y is 6
2. xy is not an integer.

[m]OA:c[/m]

Guys while solving this question a no. of conceptual questions came to mind.Please clarify?
When we are talking about a number line,are we supposed to think that only (...-2,-1,0,1,2,....) can be represented?(-ives,zero and +ives)What about 2.5 ,2.6 (i.e decimals).Factually they CAn be represented right?I remember reading somewhere the definition of INTEGERS:Numbers that can be represented on the number line are called integers.Tha same question had some to mind then.While -2,0,2 are integers, .5,2.5 etc are not.
Source: — Data Sufficiency |

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uptowngirl92 wrote: When we are talking about a number line,are we supposed to think that only (...-2,-1,0,1,2,....) can be represented?(-ives,zero and +ives)What about 2.5 ,2.6 (i.e decimals).Factually they CAn be represented right?
Yes - the number line contains all real numbers, including decimals. So 2.5 is a point on the number line, as is 11, or 0, or -45.55, or Pi, or root(2).
uptowngirl92 wrote: I remember reading somewhere the definition of INTEGERS:Numbers that can be represented on the number line are called integers.Tha same question had some to mind then.While -2,0,2 are integers, .5,2.5 etc are not.
Don't know where you read that definition of integers, but you should probably stop reading that book! That's not a definition of integers.
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