To determine which number is an integer but does not belong in either of the subsets of integers, we need to consider different subsets that integers can belong to.
Typically, integers can be categorized into:
- Negative integers: Numbers less than zero, e.g., -1, -2, -3, etc.
- Zero: The integer 0.
- Positive integers: Numbers greater than zero, e.g., 1, 2, 3, etc.
Now, let's classify each of the provided numbers:
- -13: This number is a negative integer, so it belongs to the subset of negative integers.
- 0: This number is neither positive nor negative, but it is classified as an integer (specifically, it belongs to the subset of integers but not to positive or negative integers).
- 13: This number is a positive integer, so it belongs to the subset of positive integers.
Considering these classifications, both -13 and 13 belong to one of the subsets of integers (negative and positive, respectively). The number 0, while it is indeed an integer, does not belong to either the negative or positive subsets, since it is simply classified as zero.
Thus, the integer that does not belong in either of the subsets of integers is 0.