The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of both 3 and -3 is 3. This indicates that both numbers have the same absolute value.
In general, for any positive integer x, there are exactly two integers that will have the same absolute value: x and -x. The only exception to this rule is when the integer is zero, as its absolute value is 0, and it is its own negative.
Thus, to summarize:
- For any positive integer, there are 2 different integers with the same absolute value.
- For zero, there’s just 1 integer (which is 0 itself).
So, the answer depends on whether you’re considering positive integers, negative integers, or zero:
- Positive integer: 2 integers
- Negative integer: 2 integers
- Zero: 1 integer