Answer: positive
The absolute value of every nonzero integer is a positive integer.
Examples are
|-2| = 2
|7| = 7
The absolute value represents distance which can never be negative. Negative distance does not make sense.
An absolute value of |x| {modulus of x} is the value of a real number x. The absolute value of every nonzero integer is a positive integer. The given blank can be filled with word "positive".
An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.
Since an absolute value always return a real value, without negative symbol. Therefore, when a value is substituted in the modulus it always return a positive value.
Now, an integer is a number that can be written without using a fractional component. Also, a positive integer is a countable number, while a negative integer is countable number with negative symbol.
Therefore, The absolute value of every nonzero integer is a positive integer.
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