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Modulus of a negative integer is always ...

Modulus of a negative integer is always . . . . . . . . . . . . . . . . . .

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To solve the question, we need to understand the concept of modulus (or absolute value) of an integer, particularly a negative integer. ### Step-by-Step Solution: 1. **Understanding Modulus**: The modulus of a number refers to its absolute value. It represents the distance of that number from zero on the number line, regardless of the direction (positive or negative). 2. **Negative Integer Example**: Let's take a negative integer as an example, say -5. The modulus of -5 is calculated as follows: \[ |-5| = 5 \] Here, we see that the modulus of -5 is 5, which is a positive number. 3. **Generalizing the Concept**: This concept holds true for all negative integers. If we take any negative integer, say -x (where x is a positive integer), the modulus is: \[ |-x| = x \] Again, x is positive. 4. **Conclusion**: Therefore, the modulus of any negative integer is always positive. ### Final Answer: The modulus of a negative integer is always **positive**.
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