Short Answer 
The modulus operation converts negative numbers to their positive counterparts, effectively reflecting values on the number line. For example, applying modulus to -31.889 results in | -31.889 | = 31.889, emphasizing that the modulus function focuses on absolute values.
Step 1: Understanding Modulus
The modulus operation refers to obtaining the absolute value of a number, which converts negative numbers to positive. For any real number, modulus removes the negative sign, effectively reflecting it on the number line. Thus, when you see the notation |x|, it means you’re working with the positive value of x, regardless of its sign.
Step 2: Applying Modulus to the Expression
When we apply the modulus operation to the expression | -31.889 |, we focus solely on the absolute value. This means we ignore the negative sign, resulting in a positive output. The mathematical transformation follows as:
- Identify the negative number: -31.889
- Apply modulus to convert it: | -31.889 | = 31.889
Step 3: Key Takeaways
In conclusion, the modulus operation is crucial for determining the positive value of any number. Remember that:
- The modulus of a negative number always gives a positive result.
- For example, | -31.889 | = 31.889
- It simplifies calculations by focusing only on magnitudes rather than signs.