Step-by-step explanation: When solving a mathematical problem, it is important to follow the rules and conventions of the system being used. In many cases, taking the absolute value of a negative number simply involves flipping the sign and ignoring any negative signs. For example, |-3| = 3 instead of |-3| = -3. This simplifies calculations and makes it easier to understand the solution. Additionally, taking the absolute value ensures that the answer is always non-negative, which can be useful in certain contexts.