The equation \(|−25|=25\) means that the absolute value of \(-25\) is equal to \(25\).
Here’s a word problem that can lead to this solution:
Word Problem:
A hiker descends down a mountain. The hiker is currently 25 meters below sea level. If we consider the sea level as 0 meters, what is the absolute depth of the hiker below sea level?
In this problem, the depth of -25 meters (the hiker is below sea level) leads to the absolute value equation \(|−25| = 25\), which represents the distance from sea level regardless of the direction (above or below).