* Number Line: Imagine a number line. Positive numbers are to the right of zero, and negative numbers are to the left. 3 is further to the right than -4.
* Magnitude: The magnitude (or absolute value) of 3 is 3, and the magnitude of -4 is 4. Since 3 is smaller than 4, 3 m/s has a smaller magnitude than -4 m/s. However, in terms of velocity, a positive value indicates movement in one direction, and a negative value indicates movement in the opposite direction.
* Context: While -4 m/s is a larger negative value, it represents a velocity in the opposite direction of 3 m/s. In a purely mathematical sense, 3 is greater than -4.
Important Note: When comparing velocities, it's crucial to consider both the magnitude (speed) and the direction.