1. **State the problem:** We need to find the coordinates of point $Q(4, -3)$ after it is rotated 180° clockwise around the origin. 2. **Formula for rotation:** Rotating a point $(x, y)$ by 180° clockwise about the origin results in the point $(-x, -y)$. 3. **Apply the formula:** For $Q(4, -3)$, the rotated point $Q'$ is: $$Q' = (-4, 3)$$ 4. **Explanation:** Rotating 180° flips the point to the opposite quadrant, changing the signs of both coordinates. 5. **Final answer:** The coordinates of $Q'$ after rotation are $(\boxed{-4, 3})$.