1. The problem asks us to find the value of $- \frac{1}{3} \times 7.5241$. 2. First, multiply $\frac{1}{3}$ by $7.5241$. 3. $$\frac{1}{3} \times 7.5241 = \frac{7.5241}{3} = 2.508033333...$$ 4. Now add the negative sign in front to get: 5. $$- 2.508033333... = -2.508033$$ 6. Rounded to six decimal places, the final answer is $-2.508033$. This means when you multiply $\frac{1}{3}$ by $7.5241$ and apply a negative sign, the result is approximately $-2.508033$.