1. **State the problem:** Arrange the numbers $-0.6$, $\frac{3}{10}$, $-\frac{1}{4}$, and $0.75$ in ascending order. 2. **Convert all numbers to decimals for easy comparison:** - $-0.6$ is already a decimal. - $\frac{3}{10} = 0.3$ - $-\frac{1}{4} = -0.25$ - $0.75$ is already a decimal. 3. **List the numbers in decimal form:** $$-0.6, -0.25, 0.3, 0.75$$ 4. **Arrange in ascending order (from smallest to largest):** $$-0.6 < -0.25 < 0.3 < 0.75$$ 5. **Match the order to the original numbers:** $$-0.6, -\frac{1}{4}, \frac{3}{10}, 0.75$$ 6. **Final answer:** Option A: $-0.6, -\frac{1}{4}, \frac{3}{10}, 0.75$