1. **State the problem:** Round the number 8463 to 1 significant figure. 2. **Understand significant figures:** The first significant figure is the first non-zero digit from the left. 3. **Identify the first significant figure:** In 8463, the first digit is 8. 4. **Rounding rule:** Look at the digit immediately after the first significant figure to decide whether to round up or down. 5. The digit after 8 is 4, which is less than 5, so we round down. 6. **Replace all digits after the first significant figure with zeros:** 8000. 7. **Final answer:** 8463 rounded to 1 significant figure is **8000**.