1. **State the problem:** Estimate the value of $$\frac{0.482 \times 61.2^2}{\sqrt{98.01}}$$ using approximations to 1 significant figure. 2. **Approximate each value to 1 significant figure:** - $0.482 \approx 0.5$ - $61.2 \approx 60$ - $98.01 \approx 100$ 3. **Rewrite the expression with approximations:** $$\frac{0.5 \times 60^2}{\sqrt{100}}$$ 4. **Calculate the numerator:** $$0.5 \times 60^2 = 0.5 \times 3600 = 1800$$ 5. **Calculate the denominator:** $$\sqrt{100} = 10$$ 6. **Divide numerator by denominator:** $$\frac{1800}{10} = 180$$ 7. **Final answer:** The estimated value to 1 significant figure is **180**.