1. **State the problem:** We are asked to estimate two expressions by rounding each number to 1 significant figure and then computing the results. --- 2. **Part (a):** Estimate $\frac{8.2 \times 6.7}{0.46}$ - Round each number to 1 significant figure: - $8.2 \to 8$ - $6.7 \to 7$ - $0.46 \to 0.5$ - Compute numerator: $8 \times 7 = 56$ - Compute denominator: $0.5$ - Compute estimate: $$\frac{56}{0.5} = 56 \times 2 = 112$$ --- 3. **Part (b):** Estimate $\frac{23.4 \times 13.9}{0.18}$ - Round each number to 1 significant figure: - $23.4 \to 20$ - $13.9 \to 10$ - $0.18 \to 0.2$ - Compute numerator: $20 \times 10 = 200$ - Compute denominator: $0.2$ - Compute estimate: $$\frac{200}{0.2} = 200 \times 5 = 1000$$ --- **Final estimated answers:** - (a) $112$ - (b) $1000$