1. **State the problem:** We need to estimate the values of two expressions by rounding each number to 1 significant figure and then performing the calculations. 2. **Part (a):** Calculate $$\frac{8.2 \times 6.7}{0.46}$$ rounded to 1 significant figure. - Round 8.2 to 1 significant figure: $$8$$ - Round 6.7 to 1 significant figure: $$7$$ - Round 0.46 to 1 significant figure: $$0.5$$ - Multiply numerator: $$8 \times 7 = 56$$ - Divide by denominator: $$\frac{56}{0.5} = 112$$ - Final estimate for (a): $$112$$ 3. **Part (b):** Calculate $$\frac{23.4 \times 13.9}{0.18}$$ rounded to 1 significant figure. - Round 23.4 to 1 significant figure: $$20$$ - Round 13.9 to 1 significant figure: $$10$$ - Round 0.18 to 1 significant figure: $$0.2$$ - Multiply numerator: $$20 \times 10 = 200$$ - Divide by denominator: $$\frac{200}{0.2} = 1000$$ - Final estimate for (b): $$1000$$ **Answers:** - (a) Estimated value: $$112$$ - (b) Estimated value: $$1000$$