Sure! Let's break down the problem step by step. --- ## **Step : Understand the Calculation** The expression to solve is: ``` 1.430 × 29.751 − 8.7 ``` --- ## **Step 2: Apply Significant Figures Rules** ### **Multiplication/Division** - The answer should have as many significant figures as the factor with the **least** significant figures. - **1.430** has 4 significant figures. - **29.751** has 5 significant figures. - So, multiplication result should have **4 significant figures**. ### **Addition/Subtraction** - The answer should have as many **decimal places** as the number with the fewest decimal places. - The result from multiplication has 4 sig figs (we'll check decimal places after calculation). - **8.7** has **1 decimal place**. --- ## **Step 3: Do the Calculation** 1. **Multiply:** \( 1.430 \times 29.751 = 42.53993 \) (Round to 4 sig figs: **42.54**) 2. **Subtract:** \( 42.54 - 8.7 = 33.84 \) When subtracting, keep **1 decimal place** (since 8.7 has 1 decimal place): So, answer: **33.8** --- ## **Step 4: Final Answer and Significant Figures** - **Significant figures in final answer:** **3** (since 33.8 has 3 sig figs) - **Final answer:** **33.8** --- ## **Summary Table** | Step | Number Used | Sig Figs | Decimal Places | |--------------|-------------|----------|---------------| | Multiplying | 1.430 | 4 | 3 | | | 29.751 | 5 | 3 | | Subtracting | 8.7 | 2 | 1 | --- ## **Final Boxed Answers** - **Significant figures:** `3` - **Final answer:** `33.8` --- If you need more explanation about rules for significant figures, just let me know!