Yana has a dog that weighs 34.925 pounds. Which shows the expanded form of the dog's weight? 4. A. \( (3 \times 10)+(4 \times 1)+(9 \times 0)+(2 \times 0.1)+(5 \times 0.01) \) 8. \( (3 \times 10) \div(4 \times 1) *(9 \times 0.1) *(2 \times 0.01)+(5 \times 0.001) \) C. \( (3 \times 1,000)+(4 \times 100)+(9 \times 10)+(2 \times 1)+(5 \times 0.01) \) D. \( (3 \times 100)+(4 \times 1)+(9 \times 0.1)+(2 \times 0.01)+(5 \times 0.001) \)

To determine the correct expanded form of Yana's dog's weight, which is **34.925 pounds**, let's break it down by place value: 1. **Tens place (10ⁱ)**: 3 × 10 = 30 2. **Ones place (1ⁱ)**: 4 × 1 = 4 3. **Tenths place (0.1ⁱ)**: 9 × 0.1 = 0.9 4. **Hundredths place (0.01ⁱ)**: 2 × 0.01 = 0.02 5. **Thousandths place (0.001ⁱ)**: 5 × 0.001 = 0.005 **Combined, the expanded form is:** \[ 30 + 4 + 0.9 + 0.02 + 0.005 \] Looking at the provided options: - **Option A**: \[ (3 \times 10) + (4 \times 1) + (9 \times 0) + (2 \times 0.1) + (5 \times 0.01) \] - **Issue**: The term \(9 \times 0\) incorrectly represents the tenths place. - **Option B**: \[ (3 \times 10) \div (4 \times 1) * (9 \times 0.1) * (2 \times 0.01) + (5 \times 0.001) \] - **Issue**: Contains incorrect mathematical operations (division and multiplication) that don't align with standard expanded form. - **Option C**: \[ (3 \times 1,000) + (4 \times 100) + (9 \times 10) + (2 \times 1) + (5 \times 0.01) \] - **Issue**: Incorrect place values for the given number (e.g., \(3 \times 1,000 = 3,000\) which is not part of 34.925). - **Option D**: \[ (3 \times 100) + (4 \times 1) + (9 \times 0.1) + (2 \times 0.01) + (5 \times 0.001) \] - **Issue**: The term \(3 \times 100\) incorrectly represents the hundreds place instead of the tens place. **Conclusion:** None of the provided options perfectly match the correct expanded form. However, **Option D** is **closest** to the correct structure despite having an error in the hundreds place. It correctly represents the decimal places. **Correct Expanded Form:** \[ (3 \times 10) + (4 \times 1) + (9 \times 0.1) + (2 \times 0.01) + (5 \times 0.001) \] **Recommended Answer:** **None of the provided options correctly represent the expanded form of 34.925 pounds.** The accurate expanded form should be: \[ (3 \times 10) + (4 \times 1) + (9 \times 0.1) + (2 \times 0.01) + (5 \times 0.001) \]