Draw an area model to represent \( 4 \times 7 \). Break it apart using the distributive property of multiplication.

To represent \( 4 \times 7 \) using an area model and the distributive property, we can break it apart as follows: 1. **Area Model Representation**: - We can visualize \( 4 \times 7 \) as a rectangle where one side is 4 units long and the other side is 7 units long. 2. **Breaking it Apart**: - We can break \( 7 \) into two parts: \( 3 \) and \( 4 \). Thus, we can express \( 4 \times 7 \) as: \[ 4 \times (3 + 4) \] 3. **Using the Distributive Property**: - According to the distributive property, we can distribute \( 4 \) to both \( 3 \) and \( 4 \): \[ 4 \times 7 = 4 \times 3 + 4 \times 4 \] 4. **Calculating Each Part**: - Now, we calculate each part: - \( 4 \times 3 = 12 \) - \( 4 \times 4 = 16 \) 5. **Final Calculation**: - Adding these two results together gives: \[ 12 + 16 = 28 \] Thus, the area model shows that \( 4 \times 7 = 28 \) and can be broken apart using the distributive property as \( 4 \times 3 + 4 \times 4 \). If you would like a visual representation, please let me know!