Question
Which area model represents 4×56?
Answers
GPT-4o mini
To represent \( 4 \times 56 \) using an area model, you can break down the number 56 into more manageable parts.
1. **Break 56 into its components**: You can split 56 into 50 and 6:
- \( 56 = 50 + 6 \)
2. **Set up the area model**: Use a rectangle to represent the total area. Divide the rectangle into two parts:
- One part for \( 4 \times 50 \)
- One part for \( 4 \times 6 \)
3. **Calculate each area**:
- The area for \( 4 \times 50 = 200 \)
- The area for \( 4 \times 6 = 24 \)
4. **Combine the areas**: Add both areas together to find the total area:
- \( 200 + 24 = 224 \)
So the area model for \( 4 \times 56 \) will consist of two rectangles: one with dimensions \( 4 \) and \( 50 \) that has an area of \( 200 \), and another with dimensions \( 4 \) and \( 6 \) that has an area of \( 24 \). The total area (or the product \( 4 \times 56 \)) is then \( 224 \).
1. **Break 56 into its components**: You can split 56 into 50 and 6:
- \( 56 = 50 + 6 \)
2. **Set up the area model**: Use a rectangle to represent the total area. Divide the rectangle into two parts:
- One part for \( 4 \times 50 \)
- One part for \( 4 \times 6 \)
3. **Calculate each area**:
- The area for \( 4 \times 50 = 200 \)
- The area for \( 4 \times 6 = 24 \)
4. **Combine the areas**: Add both areas together to find the total area:
- \( 200 + 24 = 224 \)
So the area model for \( 4 \times 56 \) will consist of two rectangles: one with dimensions \( 4 \) and \( 50 \) that has an area of \( 200 \), and another with dimensions \( 4 \) and \( 6 \) that has an area of \( 24 \). The total area (or the product \( 4 \times 56 \)) is then \( 224 \).