Looking at Model 4, I can see it's a 5x5 grid. The pink area covers 3 columns (representing 0.6 of 5, which is 3) and 3 rows (also representing 0.6 of 5, which is 3). This represents 0.6 × 0.6 = 0.36, not 0.4 × 0.4. The overlapping area would be 3×3 = 9 squares out of 25 total squares, which equals 0.36.
Based on my analysis:
- Model 1: Correctly represents 0.4 × 0.4 = 0.16 (using a 5x5 grid with 2x2 overlap)
- Model 2: Incorrect - only shows one factor (0.4), no multiplication represented
- Model 3: Correctly represents 0.4 × 0.4 = 0.16 (using a 5x5 grid with 2x2 overlap)
- Model 4: Incorrect - represents 0.6 × 0.6 = 0.36
The problem asks to solve the task shown in the image, which appears to be identifying which model correctly represents 0.4 × 0.4. Both Model 1 and Model 3 correctly represent this multiplication, while Model 2 and Model 4 do not.
Since both Model 1 and Model 3 are correct representations, I need to determine if there's a specific requirement or if the question expects me to identify all correct models. Given that the original grid was 10x10 and showed the overlapping region as the answer, both Model 1 and Model 3 follow this same principle of showing the intersection of two 0.4 factors.
The solution is that Models 1 and 3 correctly represent 0.4 × 0.4 = 0.16, while Models 2 and 4 do not.
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals using models worksheet.
