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Multiplying Decimals with Models

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Multiplying Decimals with Models

Grid models for decimal multiplication

🎯 Learning Goals

I can... use grid models to multiply decimals and understand what the product represents.

I can... explain my thinking when multiplying decimals using visual models.

📊 Part 1: Using Grid Models

1. Look at this 10×10 grid model for 0.3 × 0.4. How many small squares should be shaded?

7 squares

12 squares

34 squares

70 squares

2. Using a grid model, 0.2 × 0.6 = _______

0.8

0.12

1.2

8

3. Draw a grid model to show 0.5 × 0.3. Then write the answer.

Answer: 0.5 × 0.3 = _______

4. Maya says 0.4 × 0.7 = 2.8. Use a grid model to check if she's correct.

Maya is correct

Maya is incorrect. The answer is 0.28

Maya is incorrect. The answer is 0.11

✏️ Part 2: Real-World Applications

5. A rectangular garden is 0.8 miles long and 0.6 miles wide. What is the area of the garden?

Show your work using a model or strategy:

Answer: _______ square miles

6. Explain how you can use a 10×10 grid to multiply any two decimals with tenths.
7. Extension Challenge: Use any strategy to solve 0.25 × 0.4. Show your thinking.

Answer: _______

🔑 Answer Key

1. 12 squares (3 columns × 4 rows = 12 out of 100 squares)

2. 0.12 (2 columns × 6 rows = 12 out of 100 squares)

3. 0.15 (5 columns × 3 rows = 15 out of 100 squares)

4. Maya is incorrect. The answer is 0.28 (4 columns × 7 rows = 28 out of 100 squares)

5. 0.48 square miles (8 columns × 6 rows = 48 out of 100 squares)

6. Sample answer: Shade columns for the first decimal and rows for the second decimal. Count the overlapping squares and write as a decimal out of 100.

7. 0.1 or 0.10 (Strategies may include: breaking 0.25 into 0.2 + 0.05, using fraction equivalents, or area models)

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