Decimal multiplication practice using 10x10 grids to represent products of tenths.

Let's solve each of these decimal multiplication problems using the grid models provided. Each grid is a 10×10 square, representing 1 whole, where:

- Each small square = 0.01 (1/100)
- The shaded regions represent the product of two decimals.

We’ll go through each problem step by step.

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Problem 1: 0.3 × 0.8

- 0.3 means 3 columns (30 squares) shaded vertically.
- 0.8 means 8 rows (80 squares) shaded horizontally.
- The overlapping region (intersection) is 3 columns × 8 rows = 24 squares.
- So, 24 out of 100 squares → 0.24

✔ Answer: 0.24

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Problem 2: 0.5 × 0.6

- 0.5 = 5 columns
- 0.6 = 6 rows
- Overlap = 5 × 6 = 30 squares → 0.30

✔ Answer: 0.30

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Problem 3: 0.2 × 0.4

- 0.2 = 2 columns
- 0.4 = 4 rows
- Overlap = 2 × 4 = 8 squares → 0.08

✔ Answer: 0.08

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Problem 4: 0.6 × 0.7

- 0.6 = 6 columns
- 0.7 = 7 rows
- Overlap = 6 × 7 = 42 squares → 0.42

✔ Answer: 0.42

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Problem 5: 0.6 × 0.2

- 0.6 = 6 columns
- 0.2 = 2 rows
- Overlap = 6 × 2 = 12 squares → 0.12

✔ Answer: 0.12

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Problem 6: 0.9 × 0.4

- 0.9 = 9 columns
- 0.4 = 4 rows
- Overlap = 9 × 4 = 36 squares → 0.36

✔ Answer: 0.36

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Problem 7: 0.3 × 0.7

- 0.3 = 3 columns
- 0.7 = 7 rows
- Overlap = 3 × 7 = 21 squares → 0.21

✔ Answer: 0.21

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Problem 8: 0.7 × 0.8

- 0.7 = 7 columns
- 0.8 = 8 rows
- Overlap = 7 × 8 = 56 squares → 0.56

✔ Answer: 0.56

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Problem 9: 0.9 × 0.8

- 0.9 = 9 columns
- 0.8 = 8 rows
- Overlap = 9 × 8 = 72 squares → 0.72

✔ Answer: 0.72

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Problem 10: 0.3 × 0.2

- 0.3 = 3 columns
- 0.2 = 2 rows
- Overlap = 3 × 2 = 6 squares → 0.06

✔ Answer: 0.06

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Problem 11: 0.2 × 0.8

- 0.2 = 2 columns
- 0.8 = 8 rows
- Overlap = 2 × 8 = 16 squares → 0.16

✔ Answer: 0.16

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Problem 12: 0.3 × 0.9

- 0.3 = 3 columns
- 0.9 = 9 rows
- Overlap = 3 × 9 = 27 squares → 0.27

✔ Answer: 0.27

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 0.24 |
| 2 | 0.30 |
| 3 | 0.08 |
| 4 | 0.42 |
| 5 | 0.12 |
| 6 | 0.36 |
| 7 | 0.21 |
| 8 | 0.56 |
| 9 | 0.72 |
| 10 | 0.06 |
| 11 | 0.16 |
| 12 | 0.27 |

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🔍 Explanation:

Each grid represents 1 whole divided into 100 parts (10×10). When multiplying two decimals like `a × b`, we:
1. Shade `a` of the columns (for the first decimal).
2. Shade `b` of the rows (for the second decimal).
3. The overlapping area is the product — count the number of shaded squares and divide by 100.

This visual method helps understand how decimal multiplication works in terms of area.

Let me know if you'd like a printable version or explanation for any specific one!