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Multiplication Arrays and Models

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Multiplication Arrays and Models worksheet preview

Multiplication Arrays and Models

Array and area model illustration

📊 Part 1: Arrays for 2-digit × 1-digit Multiplication

1. Draw an array to show 23 × 4. Break it into parts to make it easier.

23 × 4 = (20 × 4) + (3 × 4) = _____ + _____ = _____

2. Complete the array calculation for 35 × 3:

(30 × 3) + (5 × 3) = 90 + 15 = 105

(30 × 3) + (5 × 3) = 90 + 18 = 108

(35 × 3) = 95

3. Use arrays to solve these problems. Show your working:

a) 42 × 6 = _____

b) 27 × 5 = _____

c) 38 × 4 = _____

📐 Part 2: Area Models for 2-digit × 2-digit Multiplication

4. Complete this area model for 24 × 13:

Fill in the missing parts:

20 × 10 = _____ 20 × 3 = _____

4 × 10 = _____ 4 × 3 = _____

Total: _____ + _____ + _____ + _____ = _____

5. Which area model correctly shows 32 × 15?

(30 × 10) + (30 × 5) + (2 × 10) + (2 × 5)

(30 × 15) + (2 × 15)

Both methods above are correct

6. Draw area models and solve:

a) 23 × 14 = _____

b) 45 × 22 = _____

🧩 Part 3: Problem Solving

7. A school has 26 classes with 28 students in each class. Use an area model to find the total number of students.
8. Jake arranges 48 stickers into 6 equal rows. How many stickers are in each row? Draw an array to help solve this.

Answer: _____ stickers per row

9. Choose the best method (array or area model) for each problem and explain why:

a) 67 × 8 Method: _____________ Why: _________________________

b) 34 × 26 Method: _____________ Why: _________________________

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