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Written Multiplication Methods

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Written Multiplication Methods

Multiplication methods illustration

📚 Part 1: Extended Multiplication Method

1. Complete the extended multiplication for 26 × 4:

26 × 4 = (20 × 4) + (6 × 4)

20 × 4 = _______

6 × 4 = _______

Total: _______ + _______ = _______

2. Use the extended method to solve 43 × 6. Show all your working:
3. Which shows the correct extended method for 35 × 8?

(30 × 8) + (5 × 8) = 240 + 40 = 280

(35 × 8) = 280

(3 × 8) + (5 × 8) = 24 + 40 = 64

(30 × 5) + (8 × 5) = 150 + 40 = 190

✏️ Part 2: Contracted Multiplication Method

4. Complete this contracted multiplication:

   2 7
×   5
-----
 ___

5. Use the contracted method to solve 46 × 7. Show your working:
6. A school needs to order 38 boxes of pencils. Each box contains 6 pencils. Use the contracted method to find the total number of pencils:

Total pencils: _______

🔍 Part 3: Understanding and Problem Solving

7. Explain why we use place value when doing written multiplication:
8. A bakery makes 24 muffins per batch. They need to make 8 batches for a school event. Choose the best method to solve this problem and show your working:

Extended method

Contracted method

Either method works equally well

Total muffins: _______

9. Check your answer to question 8 by estimating. Round 24 to the nearest 10 and multiply:

Estimate: _______ × 8 = _______

Is your answer from question 8 reasonable? _______

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