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Large Number Multiplication

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Large Number Multiplication

Large Number Multiplication

Large number multiplication illustration

🧮 Part 1: Mental Strategies

1. Use mental strategies to solve these problems. Show your thinking:

a) 4,000 × 6 = _________

b) 250 × 8 = _________

c) 1,500 × 4 = _________

2. Circle the best mental strategy for solving 3,200 × 7:

Break it down: (3,000 × 7) + (200 × 7)

Round to 3,000 and multiply

Use repeated addition 7 times

Convert to a smaller problem first

📝 Part 2: Written Strategies - Single Digit

3. Use the standard algorithm to solve these multiplication problems. Show all your working:

a) 2,847 × 6

b) 5,639 × 8

c) 7,284 × 9

4. A cinema has 1,847 seats. If they sell tickets for 7 sessions, how many tickets can they sell in total?

Answer: _________ tickets

🔢 Part 3: Two-Digit Multiplication

5. Solve these two-digit multiplication problems using the standard algorithm:

a) 1,456 × 23

b) 3,827 × 45

c) 2,694 × 67

6. Which strategy would be most efficient for solving 4,500 × 12?

Standard algorithm

Mental strategy: 4,500 × 10 + 4,500 × 2

Area model

Repeated addition

🏪 Part 4: Real-World Problems

7. A school orders 1,248 pencils for each of their 15 classes. How many pencils do they order altogether?

Answer: _________ pencils

8. A factory produces 2,567 toys per day. How many toys will they produce in 28 days?

Answer: _________ toys

9. Concert tickets cost $47 each. If 1,834 people buy tickets, how much money will be collected?

Answer: $_________

10. A delivery truck can carry 1,675 kilograms. If 36 trucks are loaded to capacity, what is the total weight being transported?

Answer: _________ kilograms

🎯 Part 5: Strategy Selection

11. For each problem below, tick the boxes next to ALL strategies that would work well:

Problem: 6,000 × 8

Mental strategy

Standard algorithm

Break apart method

Doubling and halving

Problem: 3,847 × 29

Mental strategy

Standard algorithm

Area model

Estimation first, then calculate

12. Explain why you might choose a mental strategy over a written strategy for some multiplication problems:

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