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Multiplication Arrays and Distribution
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Multiplication Arrays and Distribution
📊 Part 1: Understanding Arrays
1. Which array correctly represents 4 × 6?
4 rows of 4 counters
4 rows of 6 counters
6 rows of 6 counters
2 rows of 12 counters
2. Draw an array to represent 5 × 8 in the box below:
3. Look at this array pattern: 3 rows of 12 counters. Which multiplication equations represent this array? (Select all that apply)
3 × 12 = 36
12 × 3 = 36
3 + 12 = 15
36 ÷ 3 = 12
4. A baker arranges muffins in 7 rows with 9 muffins in each row. How many muffins are there in total?
Answer: _________ muffins
🔄 Part 2: Distributive Property
5. Complete this distributive property equation: 6 × (10 + 4) = 6 × _____ + 6 × _____
6. Use the distributive property to solve 8 × 15. Break 15 into 10 + 5:
8 × 15 = 8 × (_____ + _____)
= 8 × _____ + 8 × _____
= _____ + _____
= _____
7. Which of these correctly shows the distributive property for 7 × 23?
7 × 20 + 7 × 3
7 + 20 × 7 + 3
7 × 23 + 7
20 × 3 + 7
8. A school has 9 classrooms. Each classroom has 24 desks. Use the distributive property to find the total number of desks. Show your working:
🎯 Part 3: Problem Solving
9. Estimate first, then calculate: 12 × 18
My estimate: _____ × _____ = approximately _____
Actual calculation using distributive property:
Final answer: _____
10. A cinema has 15 rows of seats. Each row has 22 seats. How many people can the cinema seat in total? Use arrays or the distributive property to solve this problem and explain your method.
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