Simplifying Double Multiplication Expressions

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📚 Part 1: Understanding the Rule

Remember: When you have two multiplication operations, you can combine them into one! For example: (2 × 3) × 4 = 6 × 4 = 24, or you can write it as 2 × 3 × 4 = 24

1. Which expression is equal to (3 × 2) × 5?

3 × 2 × 5

3 + 2 × 5

(3 × 2) + 5

3 × (2 + 5)

2. What is the simplified form of (4 × 3) × 2?

4 × 3 × 2

4 + 3 + 2

12 × 2

Both A and C are correct

3. Which expressions are equal to (5 × 2) × 3? Check all that apply:

5 × 2 × 3

10 × 3

5 × (2 × 3)

✏️ Part 2: Simplify the Expressions

Instructions: Rewrite each double multiplication expression as a single multiplication expression, then solve.

4. (6 × 2) × 4 = _________ = _________

5. (3 × 5) × 2 = _________ = _________

6. (7 × 1) × 8 = _________ = _________

7. (4 × 4) × 3 = _________ = _________

8. (2 × 6) × 5 = _________ = _________

🧠 Part 3: Word Problems

9. Sarah has 3 boxes. Each box contains 4 packs of stickers. Each pack has 5 stickers. Write this as a double multiplication expression, then simplify it to find the total number of stickers.

Double multiplication: ________________

Simplified: ________________

Total stickers: ________________

10. A school has 2 floors. Each floor has 6 classrooms. Each classroom has 8 desks. How many desks are in the school? Show your work using both double multiplication and simplified multiplication.

11. Explain in your own words why (5 × 3) × 4 gives the same answer as 5 × 3 × 4.

Simplifying Double Multiplication Expressions

Simplifying Double Multiplication Expressions

📚 Part 1: Understanding the Rule

✏️ Part 2: Simplify the Expressions

🧠 Part 3: Word Problems

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