Practice the Associative Property of Multiplication with this educational worksheet from SplashLearn.

You're working on a worksheet about the Associative Property of Multiplication, which states:

> When multiplying three or more numbers, the way you group them (i.e., which two you multiply first) does not change the product.

In symbols:
(a × b) × c = a × (b × c)

Let’s solve each problem step by step.

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🔢 Problem 1:

5 × 2 × 4

We already know:
5 × 2 × 4 = (5 × 2) × 4 = 10 × 4 = 40

Now we need to fill in:
5 × 2 × 4 = 5 × ___ = ___

This means we’re grouping 2 × 4 first, then multiplying by 5.

So:
→ 2 × 4 = 8
→ 5 × 8 = 40

✔ Fill in:
5 × [8] = [40]

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🔢 Problem 2:

5 × 2 × 4

Already given:
5 × 2 × 4 = 10 × 4 = 40

Now:
5 × 2 × 4 = 20 × ___ = ___

Wait — how do we get 20? That must be from 5 × 4 = 20, then multiply by 2.

So:
→ 5 × 4 = 20
→ 20 × 2 = 40

✔ Fill in:
20 × [2] = [40]

*(Note: This is still associative — we’re just grouping 5 and 4 together first, then multiplying by 2.)*

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🔢 Problem 3:

2 × 5 × 6

Given:
2 × 5 × 6 = 2 × 30 = 60 → This comes from (5 × 6) = 30, then 2 × 30.

Now we need:

#### First blank line:
2 × 5 × 6 = 5 × ___ = ___

Group 2 and 6 first:
→ 2 × 6 = 12
→ 5 × 12 = 60

✔ Fill in:
5 × [12] = [60]

#### Second blank line:
2 × 5 × 6 = 6 × ___ = ___

Group 2 and 5 first:
→ 2 × 5 = 10
→ 6 × 10 = 60

✔ Fill in:
6 × [10] = [60]

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## ✔ Final Answers:

Problem 1:

5 × 2 × 4 = 5 × [8] = [40]

Problem 2:

5 × 2 × 4 = 20 × [2] = [40]

Problem 3:

- 5 × [12] = [60]
- 6 × [10] = [60]

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## 🧠 Why this works:
The Associative Property lets you regroup multiplication without changing the result. Whether you multiply 5×2 first, or 2×4 first, or 5×4 first — as long as all three numbers are multiplied, the answer is always the same.

This helps simplify mental math! For example, in 2 × 5 × 6, it’s easier to do 2 × 5 = 10, then 10 × 6 = 60 — that’s using the associative property smartly!

Let me know if you’d like a visual diagram or more examples!