https://file.aiquickdraw.com/mathbot/file/1727229034817u6nllr87.jpg

Let's go through each part of the question step by step.

### (a) \( (6 \times 8) = (3 \times 6) \times 8 \)

- The first equation shows a regrouping of factors: \( 6 \times 8 \) and \( 3 \times 6 \times 8 \). This is an example of the **Associative Property** of multiplication, which states that the grouping of factors can change, but the product remains the same.

### (b) \( 0 \times 7 = \square \)

- Multiplying any number by zero results in zero. So, \( 0 \times 7 = 0 \). This demonstrates the **Zero Property** of multiplication, where any number multiplied by 0 equals 0.

### (c) \( \square \times 1 = 4 \)

- Here, the blank should be filled with 4 because multiplying any number by 1 leaves it unchanged. Thus, \( 4 \times 1 = 4 \), which is the **Identity Property** of multiplication.

### (d) \( 9 \times 8 = \square \times 9 \)

- This equation shows that you can switch the order of the factors without changing the product: \( 9 \times 8 = 8 \times 9 \). This is an example of the **Commutative Property** of multiplication, where changing the order of the factors does not change the result.

#### Answer Key:
- (a) Associative Property
- (b) Zero Property
- (c) Identity Property
- (d) Commutative Property

Let me know if you want further details or have any questions!

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Here are 5 related questions to help you expand your understanding:
1. What is the Distributive Property in multiplication, and how does it differ from the Associative Property?
2. Can you provide an example where the Commutative Property applies in addition?
3. Why is the Identity Property important in mathematical operations?
4. How does the Zero Property affect solving equations involving multiplication?
5. Can you think of a situation where grouping factors differently (Associative Property) might be useful in real-life problems?

**Tip**: Remember that the properties of multiplication can also help you simplify calculations, especially in mental math!

Fill in the blanks and choose the property of multiplication for each statement.

Solve multiplication problems and identify the Associative, Commutative, Zero, and Identity Properties of multiplication. This problem involves filling in the blanks and choosing the correct multiplication property.

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