https://file.aiquickdraw.com/mathbot/file/1726668117940xee0aise.jpg

Let's break down the answers and properties of multiplication step-by-step based on the image provided:

### (a) \( 4 \times (3 \times 9) = (4 \times 3) \times \)
- Here, the missing number is \( 9 \).
- Property: This is an application of the **Associative Property of Multiplication**, which states that the way in which numbers are grouped in multiplication does not affect the result.

**Answer for (a)**: \( 9 \), Associative Property of Multiplication

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### (b) \( 8 \times 0 = \)
- Here, the missing number is \( 0 \).
- Property: This is the **Multiplication Property of Zero**, which states that any number multiplied by zero results in zero.

**Answer for (b)**: \( 0 \), Multiplication Property of Zero

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### (c) \( 1 \times = 5 \)
- Here, the missing number is \( 5 \).
- Property: This is the **Identity Property of Multiplication**, which states that any number multiplied by 1 remains unchanged.

**Answer for (c)**: \( 5 \), Identity Property of Multiplication

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### (d) \( 2 \times = 5 \times 2 \)
- Here, the missing number is \( 5 \).
- Property: This is the **Commutative Property of Multiplication**, which states that changing the order of the numbers in multiplication does not change the result.

**Answer for (d)**: \( 5 \), Commutative Property of Multiplication

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Let me know if you'd like further details or clarifications.

### Relative Questions:
1. What is the difference between the associative and commutative properties of multiplication?
2. How does the identity property apply to multiplication and addition differently?
3. Can the multiplication property of zero be applied in division? Why or why not?
4. Why is the commutative property important in solving multiplication problems?
5. Can you think of a real-life scenario where the associative property is useful?

### Tip:
Always remember that the order or grouping of factors in multiplication doesn’t change the product—this can help you solve equations more efficiently!

Fill in the blanks with the correct numbers and choose the property of multiplication for each.

This worksheet helps students practice filling in multiplication blanks while identifying key properties such as the associative, commutative, identity, and zero properties. Suitable for Grades 3-5.

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