# 3rd Grade Multiplication Properties Worksheet

📆 11 Sep 2023
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3rd Grade Multiplication Properties Worksheet are for students to practice multiplying multi-digit numbers. The sheet has 20 questions, and students will be expected to answer all questions. This sheet is designed for students in the 3rd grade. This sheet can be used to practice multiplying multi-digit numbers.                 ### What is the commutative property of multiplication?

The commutative property of multiplication states that the order of factors can be changed without changing the product. For example, 3 x 4 is the same as 4 x 3, and both equal 12.

### Explain the associative property of multiplication.

The associative property of multiplication means that you can group three or more factors in any way, and the product will remain the same. For instance, (2 x 3) x 4 is equal to 2 x (3 x 4), and both equal 24.

### What does the distributive property of multiplication over addition involve?

The distributive property of multiplication over addition states that you can distribute (or multiply) a number to each term inside parentheses before adding. For example, 2 x (3 + 4) is equal to (2 x 3) + (2 x 4), and both equal 14.

### Provide an example of the commutative property.

Sure, an example of the commutative property is 5 x 7, which is the same as 7 x 5, and both equal 35.

### How can you use the associative property to multiply 2 x 3 x 4?

You can use the associative property to multiply 2 x 3 x 4 by grouping the numbers in any order you like. For instance, (2 x 3) x 4 equals 24, and 2 x (3 x 4) also equals 24.

### Apply the distributive property to the expression 4 x (6 + 2).

When you apply the distributive property to 4 x (6 + 2), it becomes (4 x 6) + (4 x 2), which equals 24 + 8, and the result is 32.

### Is the commutative property true for both multiplication and addition?

No, the commutative property holds true for multiplication, but it does not hold true for addition. You can change the order of factors in multiplication without changing the result, but the order of terms in addition matters.

### Give an example of the commutative property not working for addition.

An example where the commutative property doesn't work for addition is 3 + 5, which is not the same as 5 + 3. The first is 8, and the second is also 8, but they are not equal.

### How can you use the associative property to simplify (7 x 4) x 2?

To simplify (7 x 4) x 2 using the associative property, you can group the first two factors: 7 x (4 x 2). This simplifies to 7 x 8, which equals 56.

### Explain why the distributive property is important in math.

The distributive property is important because it helps simplify complex expressions and make calculations easier. It allows us to break down multiplication over addition or subtraction, making math more manageable and efficient.

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