Exploring the Associative Law of Multiplication

The video tutorial explains the associative law of multiplication, demonstrating how it allows for flexibility in the grouping of numbers during multiplication without affecting the result. The tutorial uses the example of multiplying 12, 3, and 10, showing that regardless of how the numbers are grouped, the result is the same. The video simplifies expressions and verifies results to illustrate the concept, concluding with a summary of the associative law's significance.

What is the first step in solving the expression (12 × 3) × 10?

• Multiply 12 by 3

• Multiply 12 by 10

• Multiply 3 by 10

• Add 12 and 3

What is the result of 12 × 3?

• 30

• 36

• 120

• 360

What is the next step after finding 12 × 3 in the expression (12 × 3) × 10?

• Subtract 10 from the result

• Divide the result by 10

• Multiply the result by 10

• Add 10 to the result

What is the associative law of multiplication?

• It states that the grouping of addition does not change the result

• It states that the grouping of multiplication does not change the result

• It states that the order of addition does not change the result

• It states that the order of multiplication does not change the result

According to the associative law, how can we rearrange (12 × 3) × 10?

• 12 × (10 × 3)

• (3 × 12) × 10

• 12 × (3 × 10)

• (12 × 10) × 3

What is the result of 3 × 10?

• 360

• 120

• 36

• 30

What is the result of 12 × 30?

• 320

• 300

• 380

• 360

What does the associative law of multiplication demonstrate in this problem?

• That addition is commutative

• That division is commutative

• That subtraction is associative

• That multiplication is associative

What is the final result of both methods used to solve the expression?

• 300

• 320

• 360

• 380

Why does the associative law of multiplication hold true in this example?

• Because the grouping of numbers does not affect the product

• Because subtraction is commutative

• Because the order of operations is followed

• Because addition is associative