Using the Associative Property to Solve Multiplication Problems

This video tutorial explains the associative property of multiplication, demonstrating how it can simplify calculations. The property states that the grouping of numbers does not affect the product. Examples include operations with negative numbers, fractions, and decimals, showing how rearranging parentheses can make calculations easier. The tutorial emphasizes understanding and applying the associative property to solve multiplication problems efficiently.

What does the associative property of multiplication state?

• a * (b * c) = (a * b) * c

• a + (b + c) = (a + b) + c

• a * b = b * a

• a + b = b + a

When applying the associative property to 4 * (-5) * 8, what is the result?

• 180

• -160

• -180

• 160

How does the associative property simplify the multiplication of 1/5 and -34/5?

• By grouping 1/5 and 5 to get 1

• By changing the order of multiplication

• By using the distributive property

• By converting to a mixed number

What is the result of applying the associative property to the multiplication of -15 and 0.2?

• -3

• -30

• -27

• -135

Which of the following is a benefit of using the associative property in multiplication?

• It converts fractions to decimals

• It allows for addition of numbers

• It simplifies calculations by rearranging parentheses

• It changes the order of numbers