Exploring the Associative Property of Multiplication

This video tutorial explores the associative property of multiplication, emphasizing that the order of multiplication does not affect the product. It covers objectives such as using the associative property to rearrange terms and finding volumes of solids. The tutorial explains how to calculate volume using length, width, and height, and demonstrates the associative property with examples. It also discusses the use of brackets and order of operations in algebra. The video concludes with practice problems on volume calculation and a summary of key takeaways.

What is the main objective of learning the associative property of multiplication?

• To see that the product of several numbers is not affected by the order of multiplication

• To understand the difference between multiplication and division

• To learn how to add numbers in different orders

• To understand that the product of numbers changes with their order

How is volume calculated for a solid object?

• By dividing the length by the width and then multiplying by the height

• By subtracting the width from the length and then adding the height

• By multiplying the length, width, and height

• By adding the length, width, and height

In the example given, what are the dimensions of the rectangular prism used to find the volume?

• 6 units by 3 units by 4 units

• 5 units by 3 units by 4 units

• 6 units by 4 units by 3 units

• 5 units by 4 units by 3 units

What does the associative property of multiplication state?

• The difference of numbers changes with their order

• The same term multiplied in different groupings results in the same answer

• The product of numbers changes with their order

• The sum of numbers changes with their order

When using parentheses in multiplication, what should you do first?

• Multiply the numbers outside the parentheses

• Add the numbers inside the parentheses

• Do the operations inside the parentheses first

• Divide the numbers inside the parentheses

What is the volume of a rectangular prism with dimensions 7 units by 3 units by 7 units?

• 21 square units

• 21 cubic units

• 147 square units

• 147 cubic units

What is the correct label for the volume of a shape measured in cubic units?

• Cubic units

• Linear units

• Volume units

• Square units

If you multiply 4, 12, and 30 in any order, what will the product be?

• 144

• 1440

• 1200

• 360

What does the associative property allow you to do with the factors in a multiplication expression?

• Change the operation from multiplication to addition

• Change the values of the factors

• Change the grouping of the factors

• Change the order of the factors

What is the formula for calculating volume?

• Volume = length + width + height

• Volume = length - width - height

• Volume = length / width / height

• Volume = length × width × height