Associative Property of Multiplication

The video tutorial explains the associative property of multiplication and its application in determining the dimensions of a rectangular prism given its volume. It provides examples with different volumes, demonstrating how to decompose factors and verify solutions using the volume formula. The tutorial emphasizes that the order of multiplication does not affect the product, allowing flexibility in finding dimensions.

What does the associative property of multiplication allow you to do?

• Multiply numbers in any order

• Divide numbers in any order

• Add numbers in any order

• Subtract numbers in any order

How is volume measured?

• In cubic units

• In linear units

• In circular units

• In square units

If a rectangular prism has a volume of 56 unit cubes, which of the following is a possible set of dimensions?

• 8 units, 3 units, 2 units

• 6 units, 5 units, 2 units

• 7 units, 8 units, 1 unit

• 7 units, 4 units, 2 units

In the example with a volume of 56 unit cubes, what is the result of grouping 4 and 2 together?

• 2 * 7 = 56

• 7 * 4 = 56

• 4 * 2 = 56

• 8 * 7 = 56

For a volume of 108 unit cubes, which decomposition of 12 is used?

• 3 * 4

• 4 * 3

• 6 * 2

• 9 * 1

What is the volume of a prism with dimensions 4 units, 3 units, and 9 units?

• 72 unit cubes

• 36 unit cubes

• 108 unit cubes

• 54 unit cubes

In the practice problem with a volume of 70 unit cubes, what is one possible set of dimensions?

• 5 units, 5 units, 2 units

• 8 units, 4 units, 2 units

• 10 units, 7 units, 1 unit

• 7 units, 5 units, 2 units

How can 21 be decomposed in the problem with a volume of 126 unit cubes?

• 3 * 7

• 6 * 3

• 7 * 3

• 9 * 2

What is the result of grouping 3 and 6 together in the problem with a volume of 126 unit cubes?

• 18 * 7 = 126

• 21 * 6 = 126

• 9 * 7 = 126

• 3 * 6 = 126

Which of the following is NOT a correct representation of volume?

• Cubic units

• Unit cubes

• Square units

• Units cubed