Understanding Properties and Calculating Fabric Costs

The video tutorial explains how to use the commutative and associative properties to simplify the multiplication of rational numbers. It uses a practical example of calculating the total cost of fabric needed for costumes. The teacher demonstrates how to rearrange terms in a multiplication expression to make calculations easier, ultimately finding the total cost of the fabric.

What is the commutative property used for in multiplication?

• Changing the order of numbers

• Grouping numbers differently

• Distributing numbers

• Adding numbers

How many costumes does Miss Moore need to make?

• 10

• 13

• 20

• 15

What is the cost per yard of fabric?

• $10

• $6

• $5

• $8

How much fabric is needed for each costume?

• 3/4 yard

• 1/2 yard

• 1 1/4 yards

• 1 yard

What expression represents the total amount of fabric needed?

• 13 / 3/4

• 13 + 3/4

• 13 x 3/4

• 13 - 3/4

Which property allows you to rearrange the terms in a multiplication expression?

• Commutative property

• Identity property

• Associative property

• Distributive property

Why is it beneficial to rearrange the expression using the associative property?

• To make the expression longer

• To change the result

• To simplify calculations

• To make the expression more complex

What is the result of multiplying 8 by 3/4?

• 6

• 24

• 8

• 12

What is the final total cost of the fabric?

• $78

• $64

• $84

• $52

What is the purpose of changing 8 to 8 over 1 in the calculation?

• To add it to another number

• To divide it by another number

• To make it a fraction for easier multiplication

• To subtract it from another number