Commutative, Associative, and Distributive Properties of Multiplication

The video tutorial covers the commutative, associative, and distributive properties of multiplication. It explains how the commutative property allows numbers to be multiplied in any order, the associative property allows numbers to be grouped differently without changing the product, and the distributive property involves multiplying a number by a sum by distributing the multiplier to each addend. Examples are provided for each property to illustrate these concepts.

What does the commutative property of multiplication state?

• The order of numbers affects the product.

• The grouping of numbers does not affect the product.

• The order of numbers does not affect the product.

• The grouping of numbers affects the product.

Which of the following is an example of the commutative property?

• 3 * (4 * 5) = (3 * 4) * 5

• 5 + 2 = 2 + 5

• 7 * 6 = 6 * 7

• 3 * 5 + 2 = 3 * (5 + 2)

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

• Change the order of numbers being multiplied.

• Change the grouping of numbers being multiplied.

• Add numbers in any order.

• Distribute multiplication over addition.

In the expression (3 * 1) * 4, which operation should be performed first according to the associative property?

• 1 * 4

• 3 * 4

• 3 * 1

• 4 * 1

What does the distributive property of multiplication state?

• Multiplication can be distributed over subtraction.

• Subtraction can be distributed over multiplication.

• Multiplication can be distributed over addition.

• Addition can be distributed over multiplication.

In the expression 3 * (5 + 2), how can the distributive property be applied?

• 3 * 5 * 2

• 3 * 5 + 3 * 2

• 3 + 5 * 2

• 5 + 2 * 3

Using the distributive property, what is the result of 7 * (6 + 4)?

• 70

• 60

• 80

• 90