Exploring the Properties of Multiplication

What does the commutative property of multiplication state?

• The order of factors does not change the product.

• The grouping of factors does not change the product.

• Any number multiplied by one remains the same.

• Any number multiplied by zero results in zero.

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

• 5 × 0 = 0

• 2 × (3 × 4) = (2 × 3) × 4

• 3 × 1 = 3

• 4 × 3 = 3 × 4

What does the associative property of multiplication state?

• The order of factors does not change the product.

• The grouping of factors does not change the product.

• Any number multiplied by one remains the same.

• Any number multiplied by zero results in zero.

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

• 4 × 3 = 3 × 4

• 5 × 0 = 0

• 2 × (3 × 4) = (2 × 3) × 4

• 3 × 1 = 3

What does the distributive property of multiplication involve?

• Multiplying each addend separately and then adding the products.

• Changing the order of factors.

• Grouping factors in any order.

• Multiplying any number by one.

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

• 4 × 3 = 3 × 4

• 8 × 4 = (3 + 5) × 4

• 3 × 1 = 3

• 2 × (3 × 4) = (2 × 3) × 4

What does the identity property of multiplication state?

• The grouping of factors does not change the product.

• Any number multiplied by zero results in zero.

• The order of factors does not change the product.

• Any number multiplied by one remains the same.

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

• 2 × (3 × 4) = (2 × 3) × 4

• 5 × 0 = 0

• 3 × 1 = 3

• 4 × 3 = 3 × 4

What does the zero property of multiplication state?

• The order of factors does not change the product.

• Any number multiplied by zero results in zero.

• The grouping of factors does not change the product.

• Any number multiplied by one remains the same.

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

• 5 × 0 = 0

• 4 × 3 = 3 × 4

• 2 × (3 × 4) = (2 × 3) × 4

• 3 × 1 = 3