Properties of Multiplication

The video tutorial covers key multiplication properties: commutative, associative, distributive, identity, and zero. It explains how these properties work with examples, emphasizing the flexibility and strategies they offer in solving multiplication problems. The distributive property is highlighted with a detailed breakdown, while identity and zero properties are briefly discussed. The tutorial concludes with a recap of all properties.

What does the commutative property of multiplication state?

• Multiplying by zero gives zero.

• Factors can be grouped in any way without changing the product.

• The order of factors can be changed without affecting the product.

• Multiplying by one leaves the factor unchanged.

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

• 2 x 0 = 0

• 2 x (3 x 4) = (2 x 3) x 4

• 2 x 1 = 2

• 2 x 3 = 3 x 2

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

• Multiply by zero to get zero.

• Multiply by one to keep the factor the same.

• Regroup factors without changing the product.

• Change the order of factors.

Which expression demonstrates the associative property?

• 2 x 0 = 0

• 2 x 1 = 2

• 2 x 3 = 3 x 2

• (2 x 3) x 4 = 2 x (3 x 4)

How does the distributive property help in multiplication?

• By allowing factors to be regrouped.

• By multiplying by zero to get zero.

• By breaking down factors to simplify multiplication.

• By changing the order of factors.

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

• 2 x 1 = 2

• 7 x (2 + 5) = (7 x 2) + (7 x 5)

• 2 x 3 = 3 x 2

• 2 x 0 = 0

What is the identity property of multiplication?

• Multiplying by zero gives zero.

• Multiplying by one leaves the factor unchanged.

• The order of factors can be changed without affecting the product.

• Factors can be regrouped without changing the product.

Which expression illustrates the identity property?

• 5 x (2 x 3) = (5 x 2) x 3

• 5 x 0 = 0

• 5 x 1 = 5

• 5 x 2 = 2 x 5

What does the zero property of multiplication state?

• The order of factors can be changed without affecting the product.

• Multiplying by zero gives zero.

• Multiplying by one leaves the factor unchanged.

• Factors can be regrouped without changing the product.

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

• 5 x 0 = 0

• 5 x 1 = 5

• 5 x (2 x 3) = (5 x 2) x 3

• 5 x 2 = 2 x 5