Mastering Partial Products and the Distributive Property in Multiplication

The video tutorial explains how to multiply using partial products and the distributive property. It demonstrates two methods to find the product of 5 and 17: using an area model and using paper and pencil. The area model involves drawing a model to find partial products, while the paper and pencil method involves multiplying ones and tens separately before adding the results. Both methods arrive at the same product, 85.

What mathematical properties are introduced for multiplication in this video?

• Associative and Commutative Properties

• Distributive Property and Partial Products

• Inverse Property and Distributive Property

• Identity Property and Zero Property

What is the first step in using an area model to multiply 5 by 17?

• Multiply 5 by 10

• Draw a model with a base of 17 and a height of 5

• Multiply 5 by 7

• Draw a model with a base of 5 and a height of 17

According to the distributive property, how can we write the equation for 5 times 17?

• 5 times 10 plus 5 times 5

• 5 times 17 plus 5 times 1

• 5 times 7 plus 5 times 10

• 5 times 10 plus 5 times 7

What are the partial products when using an area model to multiply 5 by 17?

• 50 and 35

• 35 and 50

• 85 and 0

• 17 and 5

When using paper and pencil, what is the result of multiplying 5 by the ones place in 17?

• 85

• 17

• 35

• 50

What is the final step in both methods to find the product of 5 and 17?

• Divide the partial products

• Multiply the partial products

• Subtract the partial products

• Add the partial products