Multiplicationn
Area Model
Word Problems
Partial Products
Vocabulary
100

60 x 8=____

60x8= 480

100

Use the area model to solve this problem:

4 x 37 = _____


148

100

A toy factory makes 263 toy cars and 48 toy trucks every day. How many toys are made in 4 days?

The factory makes 1,244 toys in 4 days. 

100

What are the partial products when finding 532×6?

3,000; 180; 12

100

What is a product?

Definition: The product is the result you get when you multiply two or more numbers together. For example, in the equation 3×4=123 \times 4 = 123×4=12, the product is 12.

200

700 x 5 = ____

700 x 5 =3,500

200

Use the area model to solve this problem:


5 x 783 = ___________

5 x 783 = 3915

200

A school store sells boxes of pencils for $125 and boxes of markers for $235. If the store sells 4 boxes of pencils and 3 boxes of markers, what is the total amount of money the store makes?

The total amount of money the store makes is $1,205.

200

What are the partial products when finding 478×5? 

Partial Products: 2,000; 350; 40

200

What is a partial product?

Definition: A partial product is the result of multiplying one part of a number by another number. When finding the total product, you can add all the partial products together.

300

9 x 9,000= ______________

9 x 9,000 = 81,000

300

Use the area model to solve this problem:


5 x 3,691 = ___________

5 x 3,691 = 18,455

300

In each of 4 soccer games last month, Carlos scored 225 points. Use mental math to find the total score for Carlos’s 4 games.

Since Carlos scored 225 points in each game, we can add 225 four times to find the total or multiply by 4:

225+225=450

450+225=675

675+225=900

So, Carlos’s total score for 4 games is 900 points.

300

What are the partial products when finding 3,215×3 ? 

Partial Products: 9,000; 600; 30; 15

300

What is an Area Model? Draw an example on your whiteboard.  

Definition: An area model is a visual representation used to show the multiplication of two numbers using rectangles. The length and width of the rectangle represent the two numbers being multiplied, and the area of the rectangle shows the product.

400

Which expression has the same value as 4 × 234?


A. (4 × 200) + (4 × 30) + (4 × 4)

B. (4 × 2) + (4 × 30) + (4 × 4)  

C. (4 × 2) + (4 × 300) + (4 × 4) 

D. (4 × 200) + (4 × 3) + (4 × 4)  

A. (4 × 200) + (4 × 30) + (4 × 4)

400

Use the area model to solve this problem:


2 x 793 = ___________

2 x 793 = 1,586

400

Mr. Alvarez sells marbles in bags of 40 and in bags of 80. If he sells 5 bags of 80 and 6 bags of 40, how many marbles did Mr. Alvarez sell?

Mr. Alvarez sold 640 marbles in total.

400

What are the partial products when finding 4,162×2?

Partial Products: 8,000; 200; 120; 4

400

What is the Associative Property?


Definition: The associative property is a rule that states that when you add or multiply numbers, the way you group them does not change the sum or product.

500

Choose all the expressions that have a product of 630

A. (6 × 100) + (3 × 10)

B. 6 × 105

C. (60 × 3) × 1 

D. 90 × 7 

E. (6 × 100) × (3 × 10)  



A. (6 × 100) + (3 × 10)

B. 6 × 105

D. 90 × 7 

500

Use the area model to solve this problem:


8 x 3,416 = ___________

8 x 3,416 = 27,328

500

A school library has 1,245 books on each shelf. If there are 7 shelves, how many books are there in total? After that, if the library adds 500 more books, how many books will there be in the library altogether?


There will be 9,215 books in the library altogether.

500

What are the partial products when finding 5,319×8?

Partial Products: 40,000; 2,400; 80; 72

500

What is Distributive Property? Give an example on your white board.


Definition: The distributive property is a rule that says you can multiply a number by a group of numbers added together by multiplying each addend separately and then adding the products.

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