Word Problems
Partial Product
Vocabulary
Multiply
Other
100

A coffee shop sold 745 cups of Coffee in one week. If the same number of cups of Coffee were sold for in a row, how many cups be sold in all?

5,215 cups of coffee would be sold in 7 weeks in a row.

100

What is the product of 4x1,239. Please show your work, use any strategy you choose.

The product is 4,956



100

What is an Array? You may explain it by providing an example.

An array is a way to display objects in rows and columns.

100

What is the product of 242 x 7 

1,694

100

Find the product of 2 x 4,538. Use a bar diagram to solve 

9,076.

200

 Leanne rode the train 168 miles round trip 6 times last month. What  is the total distance Leanne rode the  train? Solve using any strategy you choose.

Leanne rode the train for 1,008 miles in total.

200

What is the product of 9 x 539? Show your thinking!

The product is 4,851.

200

Wha is partial product? You may explain it by providing an example.

Partial products are found by breaking one factor in a multiplication problem into ones, tens, hundreds, and so on. You then add all of the numbers at the end.

200

Find the product to 4 x 325. Show your thinking!

1,300

200

Write and solve an equation that represents the given bar diagram

Equation is 4 x 48=b 

B ⇒ 192 

300

Linda bakes 325 chocolate chip cookies and 45 sprinkle cupcakes every hour. How many baked goods are baked in 4 hours?

In 4 hours Linda bakes 1,480 baked goods.

300

Select all the partial products for 8 x 321

80

160 

1,600

2,400


 

The partial products that apply are

2,400 ⇒ 8 x 300 = 2,400

160 ⇒ 8 x 20 = 160

8⇒ 8 x 1 = 8

300

What is the distributive property? You may explain it by providing an Example.

 an example of the distributive property is 

6+(10x8) = (6x10) + (6x8)

in other words it is like decomposing (breaking apart) a number.

300

What is the product of 7 x 3,570

24,990

300

Select all of the expressions that could be used to find 

1,235 x 9 

9 x (1,000 + 200 + 20 + 5) 

9 x (1,000 + 200 + 30 + 5)

(9 x 1,000 ) +( 9 x 200)+ (9 x 30)+(9 x 5)  

1,235+9

9 x 1,235

The following expressions can be used to find the answer.

Number 2

Number 3

Number 4

400

Mr. Lee wants to buy his 3 daughters and 2 sons a computer. The computer costs $120  

Part A. Mr.lee thinks that the total should be ABOUT $500. Is this amount reasonable? Explain

Part B. Now write and solve an equation to find the total cost of the computers. Explain why your answer is reasonable.

Part A: first I need to add his daughters and sons together. 3+2=5, he has 5 kids in total. Next, I need to find about how much the computers will cost. I think I can multiply 5x120, which equals $510. I think  his answer is reasonable because 510 rounded to the nearest hundred is $500. I know I need to round because I saw the word "about."


Part B: to find the total I know can multiply 5x 120, which I know equals $510, because I solved it.



400

What are the partial products when finding 1,874 x 3 select all that apply.

5,400 

2,000

3,000 

210

2,400

12

 


The following options are the products you get

Number 3 

Number 4 

Number 5

Number 6


 

400

What is the associative property of multiplicatioN? You may use an example to explain.

The associative property of multiplication states that order does not matter when are you multiplying because the product stays the same.

(4x3) x 2 = 24

4 x (3x2) = 24

(4x3) x 2 = 4 x (3x2)

400

1. Write an equation for 3  x 312.

2. Then draw a bar diagram

3. Then Solve the equation

Equation ⇒ 3 x 312 = S

S=936

400

Which of the following is equivalent to 8 x 493?

(8x400)+(8x90)+ (8x3) 

 (8x400)+93

493x8 

(8x500) - (8x93)

(8x500) - (8x7)



The following are correct

Number 1

Number 3


500

W rite your own multiplicatio word problem and then solve it. Think of all the components  of a word problem.

answers may vary.

500

Use partial product to solve 3 x 12,536

The product is 37,608.

500

1. What is commutative property of multiplication?

2. What is a numerical expression?

3. what is an area model? 

* you may use examples       

1. The order of factors can be changed and the product stays the same. 

4 x 3 x 2=24 or 3 x 2 x 4=24; order, but same product.

2. A numerical expression contains numbers and at least one operation.example is 6x4.

3. An area model is rectangle used to model multiplication of whole numbers.


500

1. Find the product of 3 x 536. 

2. Now, multiply the answer to the above equation by 7.
3. then multiply that answer by 9.

1. 1,608

2. 11,256.

3. 101,304


500

Select all of the equations that have a product of 640.

(6x100) + (4x10) 

9 x 54 

60 x 4 x 1

160 x 4 

(6 x 100)+ (4 x 10)



.

The following equations have a product of 640.

Number 1

Number 4

Number 5

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