Arrays Algorithm
Expanded (Partial product) Algorithm
Multiply 2 digit by 1 digit
Multiply 3-4 digit by 1 digit
Word problems
100

What does this represent? 

4 x 19

100

What is the partial product of 4 x 25

80 and 20

100

Find the product.
4 × 26

104

100

Find the product. 5 × 189 = n

n = 945

100

Each table in the cafeteria at Mario's school seats 16 children.
How many children can be seated at 4 tables if there are no empty seats?

64 children 

200


126

200

Ken hosts a radio show 6 times a week.
He hosts the show 49 weeks a year.
Which shows the most reasonable estimate of the number
of times Ken hosts the show in one year?


  • A) 5 × 40 = 200
  • B) 5 × 50 = 250
  • C) 6 × 40 = 240
  • D) 6 × 50 = 300

D

200

48 x 8 

384

200

Find the product of 6 and 708.

4,248

200

David plays a baseball game 18 times a month.
How many times does he play baseball in 3 months?

54 times

300


114

300

Tim is multiplying 36 by 7. What are the two partial products he should add to find the product?

42 and 210

300

Find the product. 8 × 32 = n 

What is n?

n = 256

300

There are 168 lessons in each of 7 workbooks in a set. How many lessons are in the set?

1,176 lessons

300

Jerri needs to buy new pastels. She picks sets with 36 different colors.
How many new pastels will she have if she buys 5 new sets?

180 pastels 

400

The array shows 5 rows of 27. The white part has an area of 5 × 20, or 100. What is the area of the gray part?

35

400

What are the partial products for 75 × 3?


15 and 210

400

A factory can make 52 toys an hour.
The factory is open for 8 hours a day.
How many toys does the factory make in 1 day?

416 toys

400

A playhouse theater sells 1170 tickets for 6 nights in a row. How many tickets do they sell in all?

7,020 tickets

400

Julia has 4 bookshelves.
Each bookshelf has 56 books.
How many books does Julia have?

224 books

500

The array shows 4 rows of 29. The white part has area 4 × 20 or 80.
What is the area of the gray part?

36

500

Which of these is another way to find 7 × 84?

  • A) Multiply 7 × 80 × 4.
  • B) Add 7 to the product of 80 and 4.
  • C) Add 80 and 4.
  • D) Add 7 × 80 and 7 × 4.

D

500

A large dump truck uses about 18 gallons of fuel for 1 hour of work. About how many gallons of fuel are needed if the truck works for 5 hours? 

About 90 gallons 

500

A manager at a fast food restaurant orders 8 packages of napkins. Each package contains 375 napkins. How many napkins did the manager order? 

3,000 napkins

500

 Mrs. Lee goes to the electronic store and sees the flat screen TV that is $1650 each. She wants to buy 2 flat screen TV's. She came with $3, 275. Does she have enough for both of them? 

(For 500 EXTRA points, tell me why or why not by telling me how much more she needs) 

No she does not have enough. She needs $3,300 so she needs $25 more

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