Mental Math
Area Models + Partial Products
Equivalent Expressions
Word Problems & Models
Extra
100

What is the product of 7 × 60?

420

100

Break apart 143 into place values/ expanded form.

100 + 40 +3

100

Which expression is equal to 4 × 125?

A. (4 × 100) + (4 × 20) + (4 × 5)

B. 4 + 125

C. (4 × 100) + 25

D. 4 × 100 + 20 + 5

A

100

A bakery sells 28 boxes of cupcakes. Each box has 6 cupcakes. How many cupcakes were sold?


28 x 6 = 168 cupcakes

100

Estimate the product of 4 × 387 by rounding 387 to the nearest hundred.

4 x 400 = 1,600

200

What is the product of 9 x 90

810

200

Solve 143 × 3 using partial products or the area model.


100 x 3 = 300 

40 x3 =120

3 x3= 9

300+120+9= 

429

200

Which expression is equivalent to (500 × 3) + (42 × 3)?

A. 500 × 42

B. 542 × 3

C. 500 × 6

D. 542 + 3

B

200

A library has 4 shelves with 123 books on each shelf. How many books are there altogether?


4 x 123= 492 books

200

A parent wants to buy 3 computers costing $398 each. They estimate the total will be about $1,200. Is this reasonable? Explain.

Yes. Round $398 to $400. Then 3 × $400 = $1,200. The exact total is $1,194

300

What is the product of 500 x 9?

4,000

300

Select all the partial products for 2,142 × 3.

A. 6,000

B. 300

C. 400

D. 120

E. 6

A, C, D, E (6,000; 400; 120; 6).

300

Select all expressions that have a product of 840.

A. 105 × 8

B. (800 + 40) × 1

C. 7 × 120

D. (8 × 100) + (4 × 10)

E. 84 × 100

A, B, C, D

300

A deli sells 245 turkey sandwiches in one month. If it sells the same number for 4 months, how many turkey sandwiches will it sell?

245 x 4 = 680 sandwiches

300

Which expression has the same value as 5 × 163?

A. (5 × 100) + (5 × 60) + (5 × 3)

B. (5 × 1) + (5 × 6) + (5 × 3)

C. (5 × 100) + (5 × 6) + (5 × 3)

D. 5 + 163

A

400

Use compensation to solve 21 x 4 (use a friendly number)

20 x 4= 80

80+4= 84

400

Draw an area model or use partial products to solve 326 × 4.


1,304

400

Which expressions are equivalent to 936? Select all that apply.

A. 117 × 8

B. 8 × 117

C. (100 × 8) + (10 × 8) + (7 × 8)

D. 9 × 136

E. (8 × 100) + (8 × 17)


A, B, C, E

400

A pizza shop makes 235 pizzas and 68 subs every day. How many total items does the shop make in 4 days?

(235 + 68) × 4 = 303 × 4 = 1,212 items

400

A school orders 7 boxes of pencils. Each box contains 389 pencils. Estimate how many pencils the school ordered by rounding to the nearest hundred.

7 X 400 = 2,800 pencils

500

Use compensation to solve 6 × 19. (Find a friendly number)

6 x 20 = 120

120 − 6 = 114


500

Solve using area model or partial products 

3,215 × 4

12,000+ 800+ 40+ 20= 12,860.

500

A student says that 6 × 248 is the same as (6 × 200) + (6 × 40) + (6 × 8). Is the student correct? Explain and find the product.

Yes. The student used the distributive property to break apart 248. The product is 1,488.

500

A school buys 3 laptops costing $1,248 each and 3 tablets costing $396 each. What is the total cost? Show an equation

(3 × 1,248) + (3 × 396) = 3,744 + 1,188 = $4,932.

500

A deli sells 186 roast beef sandwiches in one month. It sells 3 times as many tuna sandwiches as roast beef sandwiches each month. How many more tuna sandwiches than roast beef sandwiches are sold over 4 months?

186 × 3 = 558 tuna sandwiches per month. 

The difference each month is 558 − 186 = 372. 

Over 4 months: 372 × 4 = 1,488 more tuna sandwiches.