🧩 Decompose It!
🔢 Area Model Mania
💰 Real-World Math
🧠 Challenge Round
100

Break apart 46 × 3 to solve using place value.

(40 × 3) + (6 × 3) 

120 + 18= 138

100

How many boxes would an area model for 23 × 15 have?

4 boxes (because 20 + 3 and 10 + 5)

100

Lila makes 230 bracelets each week for 4 weeks. How many bracelets does she make?

920 bracelets

100

A soccer team sold 32 jerseys for $25 each. How much money did they earn?

$800

200

Decompose 324 × 5.

(300 × 5) + (20 × 5) + (4 × 5) 

1,500 + 100 + 20 = 1,620

200

Use an area model to solve 23 × 12.

(20 × 10)+(20 × 2)+(3 × 10)+(3 × 2) 

200 + 40 + 30 + 6 =276

200

A store sells 36 boxes of pencils. Each box has 24 pencils inside. How many pencils did they sell?

864 pencils

200

Ms. Belton buys 46 packs of pencils with 30 pencils in each pack. How many pencils total?

1,380 pencils

300

A bakery sells 2,138 cookies each day. If the bakery stays open for 4 days, how many cookies do they sell?

(2,000 × 4) + (100 × 4) + (30 × 4) + (8 × 4)

8,000 + 400 + 120 + 32 = 8,552

300

A theater has 42 rows of seats with 36 seats in each row. Use an area model to find the total number of seats.

(40 × 30)+(40 × 6)+(2 × 30)+(2 × 6) 

1,200 + 240 + 60 + 12 = 1,512 seats

300

A farmer plants 48 rows of corn. Each row has 36 plants. How many plants in total?

1,728 corn plants

300

A warehouse stores 438 boxes. Each box holds 6 toys. How many toys total?

2,628 boxes

400

Decompose 1,247 × 6 to find the product.

(1,000 × 6) + (200 × 6) + (40 × 6) + (7 × 6) 

6,000 + 1,200 + 240 + 42 = 7,482

400

Use an area model to solve 538 x 6.
Show the 3 partial products and then find the total.

(500 x 6)+(30 x 6)+(8 x 6) 

3,000 + 180 + 48 = 3,228

400

A stadium sells 1,348 tickets each day for 6 days. How many tickets in total?

8,088 tickets

400

A video store sells 1,247 movies every week for 8 weeks. How many movies total?

9,976 movies

500

Decompose and solve: 3,406 × 8.

(3,000 × 8) + (400 × 8) + (0 × 8) + (6 × 8) 

24,000 + 3,200 + 0 + 48 = 27,248

500

A student uses an area model to solve 56 × 48 and finds these partial products:
2,400  240  320  48
What should the student do next to find the final product?

Add the partial products together

 2,400 + 240 + 320 + 48 = 3,008

500

A factory makes 4,207 chocolate bars every day. How many bars will it make in 9 days?

37,863 chocolate bars

500

The zoo printed 3,642 tickets each day for 7 days. Then it printed 2,418 more for a weekend event.
How many tickets did the zoo print in all?

3,642 × 7) + 2,418 

= 27,912 + 2,418 

= 30,330 tickets

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