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Word Problems (multi-digit)
Strategy & Estimation
100

Multiply using standard algorithm: 24 × 312=

7,488

100

Compute: 7 × 324

2,268

100

Compute: 23 × 15

23 × 15 = 345

100

here are 24 rows of chairs with 15 chairs each. How many chairs?

24 × 15 = 360

100

Estimate: 47 × 89 by rounding to nearest ten; then compute exact product.

Estimate 47 × 89 ≈ 50 × 90 = 4,500; exact 4,183

200

Use an area model or partial products: 47 × 203=

9,541

200

Compute: 9 × 587

5,283

200

Compute: 48 × 26

1,248

200

A baker bakes 312 cookies per day for 28 days. How many cookies total?

8,736

200

Use distributive property: 56 × 34 as (50+6) × 34; show result.

  • (50+6)×34 = 50×34 + 6×34 = 1,700 + 204 = 1,904
300

Find the product: 86 × 127

10,922

300

Word problem: If one toolbox holds 8 wrenches and a store receives 439 toolboxes, how many wrenches arrived?

3,512

300

Use partial products: 67 × 34

2,278

300

A shipment contains 128 boxes; each box has 47 cans. How many cans in the shipment?

6,016

300

Compare: Without calculating fully, which is larger: 49 × 301 or 50 × 299? Explain.

Compare: 49×301 = 14,749; 50×299 = 14,950 → 50×299 larger

400

Solve and show reasoning: 59 × 345

20,355

400

Multi-step: A class of 6 groups each has 328 stickers. How many stickers total? (Use multiplication.)

1,968

400

A store sells 85 packs; each pack has 47 pencils. How many pencils total?

3,995

400

School fundraiser: 63 students sold 238 tickets each. How many tickets sold total?

14,994

400

Explain why multiplying by 100, 10, or powers of 10 affects place value; then compute 67 × 100.

Compare: 49×301 = 14,749; 50×299 = 14,950 → 50×299 larger

67 × 100 = 6,700

500

Real-world: A factory packs 128 boxes each day for 46 days. How many boxes total?

5,888

500

Large product: 12 groups of 9 buses, each bus seats 387 students. First compute 9 × 387, then multiply by 12. (Break into steps)

  • (9 × 387) = 3,483; then ×12 = 41,796
500

Multiply and explain: 99 × 76

7,524

500

A farmer plants 426 seeds in each of 58 fields. How many seeds did the farmer plant? Show steps or area model.

24,708

500

Reasonableness check: A student gets 7 × 289 = 2023. Is this reasonable? If not, correct it and explain the error.

7 × 289 actual = 2,023 is incorrect; correct 7 × 289 = 2,023? (Check) Actually 7×289 = 2,023 — this is correct; explanation: 7×300 − 7×11 = 2,100 − 77 = 2,023.