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Lesson 2: Multiplying by One-Digit Numbers — Practice Questions

  1. 1. An area model is used to calculate $7 \times 4,815$. How is the number 4,815 decomposed to find the partial products?

    • A. $4,000 + 800 + 10 + 5$
    • B. $400 + 80 + 1 + 5$
    • C. $4,000 + 80 + 10 + 5$
    • D. $4,000 + 800 + 1 + 5$
  2. 2. To calculate $5 \times 3,281$ using an area model, you find partial products. What is the partial product corresponding to the hundreds place? ___

  3. 3. Which option shows the correct partial products for calculating $4 \times 2,739$?

    • A. 36, 120, 2,800, 8,000
    • B. 36, 12, 28, 8
    • C. 360, 120, 2,800, 8,000
    • D. 36, 120, 280, 8,000
  4. 4. A farmer's field is 8 meters wide and 1,352 meters long. Use the area model concept to find the total area of the field in square meters. ___

  5. 5. An area model is used for a multiplication problem, resulting in the partial products 42, 210, and 3,500. What was the original multiplication problem?

    • A. $7 \times 536$
    • B. $6 \times 537$
    • C. $7 \times 356$
    • D. $6 \times 735$
  6. 6. The partial products for $3 \times 6,184$ are 12, 240, 300, and ___. What is the missing partial product?

  7. 7. Use an area model to find the product of $9 \times 4,057$. What is the total product? ___

  8. 8. A rectangular mural is 6 feet tall. It is painted in sections with widths of 2,000 feet, 400 feet, and 8 feet. Which expression represents the total area of the mural?

    • A. $6 + 2,000 + 400 + 8$
    • B. $6 \times (2,000 + 400 + 8)$
    • C. $6 \times 2,000 \times 400 \times 8$
    • D. $(6 \times 2,000) + 400 + 8$
  9. 9. An area model for $8 \times 5,902$ has sections for each place value. What is the value of the partial product for the thousands place? ___

  10. 10. To calculate $8 \times 472$ using an area model, you find the partial products. What is the partial product corresponding to the tens place of $472$? ___