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Lesson 5: Connect the area model and the partial products method to the standard algorithm. — Practice Questions

  1. 1. To find the product of $7 \times 63$ using an area model, you add the partial products. What is the total product? ___

  2. 2. To calculate $4 \times 529$ using an area model, you find three partial products. What is the partial product for the hundreds place? ___

  3. 3. The partial products for a multiplication problem are 350 and 28. What is the total product? ___

  4. 4. A theater has 9 rows of seats. If each row has 48 seats, what is the total number of seats in the theater? ___

  5. 5. Use the area model method to find the product of $3 \times 472$. The total product is ___.

  6. 6. When calculating $146 \times 5$ using the standard algorithm, the first regrouped number is a $3$. What value does this $3$ represent?

    • A. $3$ ones
    • B. $3$ tens
    • C. $3$ hundreds
    • D. $3$ thousands
  7. 7. A multiplication problem is broken down into partial products: $3 \times 7 = 21$, $3 \times 10 = 30$, and $3 \times 400 = 1200$. What is the final product? ___

  8. 8. In the problem $253 \times 4$, you multiply $4 \times 5$ and then add a regrouped $1$. This regrouped $1$ comes from which partial product?

    • A. $4 \times 3$
    • B. $4 \times 5$
    • C. $4 \times 20$
    • D. $4 \times 50$
  9. 9. In the multiplication $562 \times 7$, what is the partial product that comes from multiplying the digit in the tens place? ___

  10. 10. Which statement is true about the standard multiplication algorithm?

    • A. It is a faster way to add partial products.
    • B. It is unrelated to partial products.