Lesson 4: Use Area Models and Partial Products to Multiply — Practice Questions

1. 1. Which set of numbers are the correct partial products needed to calculate $6 \times 453$?

   • A. 18, 30, 240
   • B. 18, 300, 2400
   • C. 18, 300, 240
   • D. 9, 11, 10

2. 2. A baker makes 8 batches of 72 cookies. Use the partial products method to find the total number of cookies made. The total is ___ cookies.

3. 3. To calculate $4 \times 529$, the partial products are found by multiplying 4 by each place value. If two of the partial products are 36 and 80, the third partial product is ___.

4. 4. A student calculates $9 \times 381$ and writes the partial products as 9, 72, and 2700. Which part of the calculation is incorrect?

   • A. The product for the ones place ($9 \times 1$) is incorrect.
   • B. The product for the tens place ($9 \times 80$) is incorrect.
   • C. The product for the hundreds place ($9 \times 300$) is incorrect.
   • D. All partial products are correct.

5. 5. To find the product of $3 \times 275$, you first calculate the partial products. What is the sum of these partial products? The sum is ___.

6. 6. Which expression correctly shows how to find $4 \times 567$ using the distributive property and partial products?

   • A. $(4 \times 500) + (4 \times 60) + (4 \times 7)$
   • B. $(4 \times 5) + (4 \times 6) + (4 \times 7)$
   • C. $(4 + 500) \times (4 + 60) \times (4 + 7)$
   • D. $4 \times 500 \times 60 \times 7$

7. 7. A store has 7 large boxes, and each box contains 96 markers. How many total markers does the store have? The total is ___ markers.

8. 8. Calculate the product of $5 \times 804$ using the partial products method. The result is ___.

9. 9. What are the two partial products needed to calculate $8 \times 59$?

   • A. 72 and 40
   • B. 17 and 400
   • C. 72 and 400
   • D. 59 and 8

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