Lesson 3: Use Arrays and Partial Products to Multiply — Practice Questions

1. 1. A baker makes 7 batches of cookies, with 53 cookies in each batch. Use partial products to find the total number of cookies. The total is ___.

2. 2. Which pair of numbers represents the correct partial products for calculating $8 \times 64$?

   • A. 32 and 48
   • B. 32 and 480
   • C. 320 and 48
   • D. 320 and 480

3. 3. A school auditorium has 4 sections. If each section has 218 seats, what is the total number of seats? The total is ___.

4. 4. What are the three partial products when calculating $5 \times 342$?

   • A. 10, 20, and 15
   • B. 10, 200, and 150
   • C. 10, 200, and 1500
   • D. 100, 200, and 1500

5. 5. To calculate $6 \times 85$, you find the partial products. One partial product is $6 \times 5 = 30$. The other partial product is $6 \times 80 = \_\_\_.

6. 6. Which expression correctly uses the distributive property to find the partial products for $9 \times 123$?

   • A. (9 × 1) + (9 × 2) + (9 × 3)
   • B. (9 × 100) + (9 × 20) + (9 × 3)
   • C. (9 + 100) × (9 + 20) × (9 + 3)
   • D. (9 × 100) × (9 × 20) × (9 × 3)

7. 7. A farmer plants 8 rows of carrots. Each row has 36 carrots. What is the total number of carrots planted? The total is ___.

8. 8. Use the partial products method to calculate $5 \times 407$. What is the final product? The product is ___.

9. 9. When calculating $4 \times 258$, what is the partial product that comes from multiplying the digit in the tens place? The partial product is ___.

10. 10. To solve $7 \times 48$ using place value, an array is split into two smaller rectangles. What are the areas of these two smaller rectangles, also known as the partial products?

    • A. 28 and 56
    • B. 280 and 56
    • C. 280 and 5
    • D. 70 and 48