Lesson 3: Connect visual models and the distributive property to partial products of the standard algorithm without renaming. — Practice Questions

1. 1. To find the product of $6 \times 32$, you can decompose $32$ into $30 + 2$. Use partial products to find the final answer. The product is ___.

2. 2. Which of the following are the partial products when you multiply $5 \times 43$?

   • A. $200$ and $15$
   • B. $20$ and $15$
   • C. $40$ and $3$
   • D. $200$ and $3$

3. 3. The expression $7 \times 54$ can be written as $(7 \times 50) + (7 \times 4)$. What is the value of the partial product $7 \times 50$? ___

4. 4. When you decompose factors to multiply, what are the results of the smaller multiplications called?

   • A. Partial products
   • B. Final sums
   • C. Decomposed factors
   • D. Quotients

5. 5. Use partial products to calculate $32 \times 14$. The final product is ___.

6. 6. Which expression correctly shows the sum of the partial products for $42 \times 15$?

   • A. $(40 \times 10) + (40 \times 5) + (2 \times 10) + (2 \times 5)$
   • B. $(40 \times 10) + (2 \times 5)$
   • C. $40 + 2 + 10 + 5$
   • D. $(40 + 10) \times (2 + 5)$

7. 7. To calculate $5 \times 63$, you can decompose it into $(5 \times 60) + (5 \times 3)$. The first partial product is $300$. What is the second partial product? ___

8. 8. When calculating $35 \times 24$ using partial products, which of the following is NOT one of the partial products?

   • A. $120$
   • B. $100$
   • C. $50$
   • D. $20$

9. 9. Use the method of partial products to find the value of $7 \times 48$. What is the final product? ___

10. 10. Which expression shows the correct way to find the sum of the partial products for $52 \times 13$?

    • A. $(50 \times 10) + (2 \times 3)$
    • B. $(50 \times 10) + (50 \times 3) + (2 \times 10) + (2 \times 3)$
    • C. $(5 \times 1) + (2 \times 3)$
    • D. $(50 + 10) \times (2 + 3)$