When finding the product of $91 \times 36$ using an area model, which expression represents the correct sum of partial products?

$(90 \times 30) + (90 \times 6) + (1 \times 30) + (1 \times 6)$

$(9 \times 3) + (9 \times 6) + (1 \times 3) + (1 \times 6)$

$(90 \times 30) + (1 \times 6)$

Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product. Practice — Grade 5 math

Lesson 4: Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product. — Practice Questions

1. When multiplying $34 \times 52$ using an area model, what is the partial product of multiplying the tens places of each number ($30 \times 50$)? ___
2. To calculate $27 \times 41$ using an area model, the partial products are $20 \times 40 = 800$, $20 \times 1 = 20$, and $7 \times 1 = 7$. Which partial product is missing?
- A. $7 \times 40$
- B. $2 \times 4$
- C. $20 \times 7$
- D. $40 \times 1$
3. Use the area model method to calculate the product of $58 \times 25$. What is the final product? ___
4. When finding the product of $91 \times 36$ using an area model, which expression represents the correct sum of partial products?
- A. $(90 \times 30) + (90 \times 6) + (1 \times 30) + (1 \times 6)$
- B. $(9 \times 3) + (9 \times 6) + (1 \times 3) + (1 \times 6)$
- C. $(90 \times 30) + (1 \times 6)$
- D. $(90 + 1) + (30 + 6)$
5. To find $49 \times 82$, you decompose the numbers and find four partial products: $40 \times 80$, $40 \times 2$, $9 \times 80$, and $9 \times 2$. What is the sum of these partial products? ___
6. After decomposing numbers and finding all partial products in an area model, what is the final step to find the total product?
- A. Add all the partial products
- B. Multiply all the partial products
- C. Find the average of the partial products
- D. Subtract the smallest partial product from the largest
7. Use the area model method to calculate the product of $36 \times 28$. The result is ___.
8. To multiply $52 \times 34$ using an area model, which set of partial products would you add together?
- A. 1500, 200, 60, 8
- B. 150, 20, 60, 8
- C. 1500, 8
- D. 50, 2, 30, 4
9. When calculating $81 \times 47$ using an area model, the partial products are $3200$, $560$, $40$, and ___.
10. To begin solving $73 \times 29$ with an area model, how are the factors correctly decomposed?
- A. $70+3$ and $20+9$
- B. $7+3$ and $2+9$
- C. $73$ and $20+9$
- D. $70 \times 3$ and $20 \times 9$