Which expression correctly shows how to find the product of $37 \times 24$ using two partial products?

$(7 \times 24) + (30 \times 24)$

$(37 \times 4) + (37 \times 2)$

$(30 \times 20) + (7 \times 4)$

A school buys 18 boxes of pencils. Each box contains 52 pencils. Which expression shows the total number of pencils calculated using two partial products?

$(18 \times 2) + (18 \times 50)$

$(10 \times 50) + (8 \times 2)$

$(1 \times 52) + (8 \times 52)$

$(8 \times 52) + (10 \times 52)$

Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication. Practice — Grade 4 math

Lesson 4: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication. — Practice Questions

1. Which expression correctly shows how to find the product of $37 \times 24$ using two partial products?
- A. $(7 \times 24) + (30 \times 24)$
- B. $(37 \times 4) + (37 \times 2)$
- C. $(30 \times 20) + (7 \times 4)$
- D. $(7 \times 20) + (3 \times 4)$
2. To calculate $53 \times 21$, you first find the partial product $3 \times 21 = 63$. What is the value of the second partial product, which involves the tens digit of 53? ___
3. To find the product of $34 \times 25$, two partial products are calculated: $4 \times 25 = 100$ and $30 \times 25 = 750$. What is the final product of $34 \times 25$? ___
4. A school buys 18 boxes of pencils. Each box contains 52 pencils. Which expression shows the total number of pencils calculated using two partial products?
- A. $(18 \times 2) + (18 \times 50)$
- B. $(10 \times 50) + (8 \times 2)$
- C. $(1 \times 52) + (8 \times 52)$
- D. $(8 \times 52) + (10 \times 52)$
5. Using the method of two partial products, calculate the value of $28 \times 45$. The final product is ___.
6. For the multiplication $34 \times 25$, two of the four partial products are $80$ and $20$. What is the first partial product, which corresponds to $4 \times 25$? ___
7. To find $53 \times 27$ using partial products, which expression shows how to calculate the partial product related to the tens digit of 53?
- A. $(50 \times 20) + (50 \times 7)$
- B. $(3 \times 20) + (3 \times 7)$
- C. $(50 \times 3) + (20 \times 7)$
- D. $(53 \times 20) + (53 \times 7)$
8. The four partial products for $47 \times 19$ are $63, 70, 360,$ and $400$. What is the value of the second partial product, which corresponds to $40 \times 19$? ___
9. To calculate $38 \times 24$, you find two partial products. If the first partial product, $8 \times 24$, is $192$, what is the value of the second partial product, $30 \times 24$? ___