Partial Products Multiplication Quiz for Grade 4 Students

📚 Quick Study Guide

• ➕ Partial products multiplication breaks down larger multiplication problems into smaller, easier-to-manage parts.
• ➗ You decompose (break down) one or both factors into their expanded form (e.g., $23 = 20 + 3$).
• ✖️ Multiply each part of one factor by each part of the other factor. These are your partial products.
• 🧮 Finally, add all the partial products together to get the final answer.
• 💡 Example: To multiply $15 \times 12$, you break it down to $(10 + 5) \times (10 + 2)$. Then, multiply $10 \times 10$, $10 \times 2$, $5 \times 10$, and $5 \times 2$. Add those results!

📝 Practice Quiz

1. What are the partial products of $24 \times 13$ when using the partial products method?
   1. 20, 4, 10, 3
   2. 200, 60, 40, 12
   3. 24, 13, 240, 130
   4. 2, 4, 1, 3
2. What is the first step in solving $35 \times 11$ using partial products?
   1. Multiply $3 \times 1$
   2. Multiply $30 \times 10$
   3. Multiply $5 \times 10$
   4. Add $35 + 11$
3. Calculate $16 \times 14$ using partial products. What is the final answer?
   1. 204
   2. 224
   3. 112
   4. 30
4. What are the partial products when calculating $27 \times 15$?
   1. 200, 70, 50, 35
   2. 20, 7, 5, 5
   3. 2, 7, 1, 5
   4. 20, 7, 50, 35
5. If the partial products of a multiplication problem are 100, 20, 30, and 6, what is the original multiplication problem?
   1. $12 \times 3$
   2. $13 \times 2$
   3. $13 \times 12$
   4. $10 \times 6$
6. What is the sum of the partial products of $42 \times 12$?
   1. 484
   2. 504
   3. 420
   4. 84
7. What is $25 \times 16$ solved using partial products?
   1. 300
   2. 350
   3. 400
   4. 450