Grade 5 Multiplication: Partial Products Worksheet
Practice multiplication using the partial products method for grade 5 students.
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Multiplication: Partial Products Method
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Use the partial products method to solve each multiplication problem. Show all your work.
1. Solve 23 × 14 using partial products.
Step 1: Multiply the tens digits: 20 × 10 =
Step 2: Multiply the outer digits: 20 × 4 =
Step 3: Multiply the inner digits: 3 × 10 =
Step 4: Multiply the ones digits: 3 × 4 =
Step 5: Add the partial products: + + + =
2. Solve 35 × 21 using partial products.
30 × 20 =
30 × 1 =
5 × 20 =
5 × 1 =
Total Sum:
3. A farmer planted 42 rows of corn with 25 stalks in each row. How many corn stalks did the farmer plant in total? Use the partial products method to solve.
4. A school auditorium has 18 rows of seats, and each row has 32 seats. What is the total seating capacity of the auditorium? Show your work using partial products.
5. Which of the following shows the correct partial products for 56 × 13?
50 × 10 = 500, 6 × 3 = 18
50 × 10 = 500, 50 × 3 = 150, 6 × 10 = 60, 6 × 3 = 18
5 × 1 = 5, 6 × 3 = 18
56 × 10 = 560, 56 × 3 = 168
6. What is the sum of the partial products for 74 × 28?
1400 + 560 + 80 + 32 = 2072
70 × 20 + 4 × 8 = 1400 + 32 = 1432
70 + 4 + 20 + 8 = 102
74 × 20 + 74 × 8 = 1480 + 592 = 2072
7. The partial products method involves multiplying digits by their place value.
True
False
8. When using partial products, you always start by multiplying the ones digits together.
True
False