This Grade 5 worksheet has students solve the same multiplication problem using the standard algorithm, partial products, and the area model. Fills and matching show that all three methods give the same product because they apply the distributive property to the same place-value pieces. Grade 5 learners gain flexibility by choosing the method that best reveals magnitude and supports accuracy on multi-digit work.
Style:
Multi-Digit Multiplication
Part A: Fill in the Blank
Write the missing word or number on each line.
1. For Grade 5 problem 36 times 24, the standard algorithm gives a final product of 864.
2. Using partial products for 36 times 24 in Grade 5, the four pieces are 600, 120, 120, and 24.
3. An area model for 36 times 24 has 4 rectangles; their areas total 864.
4. In Grade 5 work, the area model and partial products show the same four partial products.
5. For 47 times 13 using partial products, 40 times 10 equals 400.
6. The standard algorithm regroups; the area model avoids regrouping by showing each rectangle separately.
7. All three methods for the same Grade 5 problem must produce the same product.
8. For 25 times 16, partial products 200, 50, 120, and 30 sum to 400.
9. When choosing a method, Grade 5 students may pick the area model to clearly see place value.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
36 times 24 standard algorithm answer
→ 864
864
30 times 20 partial product
→ 600
600
Area model rectangle for 6 times 4
→ 24
24
Sum of all four partial products
→ Equal to standard answer
Equal to standard answer
Multi-Digit Multiplication
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) For Grade 5 problem 36 times 24, the standard algorithm gives a final product of 864.
2) Using partial products for 36 times 24 in Grade 5, the four pieces are 600, 120, 120, and 24.
3) An area model for 36 times 24 has 4 rectangles; their areas total 864.
4) In Grade 5 work, the area model and partial products show the same four partial products.
5) For 47 times 13 using partial products, 40 times 10 equals 400.
6) The standard algorithm regroups; the area model avoids regrouping by showing each rectangle separately.
7) All three methods for the same Grade 5 problem must produce the same product.
8) For 25 times 16, partial products 200, 50, 120, and 30 sum to 400.
9) When choosing a method, Grade 5 students may pick the area model to clearly see place value.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
36 times 24 standard algorithm answer
→ 864
864
30 times 20 partial product
→ 600
600
Area model rectangle for 6 times 4
→ 24
24
Sum of all four partial products
→ Equal to standard answer
Equal to standard answer
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10 Questions
10-15 minutes
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