Multi-Digit Multiplication — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. The product of 236 and 47 is 11092.
Grade 5: 236 times 47 equals 11,092 using the standard algorithm with two partial products.
2. When 154 is multiplied by 23, the product equals 3542.
Grade 5 partial products: 154 times 3 is 462, 154 times 20 is 3,080, total 3,542.
3. The result of 312 times 56 is 17472.
Grade 5: 312 times 56 equals 17,472, computed as 1,872 plus 15,600.
4. Using an area model, 425 times 32 has a product of 13600.
Grade 5 area model: the rectangle pieces sum to 12,000+600+150+800+40+10 equals 13,600.
5. The product 168 times 45 equals 7560.
Grade 5 partial products: 168 times 5 is 840 and 168 times 40 is 6,720, totaling 7,560.
6. When you multiply 273 by 18, the product is 4914.
Grade 5: 273 times 18 equals 4,914 by adding partial products 2,184 and 2,730.
7. The product of 519 and 24 is 12456.
Grade 5: 519 times 24 equals 12,456 because 2,076 plus 10,380 equals 12,456.
8. Multiplying 367 by 29 gives a product of 10643.
Grade 5: 367 times 29 equals 10,643 by adding 3,303 and 7,340 partial products.
9. The result of 482 times 35 is 16870.
Grade 5 multi-digit multiplication: 482 times 35 equals 16,870, the sum of 2,410 and 14,460.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
236 times 47 (standard algorithm)
→ 11,092 exact product
11,092 exact product
154 times 23 (partial products)
→ 3,542 exact product
3,542 exact product
312 times 56 (area model)
→ 17,472 exact product
17,472 exact product
425 times 32 (estimation rounded)
→ 13,600 exact product
13,600 exact product
Grade 5 students learn that partial products, area models, and the standard algorithm all produce the same exact product when applied correctly.