Multi-Digit Multiplication — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A school orders 156 boxes of pencils with 24 pencils in each box. How many pencils total?
A) 3,744 pencils
B) 3,644 pencils
C) 4,344 pencils
D) 2,844 pencils
Grade 5 word problem: 156 times 24 equals 3,744; partial products 624 and 3,120 sum to 3,744 pencils.
2. Which estimate best checks the product 156 times 24?
A) 200 times 25 equals 5,000
B) 100 times 20 equals 2,000
C) 150 times 20 equals 3,000
D) 300 times 30 equals 9,000
Grade 5 estimation: rounding 156 to 200 and 24 to 25 gives 5,000, which is reasonably close to the actual product 3,744.
3. What is the product of 1,245 and 32?
A) 39,840
B) 37,840
C) 39,440
D) 38,440
Grade 5 multi-digit multiplication: 1,245 times 32 equals 39,840 by adding 2,490 and 37,350.
4. A theater has 48 rows with 125 seats per row. How many seats in all?
A) 6,000 seats
B) 5,800 seats
C) 6,250 seats
D) 5,000 seats
Grade 5 word problem: 125 times 48 equals 6,000 because 1,000 plus 5,000 equals 6,000 total seats.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A factory produces 245 toys per day for 36 days. The total number of toys is 8820.
Grade 5 word problem: 245 times 36 equals 8,820, the sum of partial products 1,470 and 7,350.
2. An estimate for 487 times 52 by rounding to 500 times 50 gives 25000.
Grade 5 estimation: 500 times 50 equals 25,000, a useful check for the actual product 25,324.
3. The product 2,134 times 27 equals 57618.
Grade 5: 2,134 times 27 equals 57,618 by adding partial products 14,938 and 42,680.
4. If a library has 38 shelves with 156 books each, the total is 5928.
Grade 5 word problem: 156 times 38 equals 5,928, the sum of 1,248 and 4,680 partial products.
5. The product of 1,876 and 45 is 84420.
Grade 5 multi-digit multiplication: 1,876 times 45 equals 84,420 by adding 9,380 and 75,040.