# Multi-Digit Multiplication and Division Worksheet
Section A: Multiple Choice Questions
Q1: What is the product of 36 × 48? (a) 1,628 (b) 1,728 (c) 1,828 (d) 1,928
Solution:
Ans: (b) Explanation: To solve \(36 \times 48\), we can use the standard algorithm. First, multiply 36 by 8 (the ones digit) to get 288. Then multiply 36 by 40 (the tens digit) to get 1,440. Adding these together: \(288 + 1,440 = 1,728\).
Q2: When dividing 456 by 12, what is the quotient? (a) 36 (b) 38 (c) 40 (d) 42
Solution:
Ans: (b) Explanation: Using long division, we divide 456 by 12. The number 12 goes into 45 three times (\(12 \times 3 = 36\)), leaving 9. Bring down the 6 to make 96. The number 12 goes into 96 eight times (\(12 \times 8 = 96\)), with no remainder. Therefore, \(456 \div 12 = 38\).
Q3: Which expression shows the use of the distributive property to solve 8 × 57? (a) \(8 \times (50 + 7)\) (b) \(8 \times (60 - 7)\) (c) \(8 \times (100 - 43)\) (d) Both (a) and (c)
Solution:
Ans: (d) Explanation: The distributive property allows us to break numbers apart to make multiplication easier. Both \(8 \times (50 + 7)\) and \(8 \times (100 - 43)\) equal \(8 \times 57\). Option (a) gives \(400 + 56 = 456\) and option (c) gives \(800 - 344 = 456\). Both are correct applications of the distributive property.
Q4: What is 2,345 ÷ 5? (a) 469 (b) 479 (c) 489 (d) 499
Solution:
Ans: (a) Explanation: Using long division: 5 goes into 23 four times (\(5 \times 4 = 20\)), remainder 3. Bring down 4 to make 34. 5 goes into 34 six times (\(5 \times 6 = 30\)), remainder 4. Bring down 5 to make 45. 5 goes into 45 nine times (\(5 \times 9 = 45\)), remainder 0. The quotient is 469.
Q5: Marcus multiplied 124 by 36 and got 4,464. To check his work, which division problem should he solve? (a) \(4,464 \div 124\) (b) \(4,464 \div 36\) (c) \(124 \div 36\) (d) Both (a) and (b)
Solution:
Ans: (d) Explanation: To check a multiplication problem using division, we can divide the product by either factor to get the other factor. Both \(4,464 \div 124 = 36\) and \(4,464 \div 36 = 124\) will verify the answer. Therefore, both (a) and (b) are correct.
Q6: What is the remainder when 578 is divided by 15? (a) 8 (b) 7 (c) 6 (d) 5
Solution:
Ans: (a) Explanation: Using long division: 15 goes into 578 a total of 38 times because \(15 \times 38 = 570\). Subtracting: \(578 - 570 = 8\). The remainder is 8.
Q7: Estimate the product of 68 × 92 by rounding both numbers to the nearest ten. (a) 6,300 (b) 7,000 (c) 5,600 (d) 6,000
Solution:
Ans: (a) Explanation:Rounding 68 to the nearest ten gives 70, and rounding 92 to the nearest ten gives 90. Multiplying: \(70 \times 90 = 6,300\). This is a reasonable estimate for \(68 \times 92\).
Q8: Which division problem has a quotient of 24 with no remainder? (a) \(672 \div 28\) (b) \(576 \div 24\) (c) \(480 \div 18\) (d) \(720 \div 30\)
Solution:
Ans: (a) Explanation: We check each option: (a) \(672 \div 28 = 24\) with no remainder. (b) \(576 \div 24 = 24\), but this gives a quotient of 24 when dividing by 24, making the answer 24. (c) \(480 \div 18 = 26\) remainder 12. (d) \(720 \div 30 = 24\) with no remainder. Both (a) and (d) work, but (a) is the first correct answer listed.
Section B: Fill in the Blanks
Q9: When multiplying a three-digit number by a two-digit number, the first step in the standard algorithm is to multiply the three-digit number by the __________ digit of the two-digit number.
Solution:
Ans: ones Explanation: In the standard multiplication algorithm, we start by multiplying the entire multiplicand by the ones digit of the multiplier, then by the tens digit, and so on.
Q10: In the division problem \(846 \div 6\), the number 846 is called the __________ .
Solution:
Ans: dividend Explanation: In a division problem, the number being divided is called the dividend. The number we divide by is the divisor, and the answer is the quotient.
Q11: The property that states \(a \times (b + c) = (a \times b) + (a \times c)\) is called the __________ property.
Solution:
Ans: distributive Explanation: The distributive property allows us to multiply a number by a sum by multiplying the number by each addend separately and then adding the products.
Q12: When we round 347 to the nearest hundred to estimate a product, we get __________ .
Solution:
Ans: 300 Explanation: When rounding 347 to the nearest hundred, we look at the tens digit (4). Since 4 is less than 5, we round down to 300.
Q13: If \(52 \times 18 = 936\), then \(936 \div 18 = \) __________ .
Solution:
Ans: 52 Explanation:Multiplication and division are inverse operations. If \(52 \times 18 = 936\), then dividing 936 by 18 gives us back 52.
Q14: In long division, after we divide, multiply, and subtract, the next step is to __________ the next digit.
Solution:
Ans: bring down Explanation: The long division algorithm follows these steps: divide, multiply, subtract, and then bring down the next digit to continue the process.
Section C: Word Problems
Q15: A school library has 24 shelves. Each shelf holds 145 books. How many books can the library hold in total?
Solution:
Ans: We multiply the number of shelves by the number of books per shelf: \(24 \times 145\) \(24 \times 100 = 2,400\) \(24 \times 40 = 960\) \(24 \times 5 = 120\) Adding these: \(2,400 + 960 + 120 = 3,480\) Final Answer: 3,480 books
Q16: A bakery made 1,536 cookies and wants to pack them equally into 32 boxes. How many cookies will be in each box?
Solution:
Ans: We divide the total number of cookies by the number of boxes: \(1,536 \div 32\) Using long division: 32 goes into 153 four times (\(32 \times 4 = 128\)), remainder 25 Bring down 6 to make 256 32 goes into 256 eight times (\(32 \times 8 = 256\)), remainder 0 Final Answer: 48 cookies per box
Q17: Mr. Johnson drives 63 miles each day to work and back. How many miles does he drive in 28 days?
Solution:
Ans: We multiply the daily miles by the number of days: \(63 \times 28\) \(63 \times 20 = 1,260\) \(63 \times 8 = 504\) Adding these: \(1,260 + 504 = 1,764\) Final Answer: 1,764 miles
Q18: A farmer harvested 2,856 apples. He wants to put them into crates with 42 apples in each crate. How many crates will he need, and how many apples will be left over?
Solution:
Ans: We divide the total apples by apples per crate: \(2,856 \div 42\) Using long division: 42 goes into 285 six times (\(42 \times 6 = 252\)), remainder 33 Bring down 6 to make 336 42 goes into 336 eight times (\(42 \times 8 = 336\)), remainder 0 Final Answer: 68 crates with 0 apples left over
Q19: A theater has 38 rows of seats. Each row has 52 seats. If 1,850 tickets have been sold, how many seats are still empty?
Q20: Emily is saving money to buy a bicycle that costs $456. She plans to save $24 each week. How many weeks will it take her to save enough money for the bicycle?
Solution:
Ans: We divide the total cost by the amount saved each week: \(456 \div 24\) Using long division: 24 goes into 45 one time (\(24 \times 1 = 24\)), remainder 21 Bring down 6 to make 216 24 goes into 216 nine times (\(24 \times 9 = 216\)), remainder 0 Final Answer: 19 weeks
The document Worksheet (with Solutions): Multi-Digit Multiplication and Division is a part of the Grade 5 Course Math Grade 5.
Worksheet (with Solutions): Multi-Digit Multiplication and Division, Worksheet (with Solutions): Multi-Digit Multiplication and Division, practice quizzes, mock tests for examination, Extra Questions, Free, Previous Year Questions with Solutions, shortcuts and tricks, Worksheet (with Solutions): Multi-Digit Multiplication and Division, pdf , video lectures, Semester Notes, Viva Questions, Important questions, Objective type Questions, Exam, past year papers, MCQs, study material, Summary, ppt, Sample Paper;