# Multiplying and Dividing Whole Numbers By 10, 100, and 1000
Section A: Multiple Choice Questions
Q1: What is the product of 47 × 10? (a) 470 (b) 4,700 (c) 47 (d) 4.7
Solution:
Ans: (a) Explanation: When multiplying a whole number by 10, we add one zero to the end of the number. So, \(47 \times 10 = 470\).
Q2: What is 3,600 ÷ 100? (a) 360 (b) 36 (c) 3.6 (d) 36,000
Solution:
Ans: (b) Explanation: When dividing a whole number by 100, we remove two zeros from the end of the number. So, \(3,600 \div 100 = 36\).
Q3: Which number makes this equation true? 82 × _____ = 82,000 (a) 10 (b) 100 (c) 1,000 (d) 10,000
Solution:
Ans: (c) Explanation: To get from 82 to 82,000, we need to add three zeros. This happens when we multiply by 1,000. So, \(82 \times 1,000 = 82,000\).
Q4: What is the quotient of 5,000 ÷ 10? (a) 50 (b) 500 (c) 5,000 (d) 50,000
Solution:
Ans: (b) Explanation: When dividing a whole number by 10, we remove one zero from the end. So, \(5,000 \div 10 = 500\).
Q5: If you multiply 125 by 100, what is the product? (a) 1,250 (b) 12,500 (c) 125,000 (d) 1,255
Solution:
Ans: (b) Explanation: When multiplying a whole number by 100, we add two zeros to the end of the number. So, \(125 \times 100 = 12,500\).
Q6: What is 74,000 ÷ 1,000? (a) 740 (b) 7,400 (c) 74 (d) 7.4
Solution:
Ans: (c) Explanation: When dividing a whole number by 1,000, we remove three zeros from the end of the number. So, \(74,000 \div 1,000 = 74\).
Q7: Which operation is shown by this pattern? 9 → 90 → 900 → 9,000 (a) Dividing by 10 each time (b) Multiplying by 10 each time (c) Adding 10 each time (d) Subtracting 10 each time
Solution:
Ans: (b) Explanation: Each number in the pattern is 10 times larger than the previous number. This shows multiplying by 10 each time: \(9 \times 10 = 90\), \(90 \times 10 = 900\), and \(900 \times 10 = 9,000\).
Q8: What is the missing number? 45,000 ÷ _____ = 450 (a) 10 (b) 100 (c) 1,000 (d) 45
Solution:
Ans: (b) Explanation: To find the missing number, we count how many zeros were removed. From 45,000 to 450, two zeros were removed, which means we divided by 100. So, \(45,000 \div 100 = 450\).
Section B: Fill in the Blanks
Q9: When you multiply a whole number by 10, you add __________ zero(s) to the end of the number.
Solution:
Ans: one Explanation: Multiplying by 10 shifts each digit one place to the left, which is the same as adding one zero to the end of the number.
Q10: The product of 63 × 1,000 equals __________.
Solution:
Ans: 63,000 Explanation: When multiplying by 1,000, we add three zeros to the end of the number. So, \(63 \times 1,000 = 63,000\).
Q11: When dividing a whole number by 100, you remove __________ zeros from the end of the number.
Solution:
Ans: two Explanation: Dividing by 100 shifts each digit two places to the right, which is the same as removing two zeros from the end of the number.
Q12: The quotient of 8,000 ÷ 10 is __________.
Solution:
Ans: 800 Explanation: When dividing by 10, we remove one zero from the end of the number. So, \(8,000 \div 10 = 800\).
Q13: If 250 × 100 = 25,000, then 25,000 ÷ 100 = __________.
Solution:
Ans: 250 Explanation:Division is the inverse operation of multiplication. Since \(250 \times 100 = 25,000\), then \(25,000 \div 100 = 250\).
Q14: When you multiply 410 by 10, the digit 4 moves from the hundreds place to the __________ place.
Solution:
Ans: thousands Explanation: Multiplying by 10 shifts each digit one place to the left. The 4 in the hundreds place moves to the thousands place, making 4,100.
Section C: Word Problems
Q15: A toy factory produces 235 toy cars each day. How many toy cars will the factory produce in 10 days?
Solution:
Ans: \(235 \times 10 = 2,350\) Final Answer: 2,350 toy cars
Q16: A farmer collected 12,000 apples from his orchard. He wants to pack them equally into 100 boxes. How many apples will be in each box?
Solution:
Ans: \(12,000 \div 100 = 120\) Final Answer: 120 apples
Q17: A school library has 58 shelves, and each shelf can hold 100 books. What is the total number of books the library can hold?
Solution:
Ans: \(58 \times 100 = 5,800\) Final Answer: 5,800 books
Q18: A bakery made 45,000 cookies for a festival. The cookies were divided equally among 1,000 guests. How many cookies did each guest receive?
Solution:
Ans: \(45,000 \div 1,000 = 45\) Final Answer: 45 cookies
Q19: Marcus is saving money to buy a bicycle. He saves $15 each week. If he continues saving at this rate, how much money will he have saved after 100 weeks?
Solution:
Ans: \(15 \times 100 = 1,500\) Final Answer: $1,500
Q20: A water tank contains 36,000 liters of water. If the water is distributed equally to fill 10 smaller tanks, how many liters will each smaller tank hold?
Solution:
Ans: \(36,000 \div 10 = 3,600\) Final Answer: 3,600 liters
The document Worksheet (with Solutions): Multiplying and Dividing Whole Numbers By 10, 100, and 1000 is a part of the Grade 5 Course Math Grade 5.
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