Ans: (b) Explanation: To solve \(84 \div 4\), we can break 84 into 80 + 4. First, \(80 \div 4 = 20\), then \(4 \div 4 = 1\). Adding these together: \(20 + 1 = 21\).
Q2: When dividing 126 by 6, what is the first step using place value? (a) Divide 6 by 6 (b) Divide 12 by 6 (c) Divide 100 by 6 (d) Divide 126 by 10
Solution:
Ans: (b) Explanation: Using place value, we start with the largest place we can divide. In 126, we look at the tens place. We divide 12 tens by 6, which gives us 2 tens. Then we continue with the ones place.
Q3: What is 150 ÷ 5? (a) 25 (b) 35 (c) 30 (d) 20
Solution:
Ans: (c) Explanation: We can use place value division. Break 150 into \(100 + 50\). Then \(100 \div 5 = 20\) and \(50 \div 5 = 10\). Adding these: \(20 + 10 = 30\).
Q4: A number divided by 3 gives a quotient of 24. What is the number? (a) 72 (b) 69 (c) 21 (d) 27
Solution:
Ans: (a) Explanation: To find the dividend, we multiply the quotient by the divisor: \(24 \times 3 = 72\). We can check: \(72 \div 3 = 24\).
Q6: Which division problem has a remainder? (a) 48 ÷ 6 (b) 63 ÷ 7 (c) 50 ÷ 4 (d) 81 ÷ 9
Solution:
Ans: (c) Explanation: Let's check each option: (a) \(48 \div 6 = 8\) (no remainder) (b) \(63 \div 7 = 9\) (no remainder) (c) \(50 \div 4 = 12\) R2 (has a remainder of 2) (d) \(81 \div 9 = 9\) (no remainder).
Q7: What is 420 ÷ 7? (a) 50 (b) 55 (c) 60 (d) 65
Solution:
Ans: (c) Explanation: Breaking down by place value: \(420 = 350 + 70\). \(350 \div 7 = 50\) \(70 \div 7 = 10\) Adding: \(50 + 10 = 60\).
Q8: If 96 ÷ 8 = 12, what does the 12 represent? (a) The divisor (b) The dividend (c) The quotient (d) The remainder
Solution:
Ans: (c) Explanation: In the division problem \(96 \div 8 = 12\), the number 96 is the dividend, 8 is the divisor, and 12 is the quotient (the answer).
Section B: Fill in the Blanks
Q9: When dividing 248 by 8 using place value, we can break 248 into 240 and 8. The value of 240 ÷ 8 is __________.
Solution:
Ans: 30 Explanation: Breaking numbers by place value helps in division. \(240 \div 8 = 30\) because \(8 \times 30 = 240\).
Q10: In the division problem 156 ÷ 6 = 26, the number 156 is called the __________.
Solution:
Ans: dividend Explanation: The dividend is the number being divided. In this problem, 156 is divided by 6 to get 26.
Q11: The answer to a division problem is called the __________.
Solution:
Ans: quotient Explanation: The result of dividing one number by another is called the quotient.
Q12: When we divide 85 by 5, we get __________ with no remainder.
Solution:
Ans: 17 Explanation: \(85 \div 5 = 17\). We can check: \(5 \times 17 = 85\). Since there is no amount left over, there is no remainder.
Q13: 600 ÷ 3 = __________.
Solution:
Ans: 200 Explanation: Using place value, we know that \(6 \div 3 = 2\). Since 600 has two zeros (representing hundreds), the answer is 200.
Q14: The number by which we divide is called the __________.
Solution:
Ans: divisor Explanation: The divisor is the number that divides the dividend. In \(48 \div 6\), the number 6 is the divisor.
Section C: Word Problems
Q15: A bakery has 144 cookies that need to be packed equally into 6 boxes. How many cookies will be in each box?
Solution:
Ans: We need to divide the total number of cookies by the number of boxes. \(144 \div 6\) Using place value: \(144 = 120 + 24\) \(120 \div 6 = 20\) \(24 \div 6 = 4\) \(20 + 4 = 24\) Final Answer: 24 cookies
Q16: A school ordered 195 pencils to be shared equally among 5 classrooms. How many pencils will each classroom receive?
Solution:
Ans: We divide 195 by 5. \(195 \div 5\) Breaking by place value: \(195 = 150 + 45\) \(150 \div 5 = 30\) \(45 \div 5 = 9\) \(30 + 9 = 39\) Final Answer: 39 pencils
Q17: Mrs. Johnson has 276 stickers. She wants to divide them equally among 4 students. How many stickers will each student get?
Solution:
Ans: We need to divide 276 by 4. \(276 \div 4\) Using place value: \(276 = 240 + 36\) \(240 \div 4 = 60\) \(36 \div 4 = 9\) \(60 + 9 = 69\) Final Answer: 69 stickers
Q18: A farmer packed 168 apples into baskets with 7 apples in each basket. How many baskets did he use?
Solution:
Ans: We divide the total apples by the number in each basket. \(168 \div 7\) Breaking by place value: \(168 = 140 + 28\) \(140 \div 7 = 20\) \(28 \div 7 = 4\) \(20 + 4 = 24\) Final Answer: 24 baskets
Q19: A toy store has 225 toy cars. They need to pack them into boxes with 9 cars in each box. How many boxes will they need?
Solution:
Ans: We divide the total toy cars by the number per box. \(225 \div 9\) Using place value: \(225 = 180 + 45\) \(180 \div 9 = 20\) \(45 \div 9 = 5\) \(20 + 5 = 25\) Final Answer: 25 boxes
Q20: A library has 324 books to place equally on 6 shelves. How many books will be on each shelf?
Solution:
Ans: We divide the total books by the number of shelves. \(324 \div 6\) Breaking by place value: \(324 = 300 + 24\) \(300 \div 6 = 50\) \(24 \div 6 = 4\) \(50 + 4 = 54\) Final Answer: 54 books
The document Worksheet (with Solutions): Division With Place Value is a part of the Grade 4 Course Math Grade 4.
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