Long Division — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
132 ÷ 6 = 23 because 6 × 23 = 132.
Corrected: 132 ÷ 6 = 22 because 6 × 22 = 132.
The corrected sentence is: "132 ÷ 6 = 22 because 6 × 22 = 132." The error was wrong quotient: the original sentence "132 ÷ 6 = 23 because 6 × 23 = 132." needed to be fixed.
2. Fix the sentence:
245 ÷ 7 = 36 because 7 × 36 = 252.
Corrected: 245 ÷ 7 = 35 because 7 × 35 = 245.
The corrected sentence is: "245 ÷ 7 = 35 because 7 × 35 = 245." The error was wrong quotient: the original sentence "245 ÷ 7 = 36 because 7 × 36 = 252." needed to be fixed.
3. Fix the sentence:
91 ÷ 3 = 31 because 3 × 31 = 93.
Corrected: 93 ÷ 3 = 31 because 3 × 31 = 93, but 91 ÷ 3 = 30 R1.
The corrected sentence is: "93 ÷ 3 = 31 because 3 × 31 = 93, but 91 ÷ 3 = 30 R1." The error was wrong dividend: the original sentence "91 ÷ 3 = 31 because 3 × 31 = 93." needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 144 ÷ 8 = 18
The answer is 18. Since 8 x 18 = 144, dividing 144 by 8 gives exactly 18 with no remainder.
2. 216 ÷ 9 = 24
The answer is 24. Dividing 216 by 9 gives 24 because 9 x 24 = 216, so there is no remainder.
3. 294 ÷ 7 = 42
The answer is 42. Since 7 x 42 = 294, dividing 294 into 7 equal groups puts 42 in each group.
4. To check 153 ÷ 9 = 17, multiply 9 × 17 = 153
The answer is 153. You can verify a division by multiplying the divisor by the quotient: 9 x 17 = 153, which matches the original dividend.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. You divide 246 by 6 and get 41. Show how to check this answer using multiplication.
Sample answer: Multiply 6 × 41 = 246. Since 246 equals the dividend, the answer is correct.
A good answer includes: Multiply 6 × 41 = 246. Since 246 equals the dividend, the answer is correct.
2. A student says 200 ÷ 8 = 26. Is this correct? Explain how you know.
Sample answer: No. 8 × 26 = 208, not 200. The correct answer is 200 ÷ 8 = 25 because 8 × 25 = 200.
A good answer includes: No. 8 × 26 = 208, not 200. The correct answer is 200 ÷ 8 = 25 because 8 × 25 = 200.