Exchanging: Error Analysis & Misconceptions
Mathematics
Grade 8
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and correcting common misconceptions related to exchanging in 3-digit subtraction problems for Grade 8 students.
Worksheet Preview
Full preview • 14 questions
Exchanging: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Solve the following subtraction problems involving exchanging. Show your working in the grid spaces provided.
1.
Calculate 453 - 178 by correctly applying exchanging. Show your working.
[2 marks]2.
Subtract 632 - 479, ensuring exchanging is correctly performed. Write your answer and working.
[2 marks]3.
Find the difference: 521 - 367, showing the exchanging steps.
[2 marks]4.
Calculate 684 - 529 with proper exchanging. Write your working.
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems involving exchanging. Explain your reasoning.
1.
A bookstore has 783 books. If they sell 246 books this week, how many books are left? Show your working, explaining how exchanging is used in your subtraction.
[3 marks]2.
A factory produces 912 gadgets daily. If 487 gadgets are shipped out, how many gadgets remain? Use proper exchanging steps and explain.
[3 marks]C
Real-world Applications
Solve these contextual word problems involving exchanging in subtraction.
1.
Sara has 843 candies. She gives away 267 candies. How many candies does she have left? Show your calculation with exchanging.
[3 marks]2.
A school library has 965 books. If 418 books are borrowed, how many are left in the library? Explain your steps focusing on exchanging.
[3 marks]D
Challenge & Extension
Attempt these advanced problems involving exchanging in subtraction.
1.
Subtract 1003 - 768, paying special attention to the exchanging process. Show your detailed working.
[3 marks]2.
Find the difference: 1029 - 814. Demonstrate the exchanging process and justify each step.
[3 marks]E
Mixed Review
Answer these mixed questions to review your understanding of exchanging.
1.
Subtract 521 - 389, showing where exchanging occurs.
[2 marks]2.
Calculate 805 - 679, illustrating the exchanging step clearly.
[2 marks]F
Error Analysis & Misconceptions
The following students' solutions contain common mistakes in exchanging. Identify and correct the errors.
1.
A student subtracts 672 - 489 and gets 183 without exchanging. Identify the mistake and correct the calculation.
[3 marks]2.
Another student subtracts 805 - 679 and forgets to exchange, giving 126. Explain why this is incorrect and provide the correct answer with steps.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet