Multiple Exchanges: Error Analysis & Misconceptions
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and correcting errors in multiple exchanges during subtraction of large numbers, aimed at Grade 6 students.
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Full preview • 11 questions
Multiple Exchanges: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Date:
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Solve the following subtraction problems involving multiple exchanges. Show your working in the grid spaces provided.
1.
Calculate 7,856 - 4,379 using multiple exchanges. Show your steps.
[2 marks]2.
Subtract 12,045 from 20,639. Demonstrate the process with multiple exchanges.
[2 marks]3.
Perform 15,732 - 9,584 step by step, explaining each exchange.
[2 marks]B
Problem Solving & Reasoning
Solve the multi-step subtraction problems involving multiple exchanges and explain your reasoning.
1.
A bookstore has 18,245 books. After selling 6,789 books, they receive a new shipment of 4,563 books. How many books are now in the store? Show your detailed calculation.
[3 marks]2.
A factory produces 45,678 units in January. In February, production drops by 12,345 units. In March, it increases by 4,567 units. What is the total production after March? Explain your steps.
[3 marks]C
Real-world Applications
Apply subtraction with multiple exchanges to solve these practical problems.
1.
A student has $2,345. She spends $1,278 on books and $463 on supplies. How much money does she have left? Show your working.
[2 marks]2.
A farmer has 12,500 liters of water. He uses 3,475 liters for irrigation, then receives a delivery of 2,150 liters. How much water does he have now?
[2 marks]D
Challenge & Extension
Tackle these more complex problems involving multiple exchanges. Show detailed working.
1.
Calculate 25,489 - 16,278, where multiple exchanges are needed. Explain each step clearly.
[3 marks]2.
A school has 48,736 pages of books. They lend out 13,459 pages and then receive 2,385 pages in return. What is the current total number of pages available? Show your working.
[3 marks]E
Mixed Review & Error Analysis
Review the following common mistake in multiple exchanges and correct it.
1.
A student attempted to subtract 9,876 from 15,432 but incorrectly got 6,546. Identify the mistake in their exchange process and provide the correct steps.
[3 marks]2.
Subtract 23,456 from 45,789. A student incorrectly borrowed only once in the hundreds place. Explain why this is wrong and show the correct method.
[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