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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Multiple Exchanges: Error Analysis & Misconceptions

Subject: MathematicsGrade: Grade 6
Name:
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]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet