Large Numbers: Error Analysis & Misconceptions
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet explores large number addition, highlighting common errors and misconceptions. Students will analyze mistakes, practice procedural skills, and solve real-world problems involving large numbers.
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Large Numbers: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
Name:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Solve the following addition problems involving large numbers. Show your working in the grid spaces provided.
1.
Calculate 3,425,789 + 1,278,543.
[2 marks]2.
Add 12,345,678 and 9,876,543.
[2 marks]3.
Find the sum of 48,765,432 and 5,432,109.
[2 marks]4.
Add 7,654,321 to 3,210,987.
[2 marks]B
Problem Solving & Reasoning
Solve the multi-step problems below and explain your reasoning clearly.
1.
A company has total sales of 125,789,654 dollars in one year. They invest 23,456,789 dollars back into development. How much is left after the investment?
[3 marks]2.
A library has 2,345,678 books. They donate 456,789 books to other libraries and then receive a shipment of 123,456 new books. How many books are now in the library?
[3 marks]C
Real-world Applications
Apply your knowledge to these real-world context problems.
1.
A city’s population was 8,765,432 last year. Due to new developments, it increased by 1,234,567 this year. What is the new population?
[3 marks]2.
A warehouse stored 5,432,109 units of product last month. This month, they received an additional 2,345,678 units. How many units are now stored?
[3 marks]D
Challenge & Extension
Tackle these more difficult problems to extend your understanding.
1.
Add 999,999,999 to 123,456,789. Explain why the result is close to a billion.
[3 marks]2.
Estimate the sum of 567,890,123 and 432,109,876 without exact calculation. Justify your estimate.
[3 marks]E
Mixed Review & Error Analysis
Review the following common errors and identify/correct the mistakes.
1.
A student added 123,456,789 and 987,654,321 and got 1,111,111,000. Find the mistake and correct it.
[3 marks]2.
Identify the mistake: 45,678,901 + 5,432,109 = 50,111,000. Fix the error.
[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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet