Large Numbers: Error Analysis & Misconceptions
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying and correcting common errors in writing large numbers in scientific notation, aimed at Grade 6 students. Includes practice, reasoning, real-world scenarios, and extension questions.
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Large Numbers: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions carefully. Show your working in the grid spaces provided.
1.
Write 3,600,000 in scientific notation.
[2 marks]2.
Express 0.000045 in scientific notation.
[2 marks]3.
Convert 7.89 x 10^4 to a standard number.
[3 marks]4.
What is the scientific notation for 5,200,000?
[2 marks]B
Problem Solving & Reasoning
Read the problems carefully and show all your working.
1.
A factory produces 1.2 x 10^8 units of a product annually. How many units is that in standard form?
[3 marks]2.
A researcher records a data value as 6.4 x 10^3. If the value was mistakenly written as 64 x 10^2, identify and correct the mistake.
[3 marks]C
Real-world Applications
Apply your understanding to these real-world scenarios.
1.
The distance from Earth to Mars varies between 5.5 x 10^7 km and 4.0 x 10^8 km. Express these distances in standard form.
[3 marks]2.
A car's speed is 2.5 x 10^2 km/h. How many km does it travel in 3 hours?
[3 marks]D
Challenge & Extension
Attempt these more difficult problems for extension.
1.
Express (9 x 10^2) x (4 x 10^3) as a single scientific notation.
[3 marks]2.
A population of a city is 8.9 x 10^6. If the population grows by 2 x 10^5 annually, what will be the population after 3 years? Express your answer in scientific notation.
[4 marks]E
Mixed Review & Error Analysis
Review the questions below, identify errors, and correct them.
1.
A student wrote 0.00089 as 8.9 x 10^4. Identify and correct the mistake.
[2 marks]2.
A problem states 6.02 x 10^23 is written as 6.02 x 10^3. Explain why this is incorrect and correct it.
[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