Same Digit Count: Error Analysis & Misconceptions
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and correctly applying the concept of ordering decimals with the same digit count, highlighting common misconceptions.
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Full preview • 12 questions
Same Digit Count: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Arrange the following decimals in increasing order: 3.45, 3.54, 3.43, 3.55.
[3 marks]2.
Identify the mistake: Students think 0.456 > 0.465 because they compare 4 and 5 before considering the second decimal digit.
[3 marks]3.
Place these decimals in order from smallest to largest: 7.777, 7.707, 7.770, 7.700.
[3 marks]4.
Construct a set of four decimals with exactly three decimal places that are ordered from smallest to largest: 0.123, 0.132, 0.213, 0.231.
[4 marks]5.
A student claims that 4.999 > 5.000 because 4.999 has a smaller digit in the units place. Explain why this is incorrect.
[3 marks]6.
Order these decimals: 2.222, 2.220, 2.202, 2.220.
[3 marks]7.
If two decimals have the same number of digits, what is the best way to compare them?
[2 marks]8.
Compare 0.9999 and 1.0000. Which is greater? Justify your answer.
[3 marks]9.
Order these decimals: 8.888, 8.880, 8.808, 8.800.
[3 marks]10.
Identify the common misconception that might lead students to incorrectly order 0.1234 and 0.124.
[3 marks]11.
Order these decimals: 5.555, 5.550, 5.505, 5.555.
[3 marks]12.
Explain why 0.9999 and 1.0000 are considered equal in value, even though they have different decimal representations.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet