Large Numbers: Error Analysis & Misconceptions

Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focused on identifying and correcting misconceptions related to rounding large numbers to the nearest 100. Includes error analysis, procedural practice, and real-world application questions.

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Full preview • 11 questions

Large Numbers: Error Analysis & Misconceptions

Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Round 4,567,890 to the nearest 100 and explain why.
[2 marks]
2.
What is wrong with rounding 3,245,678 to the nearest 100 as 3,245,600? Correct the mistake and give the correct answer.
[3 marks]
3.
Calculate the rounded value of 9,876,543 to the nearest 100.
[2 marks]
4.
Identify the misconception: A student rounds 2,349,599 to 2,349,600, claiming the digit in the hundreds place is 9, so they round up. Is this correct? Explain.
[3 marks]
5.
Construct a number between 3,950,000 and 3,960,000 that rounds to 3,955,000 when rounded to the nearest 100.
[3 marks]
6.
A large number is rounded incorrectly to 8,200,000 when the actual number is 8,199,450. What is the original number? Show your reasoning.
[3 marks]
7.
In a real-world scenario, a bank reports an account balance of $1,245,678, rounding to the nearest 100. What is the balance? Why is this rounding appropriate?
[3 marks]
8.
Round 17,899,999 to the nearest 100. Explain your steps.
[2 marks]
9.
A student incorrectly rounds 5,432,145 to 5,432,100, claiming the digit in the hundreds place is 0. Is this correct? Correct the mistake if not.
[3 marks]
10.
Calculate the rounded value of 7,654,321 to the nearest 100.
[2 marks]
11.
Identify a common misconception students have when rounding large numbers and explain how to correct it.
[3 marks]

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Details

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