Very Large Numbers: Error Analysis & Misconceptions

Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on rounding very large numbers to the nearest 1000, highlighting common errors and misconceptions for Grade 7 students.

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Very Large Numbers: Error Analysis & Misconceptions

Subject: MathematicsGrade: Grade 7
Name:
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Untitled Worksheet

Grade Grade 7
A

Introduction

Read the following key concept before attempting the questions.
1.
When rounding very large numbers to the nearest 1000, focus on the thousands digit and the digit immediately to its right. If that digit is 5 or more, round up; if less than 5, round down.
[2 marks]
B

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Round 5,678,912 to the nearest 1000.
[2 marks]
2.
Round 123,456,789 to the nearest 1000.
[2 marks]
3.
Round 987,654,321 to the nearest 1000.
[2 marks]
4.
Round 1,234,567,890 to the nearest 1000.
[2 marks]
C

Problem Solving & Reasoning

Solve the problems and explain your reasoning clearly.
1.
A national population is estimated at 789,123,456. Round this number to the nearest 1000 and explain why you chose that value.
[3 marks]
2.
A scientific measurement reports 3,456,789,012. Students claim it should be rounded to 3,456,789,000. Is this correct? Justify your answer.
[3 marks]
D

Real-world Applications

Apply rounding to practical scenarios.
1.
A country's GDP is reported as $12,345,678,901. Round it to the nearest 1000 for a simplified financial report. Why is this rounding appropriate in this context?
[3 marks]
E

Challenge & Extension

Tackle these advanced problems involving very large numbers.
1.
Construct a number with 12 digits that, when rounded to the nearest 1000, gives 9,876,543,000. Explain your reasoning.
[4 marks]
2.
Identify and correct the mistake in this student's rounding: They rounded 4,567,890,123 to 4,567,900,000.
[3 marks]
F

Mixed Review

Answer these questions to review your understanding of very large numbers.
1.
Round 7,654,321,987 to the nearest 1000, then verify your answer by performing the rounding process step-by-step.
[3 marks]
2.
A data set contains 123,456,789,012. What is this number rounded to the nearest 1000? Describe a potential mistake a student might make when rounding such a large number.
[3 marks]

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Details

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