Place Value Shifts: Error Analysis & Misconceptions
Mathematics
Grade 8
15 questions
~30 mins
1 views0 downloads
About This Worksheet
This worksheet explores common errors and misconceptions related to dividing decimals by 10, 100, and 1000, focusing on understanding place value shifts. Students will analyze mistakes, practice procedures, and apply their knowledge in various contexts.
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Place Value Shifts: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Solve the following questions to reinforce your understanding of dividing decimals by 10, 100, and 1000.
1.
Calculate 6.48 ÷ 10. What is the result?
[2 marks]2.
Divide 0.789 by 100. Write your answer with one decimal place.
[2 marks]3.
What is 3.06 ÷ 1000?
[2 marks]B
Error Analysis & Misconceptions
Below are common mistakes made when dividing decimals. Read each and identify the error. Correct the mistake and explain your reasoning.
1.
Student claims: 4.56 ÷ 10 = 45.6. Identify and correct the mistake.
[3 marks]2.
A student says: 0.034 ÷ 1000 = 0.34. Find the error and fix the calculation.
[3 marks]3.
Error: 2.75 ÷ 100 = 27.5. Explain what went wrong and provide the correct answer.
[3 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems. Show your working clearly in the grid space.
1.
A recipe requires 2.4 liters of milk. If the milk is divided equally into 10 bottles, how much milk is in each bottle? Express your answer to three decimal places.
[4 marks]2.
A car's speed is 85.6 km/h. What is its speed in km/h when divided by 100?
[3 marks]3.
A student says: 'Dividing 0.009 by 10 gives 0.9.' Explain whether this is correct and why.
[4 marks]D
Real-world Applications
Read the scenario and solve the problem based on dividing decimals appropriately.
1.
A factory produces 12.56 meters of fabric each day. How much fabric is produced in 100 days? Write your answer in meters.
[4 marks]2.
A scientist measures 0.045 liters of a solution. How much is this when divided into 1000 parts? Express in liters.
[3 marks]E
Challenge & Extension
Attempt these advanced problems that require applying your understanding of place value shifts.
1.
Construct a decimal number between 0.5 and 0.6. Divide it by 10 and describe the change in place value.
[4 marks]2.
If a decimal number has 4 decimal places, how many decimal places will it have after dividing by 1000? Explain.
[4 marks]F
Mixed Review & Application
Answer these variety of questions to consolidate your understanding of place value shifts.
1.
Calculate 9.876 ÷ 100. What is the answer? Show your working.
[3 marks]2.
Explain why dividing 3.45 by 10 results in 0.345, relating to place value.
[4 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet