Place Value Shifts: Problem Solving & Reasoning
Mathematics
Grade 8
16 questions
~32 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of place value shifts when dividing decimals by 10, 100, and 1000. Students will develop procedural skills and reasoning for understanding how decimal positions change with division.
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Place Value Shifts: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Introduction
Read the following explanation carefully.
1.
Dividing a decimal by 10, 100, or 1000 shifts the decimal point to the left by 1, 2, or 3 places respectively. This process effectively reduces the value of the number based on its place value.
[2 marks]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Divide 4.56 by 10. Write your answer with proper place value shift.
[2 marks]2.
What is 0.789 divided by 100? Show the decimal shift.
[2 marks]3.
Calculate 9.123 divided by 1000. Write the result with correct decimal placement.
[2 marks]4.
Divide 0.056 by 10. What is the new value?
[2 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems and explain your reasoning.
1.
A store owner reduces the price of a $12.50 item by dividing its price by 100. What is the new price? Explain the place value shift involved.
[3 marks]2.
A scientist records a measurement of 0.0456 meters. If she divides this measurement by 10, what is the new measurement? Describe how the decimal position changes.
[3 marks]3.
A recipe calls for 2.4 liters of milk. If you divide the quantity by 1000 to convert to kiloliters, what is the result? Provide an explanation of the decimal shift.
[3 marks]4.
Explain why dividing 0.00345 by 100 results in a smaller decimal and how the decimal point moves.
[3 marks]D
Real-world Applications
Answer the following contextual problems.
1.
A parking meter shows 0.456 hours remaining. If the time is divided by 10, what is the new time in hours? Explain the place value shift.
[3 marks]2.
A water tank contains 0.789 liters. If the volume is divided by 100, what is the new volume? Describe the decimal shift involved.
[3 marks]E
Challenge & Extension
Tackle these advanced questions for extension.
1.
Divide 123.456 by 1000. Show the calculation and explain the decimal movement.
[4 marks]2.
A decimal number 0.98765 is divided by 10, then 100, then 1000. Write all three answers and describe how each decimal shifts relative to the original.
[4 marks]F
Mixed Review
Answer a variety of questions to review your understanding.
1.
Plot the graph of y = 2x for x values from 0 to 5. (Draw on the grid.)
[3 marks]2.
Construct a triangle where one side is 0.5 units long. Show how dividing 0.5 by 10, 100, and 1000 affects the length of the side.
[3 marks]3.
Identify and correct the mistake: 'Dividing 0.045 by 10 gives 0.45.'
[2 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