Column Method: Space & Astronomy Real-world Applications
Mathematics
Grade 7
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet focused on applying the Column Method to multiply decimals in space and astronomy contexts, suitable for Grade 7 students. It includes practice, problem solving, real-world scenarios, and challenge questions.
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Full preview • 16 questions
Column Method: Space & Astronomy Real-world Applications
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the product of 3.4 and 2.1 using the Column Method.
[2 marks]2.
Multiply 0.75 by 4.2 using the column format. Show your working.
[3 marks]3.
What is 5.6 × 0.09? Perform the multiplication using the Column Method.
[2 marks]4.
Multiply 1.25 by 3.6 using the column method. Write the product.
[2 marks]5.
Calculate the product of 0.48 and 1.25. Show your working steps.
[3 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems related to space and astronomy. Show all working steps.
1.
A spaceship travels at 0.85 times the speed of light. If the speed of light is approximately 299,792 km/sec, what is the spaceship's speed? Calculate using the Column Method.
[4 marks]2.
A telescope lens produces a magnification of 2.5 times. If the lens's diameter is 1.2 cm, what is the effective diameter when viewed through the lens? Use decimal multiplication.
[3 marks]3.
A satellite covers 0.012 km per second. How far will it travel in 5.75 seconds? Use the column method to find the product.
[3 marks]C
Real-world Applications
Apply your skills to these space-related scenarios. Show your calculations clearly.
1.
A comet travels at 0.00073 AU (astronomical units) per day. How far does it travel in 365 days? Calculate using the Column Method.
[4 marks]2.
An astronomer observes a star's brightness decreases by a factor of 0.000045. If the original brightness was 1,000,000 units, what is the decreased brightness? Use decimal multiplication.
[2 marks]3.
A space probe's energy consumption is 0.0000125 megajoules per second. How much energy does it consume in 8.4 seconds? Show your working.
[3 marks]D
Challenge & Extension
Tackle these more difficult problems involving the Column Method and space contexts.
1.
A distant galaxy is measured to be 4.67 million light-years away. If a spaceship travels at 0.000052 times the speed of light, how many years would it take to reach the galaxy? Step-by-step calculation required.
[5 marks]2.
Construct a multiplication problem using decimal numbers between 0.1 and 1.0 that results in a product close to 0.005. Show the multiplication process.
[4 marks]E
Mixed Review
Answer these questions to reinforce your understanding of the Column Method with decimals.
1.
Multiply 0.33 by 0.66. Show all steps using the Column Method.
[3 marks]2.
Estimate the product of 2.45 and 3.19 without detailed calculation. Then verify by actual multiplication.
[3 marks]F
Error Analysis
Below are common mistakes made in decimal multiplication. Study these errors and identify what is wrong and how to correct it.
1.
A student multiplies 0.4 by 0.5 and writes 0.20 as the answer. What mistake did they make in the column method? How should it be corrected?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet