Large Numbers: Real-world Applications in Nature & Environment
Mathematics
Year 9
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on writing large numbers in standard form with real-world contexts related to nature and the environment.
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Large Numbers: Real-world Applications in Nature & Environment
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Express 3,600,000,000 in scientific notation.
[2 marks]2.
Convert 0.000045 in scientific notation.
[2 marks]3.
Calculate the number of seconds in a year, given that 1 year ≈ 365 days.
[3 marks]4.
A rainforest covers approximately 2.5 million square kilometers. Write this area in scientific notation.
[2 marks]B
Fluency & Practice
Answer the following questions to practice your procedural skills.
1.
Write 7,200,000,000 in standard form.
[2 marks]2.
Express 6.75 x 10^8 as a regular number.
[2 marks]3.
If a large asteroid has a mass of 9.7 x 10^15 kilograms, express this in standard form.
[2 marks]C
Problem Solving & Reasoning
Solve these multi-step problems involving large numbers.
1.
A population of a certain endangered species is estimated at 5.2 million individuals. If conservation efforts increase this number by 15% annually, what will be the population after 2 years? Express your answer in scientific notation.
[4 marks]2.
A satellite orbits Earth at an altitude of approximately 4.2 x 10^5 meters. If the satellite's lifespan is estimated at 2 x 10^8 seconds, how many orbits can it complete in its lifespan? (Assume constant orbit time per revolution.)
[4 marks]D
Real-world Applications
Apply your knowledge to real-world environmental data scenarios.
1.
The total volume of plastic waste generated globally in a year is approximately 3.4 trillion grams. Write this number in scientific notation.
[2 marks]2.
A rainforest produces about 2.1 x 10^8 liters of rainwater daily. How much rainwater does it produce in a non-leap year? (Assume 365 days)
[3 marks]E
Challenge & Extension
Tackle these more difficult problems for extension.
1.
A scientist measures the concentration of a pollutant in water as 4.8 x 10^5 particles per liter. If a lake contains 2.5 x 10^9 liters of water, estimate the total number of particles in the lake. Express your answer in scientific notation.
[3 marks]2.
Identify the mistake: Write 5.6 x 10^3 as a regular number and explain if this is correct or not.
[3 marks]F
Mixed Review
Answer these questions to review various aspects of large numbers.
1.
Convert 9.81 x 10^2 to a standard number.
[2 marks]2.
A glacier contains approximately 2.5 x 10^15 liters of ice. How many liters is that in standard form?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet