Year 9 - Scientific notation - Free practice
Year 9 Scientific Notation Worksheets
Standard form, conversions, calculations with very large and very small numbers.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Year 9 introduces scientific notation as the way to handle astronomically large and microscopically small numbers cleanly. These worksheets give your student practice converting both ways and performing operations in standard form.
What's covered
Sub-skills your student will practise
- ✓Converting between standard form and decimal form
- ✓Multiplying and dividing in scientific notation
- ✓Adding and subtracting (matching powers first)
- ✓Comparing the size of numbers in standard form
- ✓Real-world applications (astronomy, microbiology, physics)
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Frequently asked
Questions parents ask about scientific notation
What's scientific notation?
A way of writing very large or very small numbers as a single digit (followed by a decimal) times a power of 10. 65,000,000 in scientific notation is 6.5 x 10^7. 0.00043 is 4.3 x 10^-4.
When is scientific notation actually useful?
In astronomy (the distance from Earth to the Sun is 1.5 x 10^11 metres), biology (cells around 10^-5 m wide), physics (Planck's constant 6.6 x 10^-34). Most professional science uses it routinely.
How do students multiply in scientific notation?
Multiply the digits, add the exponents. (3 x 10^4) x (2 x 10^5) = 6 x 10^9. Then check the digit part is between 1 and 10 - if not, adjust the exponent.
Why is the digit between 1 and 10?
By convention. It keeps the form unique - 65 x 10^6 and 6.5 x 10^7 are the same number, so the 1-to-10 rule picks one canonical form. Some scientific contexts allow other normalisations but Year 9 uses the standard.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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