Place value
Scientific notation worksheets
Choose 20 conversion questions or an optional English 10-task understanding lesson with coefficient normalization, misconception checks and a separate reasoning key.
Preview and downloadExponents and radicals practice
Scientific notation operations worksheets
Select multiplication, division and powers for 12 scientific notation problems. Choose exponent signs, normalize coefficients and keep exact answers or clearly marked approximations.
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Calculate, then rewrite the result with coefficient magnitude from 1 up to but not including 10. Keep the exact value when shown; approximate signs identify rounded coefficients.
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Exact arithmetic with a clear rounding policy
These questions treat numbers as exact values. They do not apply significant-figure rules for measured quantities. The final scientific coefficient has magnitude at least 1 and less than 10.
The key keeps exact terminating coefficients with up to six decimal places. Longer or repeating coefficients are rounded to three decimal places, with exact halfway cases rounded away from zero. An approximate sign marks that rounding.
Practice conversion first → Explore measurement precision →
The preview and downloaded PDF use the same resolved questions. Answers follow on separate pages; choose the student-only edition when handing out the exercise.
Learning objective
What this activity builds
Calculate with normalized scientific notation by combining coefficient arithmetic with powers-of-ten rules.
Worked example
Calculate (4 × 10⁵) × (3 × 10⁻²).
1.2 × 10⁴.
Multiply coefficients to get 12 and add exponents to get 10³. Rewrite 12 × 10³ as 1.2 × 10⁴ to normalize the coefficient.
Teaching notes
Make the practice count
- Calculate the coefficient and exponent separately.
- Normalize only after the operation.
- Use an estimate to check the order of magnitude.
- Separate ordinary exact arithmetic from significant-figure measurement rules.
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Customize the practice
Choose your options, update the preview, then download the exact same pages.
Choose the mathematical settings. Every worksheet is balanced, reproducible, and checked with exact arithmetic.
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A useful next step
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