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Scientific Notation and Significant Figures Worksheet Generator

Notation, counting, rounding, and calculations with sig fig rules. No AI, no credits.

Grades 6 – 12No account needed

Practice sheets for converting between standard form and scientific notation, counting significant figures, rounding to a given number of significant figures, and calculations that follow significant figure rules (add, subtract, multiply, divide, mixed operations, and scientific notation arithmetic). Every answer is computed by two independent methods (the sig figs engine vs an independent string-based counter). No AI, so it never uses a generation credit.

What students practice

  • Science Skills
  • Significant figures
  • Scientific notation

Live sample sheet

No account needed to view and print.
Name: ____________________Date: ____________

Scientific Notation and Significant Figures

1. Round 86.15 to 3 significant figures.
2. How many significant figures are in 8.7?
3. Round 275 to 1 significant figure.
4. Round 8346 to 2 significant figures.
5. How many significant figures are in 2.37 × 10^5?
6. How many significant figures are in 0.00030?
7. Round 19491 to 1 significant figure.
8. How many significant figures are in 0.000680?
9. How many significant figures are in 2.581 × 10^5?
10. Round 7.9845 to 3 significant figures.
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Answer Key — Scientific Notation and Significant Figures

1. Round 86.15 to 3 significant figures.
Solution:
Start with 86.15.
Identify the first 3 significant digits.
Look at the next digit to decide rounding.
Answer: 86.2
Answer: 86.2
2. How many significant figures are in 8.7?
Solution:
Value: 8.7
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 2 significant figures.
Answer: 2
3. Round 275 to 1 significant figure.
Solution:
Start with 275.
Identify the first 1 significant digits.
Look at the next digit to decide rounding.
Answer: 300
Answer: 300
4. Round 8346 to 2 significant figures.
Solution:
Start with 8346.
Identify the first 2 significant digits.
Look at the next digit to decide rounding.
Answer: 8300
Answer: 8300
5. How many significant figures are in 2.37 × 10^5?
Solution:
Value: 2.37 × 10^5
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 3 significant figures.
Answer: 3
6. How many significant figures are in 0.00030?
Solution:
Value: 0.00030
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 2 significant figures.
Answer: 2
7. Round 19491 to 1 significant figure.
Solution:
Start with 19491.
Identify the first 1 significant digits.
Look at the next digit to decide rounding.
Answer: 20000
Answer: 20000
8. How many significant figures are in 0.000680?
Solution:
Value: 0.000680
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 3 significant figures.
Answer: 3
9. How many significant figures are in 2.581 × 10^5?
Solution:
Value: 2.581 × 10^5
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 4 significant figures.
Answer: 4
10. Round 7.9845 to 3 significant figures.
Solution:
Start with 7.9845.
Identify the first 3 significant digits.
Look at the next digit to decide rounding.
Answer: 7.98
Answer: 7.98
Answers computed by code and double-checked by two independent methods.

Assumptions and Conventions

Assumptions:
  • Significant figures: strict mode, half-up rounding.
  • Leading zeros are never significant.
  • Trailing zeros with a decimal point are significant.
  • Trailing zeros without a decimal point are ambiguous and not counted unless marked.
  • Exact numbers (counts, defined conversions) do not limit precision.
  • Add and subtract: the result has the same number of decimal places as the operand with the fewest decimal places.
  • Multiply and divide: the result has the same number of significant figures as the operand with the fewest significant figures.
Conventions:
  • Trailing zeros without a decimal point are treated as not significant (ambiguous).
  • Scientific notation is used to express trailing zeros unambiguously.
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Frequently asked questions

Do students need an account to use the Scientific Notation and Significant Figures?

No. Students never need an account. They open a shared link or join with a code.

Can I print the Scientific Notation and Significant Figures without signing up?

Yes. This tool computes answers by code, so you can generate, preview and print worksheet without an account. A free account adds saving and student links.

How are the answers computed?

Every answer is computed by code and verified by a second independent method. No AI is used.

What grades is the Scientific Notation and Significant Figures for?

This tool fits Grades 6 – 12.

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Sample output, computed by code — change the options and Generate to make your own
Name: ____________________Date: ____________

Scientific Notation and Significant Figures

1. Round 5.85 to 2 significant figures.
2. Round 59896 to 2 significant figures.
3. How many significant figures are in 0.008677?
4. How many significant figures are in 27?
5. How many significant figures are in 6.9?
6. How many significant figures are in 8.057 × 10^3?
7. Round 848 to 1 significant figure.
8. How many significant figures are in 474.0?
9. Round 30515 to 4 significant figures.
10. Round 7.27 × 10^3 to 2 significant figures.
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Answer Key — Scientific Notation and Significant Figures

1. Round 5.85 to 2 significant figures.
Solution:
Start with 5.85.
Identify the first 2 significant digits.
Look at the next digit to decide rounding.
Answer: 5.9
Answer: 5.9
2. Round 59896 to 2 significant figures.
Solution:
Start with 59896.
Identify the first 2 significant digits.
Look at the next digit to decide rounding.
Answer: 60000
Answer: 60000
3. How many significant figures are in 0.008677?
Solution:
Value: 0.008677
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 4 significant figures.
Answer: 4
4. How many significant figures are in 27?
Solution:
Value: 27
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 2 significant figures.
Answer: 2
5. How many significant figures are in 6.9?
Solution:
Value: 6.9
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 2 significant figures.
Answer: 2
6. How many significant figures are in 8.057 × 10^3?
Solution:
Value: 8.057 × 10^3
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 4 significant figures.
Answer: 4
7. Round 848 to 1 significant figure.
Solution:
Start with 848.
Identify the first 1 significant digits.
Look at the next digit to decide rounding.
Answer: 800
Answer: 800
8. How many significant figures are in 474.0?
Solution:
Value: 474.0
Leading zeros are not significant.
Trailing zeros with a decimal point are significant.
Trailing zeros without a decimal point are not significant.
Count: 4 significant figures.
Answer: 4
9. Round 30515 to 4 significant figures.
Solution:
Start with 30515.
Identify the first 4 significant digits.
Look at the next digit to decide rounding.
Answer: 30520
Answer: 30520
10. Round 7.27 × 10^3 to 2 significant figures.
Solution:
Start with 7.27 × 10^3.
Identify the first 2 significant digits.
Look at the next digit to decide rounding.
Answer: 7.3
Answer: 7.3
Answers computed by code and double-checked by two independent methods.

Assumptions and Conventions

Assumptions:
  • Significant figures: strict mode, half-up rounding.
  • Leading zeros are never significant.
  • Trailing zeros with a decimal point are significant.
  • Trailing zeros without a decimal point are ambiguous and not counted unless marked.
  • Exact numbers (counts, defined conversions) do not limit precision.
  • Add and subtract: the result has the same number of decimal places as the operand with the fewest decimal places.
  • Multiply and divide: the result has the same number of significant figures as the operand with the fewest significant figures.
Conventions:
  • Trailing zeros without a decimal point are treated as not significant (ambiguous).
  • Scientific notation is used to express trailing zeros unambiguously.
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Scientific Notation and Significant Figures - Chemistry - Notation and calculations

Scientific notation, counting and rounding significant figures, and calculations with sig fig rules. No AI, no credits.

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