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significant figures

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Significant Figures Rules
  1. Non-zero digits are always significant (1–9).
  2. Zeros between non-zero digits are significant (101 → 3 sig figs).
  3. Leading zeros are NOT significant (0.0045 → 2 sig figs).
  4. Trailing zeros after a decimal ARE significant (1.200 → 4 sig figs).
  5. Trailing zeros in whole numbers are ambiguous (1200 → typically 2 sig figs; use scientific notation to clarify).
  6. Exact numbers (counts, definitions) have infinite sig figs.

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Frequently Asked Questions

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Are leading zeros significant?

No. Leading zeros (zeros before the first non-zero digit) are never significant. For example, 0.0045 has only 2 significant figures (4 and 5).

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Identify the first significant figure, count to the desired number of sig figs, then look at the next digit. If it is 5 or greater, round up the last kept digit. If less than 5, keep the last digit as is.