Significant Figures Calculator
Count the significant figures in any number, or round it to a chosen number of sig figs. Accepts decimals and scientific notation (e.g. 1.230e4), live as you type.
Count significant figures
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Round to significant figures
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The sig fig rules
| Digits | Significant? | Example |
|---|---|---|
| Non-zero digits (1–9) | Always | 1234 → 4 |
| Zeros between non-zero digits | Always | 105 → 3 |
| Leading zeros | Never | 0.0052 → 2 |
| Trailing zeros with a decimal point | Yes | 1.200 → 4 |
| Trailing zeros without a decimal point | Ambiguous | 1200 → 2–4 |
| Digits in scientific notation | All of them | 1.230e4 → 4 |
Frequently asked questions
What are significant figures?
Significant figures (sig figs) are the digits in a number that carry meaningful information about its precision. In a measurement, they are the digits you are confident about plus one estimated digit — 12.34 cm has four sig figs.
How do I count significant figures?
Count all non-zero digits, all zeros between non-zero digits, and all trailing zeros after a decimal point. Ignore leading zeros, and treat trailing zeros with no decimal point as ambiguous. For example, 0.004503 has 4 sig figs and 1.200 has 4.
How do I round to 3 significant figures?
Keep the first three digits starting from the first non-zero digit and round based on the fourth. π = 3.14159… rounds to 3.14, and 4,567 rounds to 4,570 (often written 4.57 × 10³ to make the precision clear).
Are trailing zeros significant?
It depends on the decimal point. In 1.200 the trailing zeros are significant (4 sig figs — the value was measured to the thousandths). In 1200 they are ambiguous: the number could have 2, 3, or 4 sig figs, which is why scientists write 1.2 × 10³ when they mean two.
How do sig figs work in scientific notation?
Every digit in the mantissa is significant; the exponent only moves the decimal point. 1.230 × 10⁴ has 4 significant figures and equals 12,300.
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