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Significant Figures Calculator Information
What are Significant Figures?
Significant figures (sig figs) are the digits in a number that carry meaning about its precision. They include all nonzero digits, zeros between nonzero digits, and trailing zeros in the decimal part.
123.45 has 5 significant figures
0.004560 has 4 significant figures
0.004560 has 4 significant figures
Example: 0.004560
Leading zeros are not significant
The digits 4, 5, 6, and the trailing zero are significant (4 sig figs)
The digits 4, 5, 6, and the trailing zero are significant (4 sig figs)
Why Use Significant Figures?
- Science & Chemistry: Report measurements with correct precision.
- Math: Round results to the right number of digits.
- Engineering: Communicate tolerances and accuracy.
- Everyday Life: Avoid over- or under-stating precision.
Tips for Counting Significant Figures
- Nonzero digits: Always significant.
- Leading zeros: Never significant.
- Captive zeros: Zeros between nonzero digits are significant.
- Trailing zeros: Significant only if there is a decimal point.
Frequently Asked Questions (FAQ)
Q: Why do significant figures matter?
A: They show the precision of a measurement or calculation.
Q: How do I round to a certain number of sig figs?
A: Keep the leftmost digits and round the last one as needed.
Q: Are zeros always significant?
A: No. Leading zeros are not, but captive and trailing zeros can be.
Q: How do I handle scientific notation?
A: Only the digits in the coefficient count as significant.
Q: Can I use this for decimals and whole numbers?
A: Yes, the calculator works for both.