Significant Figures
* What they are: The digits in a measurement that contribute to its accuracy. They convey the reliability of a measurement.
* How to determine them:
* Non-zero digits: All non-zero digits are significant.
* Zeros between non-zero digits: Zeros between non-zero digits are significant.
* Leading zeros: Zeros to the left of the first non-zero digit are not significant.
* Trailing zeros: Zeros to the right of the last non-zero digit are significant if and only if the number contains a decimal point.
* Example:
* 0.0045: Two significant figures (4 and 5)
* 10.045: Five significant figures (all digits)
* 1000: One significant figure (only the first zero is significant)
* 1000.0: Five significant figures (all digits are significant because of the decimal point)
More Precision, More Significant Figures
* More significant figures: More precise measurement.
* Fewer significant figures: Less precise measurement.
Important Note: Precision is not the same as accuracy. While precision refers to the reproducibility of a measurement (how close repeated measurements are to each other), accuracy refers to how close a measurement is to the true value.
Let me know if you'd like more examples or clarification on any aspect!
