Definition of Significant figures:
- Significant figures are the digits in a measurement that carry meaning and contribute to its precision. They include all known digits plus one estimated digit.
Rules for Significant Figures:
- All non-zero digits are significant.
- Any zeros between significant digits are significant.
- Leading zeros (zeros to the left of the first non-zero digit) are not
- Trailing zeros in a decimal number are significant, but trailing zeros in a whole number without a decimal may or may not be significant, depending on the context.
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Example:
- 123.45 has 5 significant digits.
- 00456 has 3 significant digits (the zeros are not significant).
- 4500 has 2 significant digits (unless a decimal is added, e.g., 4500.0 has 5 significant digits).
Explanation:
- Significant figure is important in ensuring that measurements and calculations are not over-represented with more precision than the data supports.
- When performing calculations (addition, multiplication, etc.), the result should be reported with the appropriate number of significant digits based on the data used.
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