what is the important rules of significant figures?
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To determine the number of significant figures in a number use the following 3 rules: Non-zero digits are always significant. Any zeros between two significant digits are significant. A final zero or trailing zeros in the decimal portion ONLY are significant.
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The number of Significant figures from these rules:
- All the reported non-zero numbers in a measurement are significant. For example, 22.13 has 4 and 299792458 has 9 significant digits.
- Zeroes sandwiched anywhere between the non-zero digits are significant. For example, 299007900002400000058 has 21 significant digits, 102.4 has 4 and 1.024 also has 4.
- Zeroes to the left of a first non-zero digit are not significant. For example, 007 has 1 significant figure and 0.0000102 has 3.
- The trailing zeroes or the zeroes to the right of the last non-zero digit are significant if the number has a decimal point otherwise they are insignificant. For example, 0.00001020 has 4 and 70000000000000 has 1 significant figure only.
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