rules for significant figures
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There are three rules on determining how many significant figures are in a number: 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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Rules for Significant Figures
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
Example: 0.500 or .632000 the zeros are significant ,0.006 or .000968 the zeros are NOT significant
For addition and subtraction use the following rules:
- Count the number of significant figures in the decimal portion ONLY of each number in the problem
- Add or subtract in the normal fashion
- Your final answer may have no more significant figures to the right of the decimal than the LEAST number of significant figures in any number in the problem.
For multiplication and division use the following rule:
- The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer. (You are now looking at the entire number, not just the decimal portion)
- This means you have to be able to recognize significant figures in order to use this rule*
Example: 5.26 has 3 significant figures , 6.1 has 2 significant figures
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