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Scientific Notation and Significant Figures
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Scientific Notation
used to easily write large/small numbers; written with one non-zero number left of the decimal
Significant Figures
communicates how precisely a number is known
3 Rules of Zeroes for SigFigs
1) Leading Zeroes are never Significant
2) Trailing Zeroes are dependent on Decimal (No → not, Yes → yes)
3) Zeroes between SigFigs are always Significant
Rule for Multiplication and Division
result can’t have more sigfigs than FEWEST sigfig number
Rule for Addition and Subtraction
result must have same decimal place as least precise digit
Precision
how close measurements are to each other
Accuracy
how close measurement is to true value