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Significant Figures & Scientific Notation. Physics. Significant Figures. Indicate accuracy of measurements Several rules for # of significant figures.. Non-zero digits are always significant. Any zeros between two significant digits are significant.
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Significant Figures Indicate accuracy of measurements Several rules for # of significant figures.. • 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.
Accuracy vs. Precision Accurate? Precise? Both? Neither?
Significant Figures Indicate accuracy of measurements Several rules for # of significant figures.. • 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.
Significant Figures Indicate accuracy of measurements Several rules for # of significant figures.. • 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. 0138.44 138.44
Significant Figures Indicate accuracy of measurements Several rules for # of significant figures.. • 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. 80210 5009
Significant Figures Indicate accuracy of measurements Several rules for # of significant figures.. • 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. 9.01000 290.0
Scientific Notation • Common technique used to express very large or very small numbers. • Large #: Mean distance from Earth to Sun • 93,000,000 miles • Small #: Mean distance across a helium atom • 0.00000000000008699 miles • Maintain accuracy! (Keep same # of significant figures) • Only 1 significant figure to the left of the decimal point.
Scientific Notation • Common technique used to express very large or very small numbers. • Large #: Mean distance from Earth to Sun • 93,000,000 miles • Small #: Mean distance across a helium atom • 0.00000000000008699 miles • Maintain accuracy! (Keep same # of significant figures) • Only 1 significant figure to the left of the decimal point.
Scientific Notation • Common technique used to express very large or very small numbers. • Large #: Mean distance from Earth to Sun • 93,000,000 miles • Small #: Mean distance across a helium atom • 0.00000000000008699 miles • Maintain accuracy! (Keep same # of significant figures) • Only 1 significant figure to the left of the decimal point.
Scientific Notation • Common technique used to express very large or very small numbers. • Large #: Mean distance from Earth to Sun • 93,000,000 miles • Small #: Mean distance across a helium atom • 0.00000000000008699 miles • Maintain accuracy! (Keep same # of significant figures) • Only 1 significant figure to the left of the decimal point.