Significant Figures & Scientific Notation

# Significant Figures & Scientific Notation

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## Significant Figures & Scientific Notation

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1. 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.

2. Accuracy vs. Precision Accurate? Precise? Both? Neither?

3. Accuracy vs. Precision

4. 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.

5. 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

6. 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

7. 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

8. 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.

9. 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.

10. 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.

11. 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.