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Mastering Significant Figures: A Practical Guide

Learn the rules for determining significant figures in numbers with and without decimals through detailed examples and practice exercises. Understand when zeros count and how to represent answers in scientific notation. 8 Relevant

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Mastering Significant Figures: A Practical Guide

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  1. Significant Figures! A.K.A. Sig. Figs.

  2. Actual measured #’s, not placeholders • Two techniques: • Numbers with decimals • Numbers without decimals

  3. NUMBERS WITH DECIMALS • Zero's in front of the number do not count. • All other digits including the ZERO’S at the end are significant!

  4. PRACTICE #1 • 100.0 • 0.002 • 2.04 • 0.023420 = 4 = 1 = 3 = 5

  5. NUMBERS WITHOUT DECIMALS • All digits count except 0’s at the end. • Sandwiched zeros count!

  6. PRACTICE #2 = 3 = 1 = 1 = 4 • 154 • 100 • 10000 • 65010

  7. PRACTICE #3 = 5 = 5 = 3 = 3 • 1000.0 • 10001 • 1.00 x 105 • 4.24 x 107

  8. SUMMARY 0’s in front don’t count No decimal? 0’s in back don’t count Sci. Not.? All digits count!

  9. Your answer: 100 Only 1 sig fig! 1.00 x 102 From now on put all answers into scientific notation!

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