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Significant Figures

Significant Figures. Non-zeros are significant. Zeros between significant figures are significant. Trailing zeros after the decimal point are significant. Note: all measurements have some imprecision. Accurate counts can be perfect. Significant Figures.

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Significant Figures

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  1. Significant Figures • Non-zeros are significant. • Zeros between significant figures are significant. • Trailing zeros after the decimal point are significant. Note: all measurements have some imprecision. Accurate counts can be perfect.

  2. Significant Figures • x=16.3cm means 16.25cm<x<16.35cm • When measuring, estimate an extra digit. • Using a meter stick (precise to nearest 0.001m), if the measurement appears to be on a mark, add a zero. If it appears to be between two marks, add a “5”. • Ex: 45.70cm, 45.75cm, and 45.80cm are all valid, and different, measurements with a meter stick.

  3. Multiplication & Division • Round to the number of significant figures that the original measurement with the fewest significant figures has. • 43.6cm x 12.774cm = 556.9464 cm2 • Final answer: 557 cm2 • 351m/1.756s = 199.886…m/s • Final answer: 2.00x102 m/s

  4. Addition & Subtraction • Round to the decimal place of the least precise measurement. • 12s + 18.4s + 157.925s = 188.325s • Final answer: 188s.

  5. Unit Conversion • Multiply by a useful version of “1” • See inside of front cover and on p. 3 Convert 15 mi/h to m/s. Convert 4.7 m3/min to L/h.

  6. Read 6-10 HW: 7-26

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