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5. Significant Figures- = represent the valid digits of a measurement and tells us how good your instrument is.
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A. Rules for Significant Figures:
Rule #1: Numbers other than zero are always significant. 96 g 2 sig figs 61.4g 3 sig figs 0.52 g 2 sig figs
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Rule #2: One or more final zeros used after
the decimal point are always significant. 4.72 Km 3 sig figs Km 5 sig figs 82.0 Km 3 sig figs
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Rule #3: Zeros between two other significant
digits are always significant. 5.029 m 4 sig figs 306 m 3 sig figs
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Rule #4: The rest of the zeros are not significant.
1 sig figs 3 sig figs
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MORE PRACTICE Identify the number of sig figs 345 ml 0.1120 g 3000 kg
0.01 cm 340 ml
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***When adding or subtracting give the answer in the least number of decimal places!!
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EXAMPLE: = 50.1 23,345 m m = m 15.0 ml – 5 ml = 10 ml
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***When multiplying or dividing give the answer in the least number of significant figures!!
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50.0 m x .09 m = 5 m2
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