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Significant Figures Overview. Physics. Applying Precision - Accuracy. Scientists use significant figures to show precision of a measured quantity Significant figure : Prescribed decimal place determining the amount of rounding-off when assessing the precision of a measurement
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Significant Figures Overview Physics
Applying Precision - Accuracy • Scientists use significant figures to show precision of a measured quantity • Significant figure: Prescribed decimal place determining the amount of rounding-off when assessing the precision of a measurement • Round your answers to the correct significant figures
Significant Figures – Counting Rules • ALL non-zero digits are Significant • Leading and trailing zeros are not significant • 2500 and 0.000036 have TWO Significant Figures • Zeros in between Non-Zeros are significant • 2501 and 2003 have FOUR Significant Figures • Zeros after a decimal point ARE SIGNIFICANT • They do not begin the number • 25.00 and 15.10 have FOUR Significant Figures
Significant Figures – Adding/Subtracting • The answer cannot have more decimal places than the least number of decimal places in the calculation • Add 15.1 to 3 • The answer is 18
Significant Figures – Multiplication/Division • Based on the givens or what you think are measured values, round your answer so that it has the same number of significant figures as the input ( or given ) with the fewest number of significant figures • Multiply 2.0 and 3.01 • Answer in correct significant figures is 6.0