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# Measurements And Sig Figs

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### Measurements And Sig Figs

1. 1. Precision<br />Precision measures the reproducibility of your value.<br />Precise means “repeatable, reliable, getting the same measurement each time.”<br />
2. 2. Accuracy<br />Accuracy is the extent to which a measurement approaches the true value.<br />Accurate means &quot;capable ofproviding a correct reading or measurement.&quot; A measurement is accurate if it correctly reflects the size of the thing being measured.<br />
3. 3. Measurements<br />All of our measurements must have units on them.<br />The SI system is used<br />Use the metric system<br />Mass is in grams (g)<br />Length is in meters (m)<br />Volume in liters (L)<br />
4. 4. Metrics<br />
5. 5. Temperature<br />A measure of the average kinetic energy of the particles in the sample<br />The SI unit is Celcius (C)<br />TF = 1.8tC + 32<br />
6. 6. Taking Measurements<br />Always estimate one digit passed the last readable digit<br />This shows the uncertainty in our measurements<br />
7. 7. Significant Figures<br />When a measurement is recorded only those digits that are dependable are written down. <br />
8. 8. Rules for Counting Sig Figs<br />Nonzero integers always count as significant figures<br />3456 has 4 sig figs.<br />Leading zeros are never significant<br />0.000757 has 3 sig figs<br />Captive zeros always count as significant figures<br />16.07 has 4 sig figs<br />Trailing zeros are significant only if the number contains a decimal point.<br />9.300 has 4 sig figs<br />
9. 9. Mathematical Operations and Sig Figs<br />(+) and (-) : # sig figs in the result equals the number of decimal places in the least precise measurement.<br />6.8 + 11.934 =<br /> 22.4896  22.5<br /> (3 sig figs)<br />(x) and (÷) : # sig figs in the result equals the number in the least precise measurement used in the calculation.<br />6.38  2.0 =<br /> 12.76  13 (2 sig figs)<br />
10. 10. Scientific Notation<br />Allows easy conversion from decimal form to powers of 10<br />Always have one number before the decimal<br />4567 = 4.567x103<br />0.000345 = 3.45x10-4<br />The number after the 10 tells you how many spaces to move the decimal to the left or right<br />Shows how many of the numbers are significant<br />