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The Metric System (SI) Common Metric Prefixes Factor NameSymbol 10 9 gigaG 10 6 megaM 10 3 kilok 10 -1 decid 10 -2 centic 10 -3 millim 10 -6 microµ 10.

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Presentation on theme: "The Metric System (SI) Common Metric Prefixes Factor NameSymbol 10 9 gigaG 10 6 megaM 10 3 kilok 10 -1 decid 10 -2 centic 10 -3 millim 10 -6 microµ 10."— Presentation transcript:

1 The Metric System (SI) Common Metric Prefixes Factor NameSymbol 10 9 gigaG 10 6 megaM 10 3 kilok 10 -1 decid 10 -2 centic 10 -3 millim 10 -6 microµ 10 -9 nanon 10 -12 picop See http://online.cctt.org/physicslab/content/Phy1/lessonnotes/metricsystem/lessonSIsystem.asphttp://online.cctt.org/physicslab/content/Phy1/lessonnotes/metricsystem/lessonSIsystem.asp

2 The Metric System (SI) SI fundamental units QuantityNameUnit lengthmeterm masskilogramkg timeseconds electric currentampereA temperaturekelvinK amount of substance molemol luminous intensitycandelacd See http://online.cctt.org/physicslab/content/Phy1/lessonnotes/metricsystem/lessonSIsystem.asphttp://online.cctt.org/physicslab/content/Phy1/lessonnotes/metricsystem/lessonSIsystem.asp

3 Significant Figures (or Digits) a.k.a. Sig Figs or Sig Digs A figure or digit is significant if… it is a nonzero figure. (52 has 2 sig figs) it is a figure between nonzero figures. (502 has 3 sig figs) it is a zero to the right of a decimal point and following a nonzero figure. (52.00 has 4 sig figs) it is a zero to the right of a nonzero figure, but left of an understood decimal, ONLY if specifically indicated to be significant by a bar. (52000 has 3 sig figs) A figure or digit is NOT significant if… it is a placeholder zero. to the right of a decimal point and to the left of a nonzero figure, i.e., PLACEHOLDER (0.00052 has 2 sig figs) to the right of nonzero figures with an understood decimal, i.e., PLACEHOLDER (5200 has 2 sig figs)

4 Rules for computations with significant figures… Analogy: A chain is only as strong as its weakest link. Addition/Subtraction Keep only the leftmost place of uncertain figures. It becomes the rightmost in the answer. (52.1 + 3.61972 = 55.7) Multiplication/Division The number of significant figures in the answer cannot exceed the number of significant figures in the least precise factor. (52 x 0.0387564 = 2.0)

5 Accuracy vs. Precision Target Analogy Precise, not accurate Accurate, not precise Both accurate & precise Neither accurate, nor precise

6 Measuring Accuracy Accuracy is the closeness of measurements to an accepted value Absolute Error, E a = |O-A| where O = observed value and A = accepted value Relative Error, E r = 100% (E a / A)

7 Measuring Precision Precision is the agreement among several measurements Absolute Deviation, D a = |O-M| where O = observed value and M = mean of measurements Relative Deviation, D r = 100% (D a avg / M)

8 Mass Density a measure of how much matter is packed in a given space Density = mass / volume On your own and before you get into your lab groups, come up with at least three questions about the accuracy and/or precision of density determination that your group could investigate.

9 The table below gives the accepted value for the density of each material at standard temperature and pressure. What is the specific gravity of each one? MaterialDensitySpecific Gravity brass8.56 g/cm 3 copper8.96 kg/dm 3 iron (steel)7.88 kg/dm 3 aluminum2.70 g/cm 3 nylon1.16 g/cm 3 acrylic1.19 kg/dm 3


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