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Respond in writing to the following quote:
“"The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' (I found it!) but 'That's funny...' "
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2.1 Real Scientific Methods
Is there really just one scientific method?
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Scientific Methods techniques used in science to discovery new knowledge, create new inventions, etc. there are many different ways- and many of them are not structured procedures Scientists must be great observers and very creative but also be prepared to make connections between what they know and what they see
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Making Observations 2 types of info:
Quantitative-numerical (usually numbers) Qualitative- descriptive (usually words) System- what you are studying
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Testing Ideas Figure out whether it is true or not Use experiments
Can kind of ideas can we test?
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2.2 Units of Measurement
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Measurement Quantitative information
Need a number and a unit (most of time) Represents a quantity For example: 2 meters 2 is number Meters is unit Length is quantity Units compare what is being measured to a defined measurement standard
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SI Measurement Le Systeme International d’Unites : SI
System of measurement agreed on all over the world in 1960 Contains 7 base units units are defined in terms of standards of measurement that are objects or natural occurrence that are of constant value or are easily reproducible We still use some non-SI units
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Important SI Base Units
Quantity Symbol Unit Abbreviation Length l meter m Mass kilogram kg Time t second s Temperature T Kelvin K Amount n mole mol
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Prefixes Prefixes are added to the base unit names to represent quantities smaller or larger M mega 106 1,000,000 larger k kilo 103 1,000 c centi 10-2 1/100 smaller m milli 10-3 1/1000 μ micro 10-6 1/1,000,000
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Mass Measure of the quantity of matter SI unit: kg use g a lot too
mass vs. weight weight is the measure of gravitational pull on matter mass does not depend on gravity on a new planet, mass would be same but weight could change
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Length SI unit: m use cm a lot too
km is used instead of miles for highway distances and car speeds in most countries
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Derived SI Units come from combining base units
combine using multiplication or division Example: Area: A = length x width = m x m = m2
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Volume amount of space occupied by object SI: m3 = m x m x m
use cm3 in lab a lot non-SI: 1 liter = 1000cm3 = 1000mL
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Density ratio of mass to volume SI:
characteristic property of substance (doesn’t change with amount ) because as volume increases, mass also increases density usually decreases as T increases exception: ice is less dense than liquid water so it floats
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Example A sample of aluminum metal has a mass of 8.4 g. The volume is 3.1 cm3. Find the density. Known Unknown m = 8.4 g D = ? V = 3.1 cm3
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Conversion Factors ratio that comes from a statement of equality between 2 different units every conversion factor is equal to 1 Example: statement of equality conversion factor
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Conversion Factors can be multiplied by other numbers without changing the value of the number since you are just multiplying by 1
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Guidelines for Conversions
always consider what unit you are starting and ending with if you aren’t sure what steps to take, write down all the info you know about the start and end unit to find a connection always begin with the number and unit you are given with a 1 below it always cancel units as you go the larger unit in the conversion factor should usually have a one next to it
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Example 1 Must use m as an intermediate Convert 5.2 cm to mm
Known: 100 cm = 1 m 1000 mm = 1 m Must use m as an intermediate
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Example 2 Must use g as an intermediate Convert 0.020 kg to mg
Known: 1 kg = 1000 g 1000 mg = 1 g Must use g as an intermediate
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Example 3 Must use g as an intermediate Convert 500,000 μg to kg
Known: 1,000,000 μg = 1 g 1 kg = 1000 g Must use g as an intermediate
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Advanced Conversions One difficult type of conversion deals with squared or cubed units Be sure to square or cube the conversion factor you are using to cancel all the units If you tend to forget to square or cube the number in the conversion factor, try rewriting the conversion factor instead of just using the exponent
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Example Convert: 2000 cm3 to m3 Known: 100 cm = 1 m
No intermediate needed Known: 100 cm = 1 m cm3 = cm x cm x cm m3 = m x m x m OR
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Advanced Conversions Another difficult type of conversion deals units that are fractions themselves Be sure convert one unit at a time; don’t try to do both at once Work on the unit on top first; then work on the unit on the bottom Setup your work the exact same way
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Example Convert: Known: 350 g/mL to kg/L 1000 g = 1 kg
No intermediate needed Known: 1000 g = 1 kg 1000 mL = 1 L OR
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Combination Example Convert: 7634 mg/m3 to Mg/L Known: 100 cm = 1 m
1000 mg = 1 g 1 cm3 = 1 mL 1,000,000 g = 1 Mg mL = 1 L
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2.3 Using Scientific Measurements
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Accuracy vs. Precision Accuracy- closeness of measurement to correct or accepted value Precision- closeness of a set of measurements
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Accuracy vs. Precision
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Percent Error vs. Percent Difference
Measures the accuracy of an experiment Can have + or – value
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Example Measured density from lab experiment is 1.40 g/mL. The correct density is 1.36 g/mL. Find the percent error.
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Significant Figures All certain digits plus one estimated digit
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Determining Number of Sig Figs
All non-zero numbers are sig figs Zeros depend on location in number: LEADING zeros never count EMBEDDED zeros always count TRAILING zeros only count if there is a point.
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Location of Zeros EMBEDDED: between non-zero numbers
All are sig figs LEADING: at front of all non-zero numbers None are sig figs TRAILING: at the end of non-zero numbers If there is a decimal, all are sig figs If there is not, none are sig figs
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Practice 101.02 IMBEDDED 5 20.0 TRAILING w/ 3 0.005302 LEADING 4
TRAILING w/o 2 TRAILING w/ 4
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Rounding Need to use rounding to write a calculation correctly
Calculator gives you lots of insignificant figures and you must round to the right place When rounding, look at the digit after the one you can keep Greater than or equal to 5, round up Less than 5, keep the same
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Examples Make the following have 3 sig figs: 761.50 762
762 14.3 10.4 10800 8020 204
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Using Sig Figs in Calculations
Adding/Subtracting: end with the least number of decimal places
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Using Sig Figs in Calculations
Adding/Subtracting: end with the least number of decimal places
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Using Sig Figs in Calculations
Multiplying/Dividing: end with the least number of sig figs
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Using Sig Figs in Calculations
Multiplying/Dividing: end with the least number of sig figs
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