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1 Scientific Processes
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2 The Scientific Method
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observation exercise / hypothesis activity 3 Our Scientific Method Make an observation Consult authority Make a prediction Form a hypothesis Test the hypothesis (experiment) Analyze results Accept/ reject hypothesis Communicate results
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Sponge Bob activity 4 Designing an Experiment A good experiment seeks to prove a hypothesis false Parts of an experiment: Test groupTest group Control groupControl group Independent variableIndependent variable Dependent variableDependent variable
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5 Scientific Notation A short-hand way to write really, really large or small numbers 3 x 10 2 3 x 10 2 The whole number is the coefficient The 10 is the base The superscript is the exponent
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6 Advantages to Using Scientific Notation Saves space Indicates the accuracy/precision of the number Makes the number easier to manipulate in calculations
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7 Rules of Calculation Whole numbers have a positive exponent Fractions have a negative exponent When numbers are multiplied, the exponents are added When numbers are divided, the exponents are subtracted
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8 Practice Sci-Notation Write the following in scientific notation: 5437 200 000 0.0053 Write the following in standard notation 4.23 x 10 3 1.2 x 10 -3 3.45 x 10 5
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9 Practice: Calculations (2.0 x 10 2 ) x (4.3 x 10 5 ) 6.3 x 10 1 ) x (5.0 x 10 6 ) 3.6 x 10 6 / 2.0 x 10 5 4.8 x 10 9 / 2.2 x 10 6
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10 Significant figures Measurements are only as accurate & precise as the instrument producing the measurement Significant figures are used to express the accuracy of a number
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11 Sig-fig Rules Numbers 1-9 are always significant Zeros between significant figures are always significant Trailing zeros are significant only if the number contains a decimal point Zeros in the beginning of a number are not significant Zeros following a decimal significant figure are significant
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12 Examples 123 has three sig-figs 4.008 has four sig-figs 300.0 has four sig-figs but 3000 has only one sig-fig 0.0034 has two sig-figs 0.000670 has three sig-figs but 0.67000 has 5 sig-figs
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13 Practice: Sig-figs Determine the number of sig-figs in the following numbers: 0.03 5 000 609 609.0 0.03 5 000 609 609.0
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14 Calculating with Sig-figs In multiplication or division limit and round to the least number of significant figures in any of the factors Ex: 23.0 cm x 432 cm x 19 cm = 188 784 cm 3 the answer is expressed as 190 000 cm 3 since 19 cm has only two sig-figs
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15 In addition or subtraction, limit and round your answer to the least number of decimal places in any of the numbers that make up your answer Ex:123.25 ml + 46.0 ml + 86.257 ml = 255.507 ml The answer is expressed as 255.5 ml since 46.0 ml has only once decimal place
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16 Percent Error A way to express how far off a laboratory value is from the accepted value Formula: % error = (accepted value - experimental value / accepted value) x 100
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17 Practice: Percent Error E.V. = 1.24 g A.V. = 1.30 g % error = 4.62 % error = 4.62 E.V. = 252 ml A.V. = 225 ml % error = -12.0 E.V. = 1.24 x 10 -2 A.V. = 9.98 x 10 -3 % error = -2.43 x 10 -5
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18 Measurements Two systems: British & Metric British is used in U.S.A. standard units: foot, pound, gallon standard units: foot, pound, gallon Metric is used worldwide standard units: meter, kilogram, standard units: meter, kilogram, liter liter
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19 British System Long history of use; comfortable Problems: awkward relationships between units which must be memorized; time consuming calculations
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20 Metric System Systeme Internationale Base ten system Prefixes are constant Easily understood relationships between units; simple calculations
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21 Conversion Factors Conversion factors are composed of two numbers representing the same value ( i.e. 12 inches = 1 foot) Conversion factors have a value of one Conversion factor method allows us to shift from one unit to another ( i.e. inches to feet)
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22 Conversion Factor Method Involves cross multiplying the original unit and the conversion factor Step one: write the given number & unit Step two: set up a conversion factor - place the given unit as the denominator of the conversion factor - place desired unit as a numerator - place a “1” in front of the larger unit - determine the number of smaller units to make “1” of the larger units Step three: cancel units. Solve the problem
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23 Examples Convert 2 miles to inches 2 miles x 5 280 ft x 12 inches = 126 720 in 1 mile 1 foot 1 mile 1 foot The answer is 100 000 (in sig-figs) How many seconds are in 4 days? 4 days x 24 hours x 60 min x 60 sec = 345 600 sec 1 day 1 hour 1 min 1 day 1 hour 1 min The answer is 300 000 sec (in sig-figs)
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24 Practice: Conversion Factors 35 ml = ____ dl 950 g = ______ kg 2.5 yds = _____ in 18 pints = _____ pecks 5.5 kg = ______ lbs 27 miles = ______ km Express all answers in sig-figs
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