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Units 1: Introduction to Chemistry
Chapter 3.1 Pages 63-72
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What clothes would you wear to school if the temperature was 22 degrees?
If I told you I weighed 120 am I overweight?
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Measurement Measurement is both a number and a unit.
The measurements we use in science is of the International system of measurements (SI)
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Measurement To deal w/ very large and very small numbers we use scientific notation or X 1023
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Measurement A number in scientific notation has 2 parts
The coefficient which is b/w 1 and 10 The exponent: (X 10n) n= the number of times you move the decimal/ the number of times you multiply the new number
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Measurement Lets put 125 into Scientific notation;
1. Place a decimal in the number to make it a number b/w 1 and 10 125. 1.25
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Measurement 2. How many places did you move the decimal? 125. 1.25 2
125. 1.25 2 -3. Now place the number 2 as the exponent
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Measurement 4. If the original number was greater than 1 the exponent is +, if the original number is less than 1 (.00125) than the exponent is -.
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Measurement So…. 125. 1.25 X 102 Try 87.073 8.7073 X 101
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Measurement Now try the other direction 1.00 X 105
105 = so multiply 1.00 X or move the decimal 5 places. The 5 is positive so make the number bigger. =
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Measurement Try these on the mini boards 4 X 102 400 5 X 10-6
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Measurement When multiplying exponents you add the exponent
When dividing you subtract the exponent 2.865 X 104 X 1.47 X 103 = 4.21 X107
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Significant Figures Accuracy: How close a measurement comes to the actual true value Precision: How close the measurements are to one another
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Significant Figures Sig figs are the amount of decimal places that are in a number in order to make the number accurate and precise.
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Significant Figures Measurements must be precise and accurate
All instruments have a specific # of sig fig. Be sure to read to the correct # of sig figs
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Significant Figures To read the correct # of sig figs you must record all the numbers you can read from the instrument plus one additional number that is estimated.
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How would you read these rulers. Which is more precise
How would you read these rulers? Which is more precise? Use the mini board Which ruler is more uncertain?
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Significant Figures Rules for sig figs
1. Nonzero integers = always significant
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1247 = 4 sig figs 23896 = 5 sig figs 5.264 =
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Significant Figures 2. Zeros: 3 classes
Leading zeros (zeros before nonzero digits – – 4 leading zeros) are never significant just place holders – 2 sig figs – 3 sig figs
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Significant Figures Captive zeros (zeros b/w nonzero digits – – 4 captive zeros) are always significant – 6 sig figs sig figs
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Significant Figures Trailing zeros (zeros at the end of # – 2 trailing zeros) significant only if # has a decimal. 1100 – 2 sig figs 1100. – 4 sig figs – 5 sig figs
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Significant Figures Exact #: # not obtained through measurements have unlimited sig figs 3 pies 22 students 1” =2.54 cm (given)
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Rounding Last # less than 5 - # prior stays the same
1.24 = 1.2 Last # equal to or greater than 5 - # prior increases 1.25 =1.3 5467 = 5470
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Calculations w/ Sig figs
Adding/Subtracting: Add or subtract and record the least number of decimal places = = true answer
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Calculations w/ Sig figs
Multiplying/Dividing – multiply or divide and record the least # of sig figs 2.35 X 2.5 = 5.9 is true answer. 2 sig figs is the limiting term.
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