objective/warm-up students will be able to distinguish between accuracy and precision. students will...
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OBJECTIVE/WARM-UP
• Students will be able to distinguish between accuracy and precision.
• Students will be able to use scientific notation.
• How many sig figs in each number?• 3.400• 0.00304• 0.34090• 0.0030• 4500
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NOTES-ACCURACY
Word/Phrase: Definition:
Hints or diagram: Meaning in My own words:
accuracy How close the measurement is to the real, true, orcorrect value
correctness
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NOTES-PRECISION
Word/Phrase: Definition:
Hints or diagram: Meaning in My own words:
precision How close measurementsare to each other
repeatable
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On the TV show “The Biggest Loser”, weight loss is reported in whole pounds, but percentage weight loss is given with two decimal places. For example, if a 210 lb. person lost 4 pounds, the percent weight loss is reported as 1.90% weight loss. Write a letter to the producers of the show to explain how this is unfair and not correct precision in reporting the percentage weight loss. Suggest a way to correct this for future shows.
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Scientific Notation
A short-hand way of writinglarge numbers without writing all of the zeros.
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The Distance From the Sun to the Earth
93,000,000
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Large Numbers
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Step 1
Move decimal left
Leave only one number in front of decimal
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Step 2
Write number without zeros
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Step 3
Count how many places you moved decimal
Make that your power of ten
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The power often is 7 becausethe decimalmoved 7 places.
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93,000,000 --- Standard Form
9.3 x 107 --- Scientific Notation
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Practice Problem
1) 98,500,000 = 9.85 x 10?
2) 64,100,000,000 = 6.41 x 10?
3) 279,000,000 = 2.79 x 10?
4) 4,200,000 = 4.2 x 10?
Write in scientific notation. Decide the power of ten.
9.85 x 107
6.41 x 1010
2.79 x 108
4.2 x 106
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More Practice Problems
1) 734,000,000 = ______ x 108
2) 870,000,000,000 = ______x 1011
3) 90,000,000,000 = _____ x 1010
On these, decide where the decimal will be moved.
1) 7.34 x 108 2) 8.7 x 1011 3) 9 x 1010
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Complete Practice Problems
1) 50,000
2) 7,200,000
3) 802,000,000,000
Write in scientific notation.
1) 5 x 104 2) 7.2 x 106 3) 8.02 x 1011
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Scientific Notation to Standard Form
Move the decimal to the right
3.4 x 105 in scientific notation
340,000 in standard form
3.40000 --- move the decimal
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Write in Standard Form
6.27 x 106
9.01 x 104
6,270,000
90,100
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Small Numbers
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Step 1
Move decimal right
Leave only one number in front of decimal
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Step 2
Write number without zeros
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Step 3
Count how many places you moved decimal
Make that your power of ten
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The power often is -4 becausethe decimalmoved 4 places.
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0.000324 --- Standard Form
3.24 x 10-4 --- Scientific Notation
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Practice Problem
1) 0.000000985 = 9.85 x 10?
2) 0.641 = 6.41 x 10?
3) 2.79 = 2.79 x 10?
4) 0.042 = 4.2 x 10?
Write in scientific notation. Decide the power of ten.
9.85 x 10-7
6.41 x 10-1
2.79 x 100
4.2 x 10-2
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Complete Practice Problems
1) 0.005
2) 0.000072
3) 0.000802
Write in scientific notation.
1) 5 x 10-3 2) 7.2 x 10-5 3) 8.02 x 10-4
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Scientific Notation to Standard Form
Move the decimal to the left
3.4 x 10-5 in scientific notation
0.000034 in standard form
000034 --- move the decimal
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Write in Standard Form
6.27 x 10-6
9.01 x 10-4
0.00000627
0.000901
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Scientific Notation ExamplesChange from scientific notationa) the distance from Pluto to the Sun is 5.9×10 12 metersb) the Milky Way disk radius is 3.9×1020 meters.c) The speed of light is 3 x 10 8 meters/second.d) the sun is 1.5x 1011 meters from earthe) Mass of proton : 1.6726 x 10-27 kgf) Mass of neutron: 1.6749 x 10-27 kgg) Mass of electron: 9.10939 × 10-31 kg Change into scientific notationh) 0.000 000 000 753 kg. is the mass of a dust particle! i) A proton has a diameter of approximately
0.000000000001 mm
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Quick Review
When adding or subtracting:Make sure the exponents are the same
and line up the decimal points.
When multiplying:Add the exponents
When dividing:Subtract the exponents