Transcript Scientific Notation

Agenda (CP)
 Check off and go over HW
 Lab Safety Quiz (open notes)
 Fire Evacuation Spot
 Start “Physics Activity #1”
HW Answers
17) 6 x 105
18) 2 x 10-6
19) 6.7 x 10-4
20) 3.9 x 108
21) 9.45 x 108
22) 5.28 x 10-6
HW Answers
23) 8000
24) 0.02
25) 55000
26) 0.0000892
27) 67100000
28) 0.00722
Agenda (ED)
 Safety Video / Lab Safety
 First Quiz on Friday 9/5/14
 “Lab Safety” (open note)
 The Dreaded Stairs
 White Boards
 Presentation
Scientific Notation
9/4/14
Agenda (CP)
 Go over HW
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 Math Skills and Physics
First Quiz on Friday 9/5/14
 “Lab Safety” (open note)
Scientific Notation
 #HW 17-28
Experimental Design
ALL beginning year forms due by
Friday 9/5/14
Scientific Notation
Scientific Notation
 Scientific Notation: A way to write very
large or very small numbers in a
compact way
 Use scientific notation for numbers
larger then 10,000 and smaller then
0.001
Scientific Notation
 The components of scientific notation:
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8.238 x 10-31
“8.238” is the coefficient
“x 10” is the base
“-31” is the exponent
Where the coefficient has to be a
number:
1 ≤ coefficient < 10
Scientific Notation
 The Andromeda Galaxy contains at
about 200,000,000,000 stars.
 Mass of a dust particle is
0.000000000753 kg .
Scientific Notation
 200,000,000,000 stars.
 In scientific notation is:
2 x 1011 stars
Scientific Notation
 0.000000000753 kg
 In scientific notation is:
7.53 x 10-10
Decimal Notation
 Given: 3 x 106
Is: 3000000
 Given: 2.84 x 10-7
Is: 0.000000284
HW Answers
17) 6 x 105
18) 2 x 10-6
19) 6.7 x 10-4
20) 3.9 x 108
21) 9.45 x 108
22) 5.28 x 10-6
HW Answers
23) 8000
24) 0.02
25) 55000
26) 0.0000892
27) 67100000
28) 0.00722
Rounding Calculations
8/21/13
Rounding to Sig. Figs.
 Multiplication and division of numbers
 After the calculation, round the answer
to the number that has the least
amount of sig. figs.
 Note: Addition and subtraction have
different rules
Sig. Figs. Exceptions in
Calculations
 Conversion factors (metric conversion)
 Scaling factors
 Counting number (EX: number of trials
or number of students)
 Round to sig. figs. At the END of a
calculation
Estimation vs. Measurement
What is the volume of the room?
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Estimation:
Length: 17 m
Width: 7 m
Height: 3 m
Volume = 357 m3
Volume = 400 m3
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Measurement:
Length: 14.53 m
Width: 9.56 m
Height: 2.68 m
Volume = 372.270224 m3
Volume = 372 m3
Scientific Notation (calculators)
 USE THE EXPONENT FUNCTION
 (4.8 x 10-6) / (5.134 x 10-19) =
 9.349435138 x 1012
 Displays will differ
 9.3 x 1012 (2 sig. figs.)
Scientific Notation
 When writing numbers in scientific notation
 Express numbers as 4.71 x 10-61
 4.71-61 ≠ 4.71 x 10-61
 4.71-61 = 8.83 x 10-42
 4.71E-61 = 4.71 x 10-61
Example #1
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3.0 x 4.31 = 12.93
3.0 (2 sig. figs.)
4.31 (3 sig. figs.)
Round to 2 sig. figs.
Final answer is 13
Example #2
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7000 / 13.37 = 523.5602094
7000 (1 sig. figs.)
13.87 (4 sig. figs.)
Round to 1 sig. figs.
Final answer is 500
Rest of Class
 Work on HW: #71-82 due tomorrow
 and #107-132 due Friday