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Basic Mathematical Concepts

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The logarithm of a number is the exponent to which 10 must be raised to equal ... The antilogarithm of a number is the value that results when 10 is raised by ... – PowerPoint PPT presentation

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Title: Basic Mathematical Concepts


1
Basic Mathematical Concepts
  • a.k.a. Math 001

2
Basic Math Concepts Converting
Metrics
Kilo- 103 (k) Base Centi- 10-2 (c) Milli- 10-3
(m) Micro- 10-6 (m)
KHDBDCM
1
0
0
0
meter
Examples
1 meter ? millimeters (mm)
1000 mm
3
Basic Math Concepts Converting
Metrics
Kilo- 103 (k) Base Centi- 10-2 (c) Milli- 10-3
(m) Micro- 10-6 (m)
KHDBDCM
1
5
6
.
Examples
156 milligrams ? grams
0.156 g
4
Basic Math Concepts Converting
Metrics
Kilo- 103 (k) Base Centi- 10-2 (c) Milli- 10-3
(m) Micro- 10-6 (m)
KHDBDCM
1
5
0
.
0
0
0
0
Examples
1500 msec ? ms ? sec
1.5 ms
0.0015 sec
5
Basic Math Concepts logarithms
The logarithm of a number is the exponent to
which 10 must be raised to equal that
number. e.g. log 100 2, because 100 102
6
Basic Math Concepts logarithms
  • Logarithmic Identities
  • log ab log a log b
  • log a/b log a log b
  • log ab b log a
  • log 1/a log a

1.00
0.96
0.90
0.85
0.78
0.70
log 4 log (2x2)
0.60
log 2 log 2
0.48
0.30 0.30
0.30
0.60
0.00
Must memorize Can calculate
7
Basic Math Concepts antilogs
The antilogarithm of a number is the value that
results when 10 is raised by that number (becomes
the exponent). e.g. antilog 2 100, because 102
100
8
Basic Math Concepts Trigonometry
degrees vs. radians
hypotenuse
opposite
angle
adjacent
sohcahtoa
9
Basic Math Concepts Trigonometry
hypotenuse
opposite
40o
adjacent
sohcahtoa
10
Basic Math Concepts Trigonometry
hypotenuse
opposite
40o
adjacent
sohcahtoa
11
Basic Math Concepts Trigonometry
hypotenuse
opposite
40o
adjacent
sohcahtoa
12
Basic Math Concepts Trigonometry
o 0.64
h 1
o
40o
a
a 0.77
sohcahtoa
13
Basic Math Concepts Trigonometry
o 10.88
h 17
o
40o
a
a 13.09
sohcahtoa
14
Basic Math Concepts Trigonometry
h 1
o 0.87
60o
z
sohcahtoa
a 0.5
15
Basic Math Concepts Exponents
16
Basic Math Concepts Exponents


9 x 105


17
Basic Math Concepts Exponents
18
Basic Math Concepts Exponents
19
Basic Math Concepts Exponents
2 x 107
20
Basic Math Concepts Exponents
21
Basic Math Concepts Exponents
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