Daves_Math_Tables.pdf

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Dave's Math Tables
Questions & Comments
http://www.sisweb.com/math/questions.htm
Dave's Math Tables:
Questions & Comments
(Math | Questions & Comments)
If you have a math question, there are a number of
routes you may take:
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people to help in answering math
questions. Please see
How to Help.
(1)
Post your question on this site's
Math Message
Board.
This is a web-based newsgroup (discussion
group) for math talk, question, and answers. There are sections for algebra, trig, geometry,
calculus, elementary math, and general discussions.
(2)
Send your question to
Ask Dr. Math.
This is a highly-popular, high-quality math question
answering site run by Swarthmore College as part of the Math Forum.
(3)
I am currently very busy, so I can not personally respond to math problems and questions;
please use the above
Math Message Board
instead, where a number of qualified
mathematicians, teachers, and students will be able to take your questions. If you do, though,
have technical questions with regards to this site or need to reach me, the following methods are
available:
(A) Type your question/comment here. You
must
include your e-mail if you desire a
response.
SendComments
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Number Notation
http://www.sisweb.com/math/general/numnotation.htm
Dave's Math Tables:
Number Notation
(Math |
General
|
NumberNotation)
Hierarchy of Numbers
0(zero) 1(one) 2(two)
3(three) 4(four)
5(five) 6(six) 7(seven) 8(eight) 9(nine)
10^1(ten) 10^2(hundred) 10^3(thousand)
name
American-French English-German
million
10^6
10^6
billion
10^9
10^12
trillion
10^12
10^18
quadrillion
10^15
10^24
quintillion
10^18
10^30
sextillion
10^21
10^36
septillion
10^24
10^42
octillion
10^27
10^48
nonillion
10^30
10^54
decillion
10^33
10^60
undecillion
10^36
10^66
duodecillion
10^39
10^72
tredecillion
10^42
10^78
quatuordecillion 10^45
10^84
quindecillion
10^48
10^90
sexdecillion
10^51
10^96
septendecillion 10^54
10^102
octodecillion
10^57
10^108
novemdecillion
10^60
10^114
vigintillion
10^63
10^120
----------------------------------------
googol
10^100
googolplex
10^googol = 10^(10^100)
----------------------------------------
SI Prefixes
Number Prefix Symbol
10
1
10
2
10
3
10
6
10
9
10
12
10
15
10
18
10
21
10
24
deka- da
hecto- h
kilo-
k
Number Prefix Symbol
10
-1
10
-2
10
-3
10
-6
10
-9
10
-12
10
-15
10
-18
10
-21
10
-24
deci-
d
centi- c
milli- m
micro- u (greek mu)
nano- n
pico- p
femto- f
atto-
a
mega- M
giga- G
tera-
T
peta- P
exa-
zeta-
E
Z
zepto- z
yocto- y
yotta- Y
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Number Notation
http://www.sisweb.com/math/general/numnotation.htm
Roman Numerals
I=1 V=5
X=10
L=50
C=100
D=500
M=1 000
_
_
_
_
_
_
V=5 000 X=10 000 L=50 000 C = 100 000 D=500 000 M=1 000 000
Examples:
1 = I
2 = II
3 = III
4 = IV
5 = V
6 = VI
7 = VII
8 = VIII
9 = IX
10 = X
11
12
13
14
15
16
17
18
19
20
21
=
=
=
=
=
=
=
=
=
=
=
XI
XII
XIII
XIV
XV
XVI
XVII
XVIII
XIX
XX
XXI
25
30
40
49
50
51
60
70
80
90
99
=
=
=
=
=
=
=
=
=
=
=
XXV
XXX
XL
XLIX
L
LI
LX
LXX
LXXX
XC
XCIX
Number Base Systems
decimal binary ternary oct hex
0
0
0
0
0
1
1
1
1
1
2
10
2
2
2
3
11
10
3
3
4
100
11
4
4
5
101
12
5
5
6
110
20
6
6
7
111
21
7
7
8
1000
22 10
8
9
1001
100 11
9
10
1010
101 12
A
11
1011
102 13
B
12
1100
110 14
C
13
1101
111 15
D
14
1110
112 16
E
15
1111
120 17
F
16 10000
121 20 10
17 10001
122 21 11
18 10010
200 22 12
19 10011
201 23 13
20 10100
202 24 14
Java Base Conversion Calculator
(This converts non-integer values & negative bases too!)
(For Microsoft 2+/Netscape 2+/Javascript web browsers only)
from base
10
calculate
to base
16
100
value to convert
256
Caution: due to CPU restrictions, some rounding has been known to occur for numbers spanning greater
than 12 base10 digits, 13 hexadecimal digits or 52 binary digits. Just like a regular calculator, rounding
can occur.
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8/10/98 5:01 PM
Weights and Measures
http://www.sisweb.com/math/general/measures/lengths.htm
Dave's Math Tables:
Weights and Measures
(Math |
General
|
Weights and Measures
| Lengths)
Unit Conversion Tables for Lengths & Distances
A note on the metric system:
Before you use this table, convert to the base measurement first, in that convert centi-meters to
meters, convert kilo-grams to grams. In this way, I don't have to list every imaginable
combination of metric units.
The notation 1.23E
+ 4
stands for 1.23 x 10
+4
= 0.000123.
from
\
to
= __ feet
= __ inches = __ meters = __ miles
12
0.3048
0.0254
(1/5280)
(1/63360)
= __ yards
(1/3)
(1/36)
foot
inch
meter
mile
yard
(1/12)
3.280839... 39.37007...
5280
3
63360
36
1609.344
0.9144
6.213711...E
- 4
1.093613...
1760
(1/1760)
To use: Find the unit to convert
from
in the left column, and multiply it by the expression under
the unit to convert
to.
Examples: foot = 12 inches; 2 feet = 2x12 inches.
Useful Exact Length Relationships
mile = 1760 yards = 5280 feet
yard = 3 feet = 36 inches
foot = 12 inches
inch = 2.54 centimeters
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