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Names | SI
(Metric) Prefixes | Roman Numerals | Bases
Hierarchy
of Decimal Numbers
| Number |
Name |
How Many |
| 100 |
one hundred |
ten tens |
| 1,000 |
one thousand |
ten hundreds |
| 10,000 |
ten thousand |
ten thousands |
| 100,000 |
one hundred thousand |
one hundred thousands |
| 1,000,000 |
one million |
one thousand thousands |
Some people use a comma to mark every 3 digits. It just
keeps track of the digits and makes the numbers easier to read.
Beyond a million, the names of the numbers differ depending
where you live, and also the context. The places are grouped by thousands in countries using the "short scale"
(such as the United States, Australia and English-speaking Canada), and
by the millions in countries using the "long scale" (such as France and Germany).
For further details on usage by country, see
this article.
| Name |
Short scale |
Long scale |
| million |
1,000,000 |
1,000,000 |
| billion |
1,000,000,000 (a thousand millions) |
1,000,000,000,000 (a million millions) |
| trillion |
1 with 12 zeros |
1 with 18 zeros |
| quadrillion |
1 with 15 zeros |
1 with 24 zeros |
| quintillion |
1 with 18 zeros |
1 with 30 zeros |
| sextillion |
1 with 21 zeros |
1 with 36 zeros |
| septillion |
1 with 24 zeros |
1 with 42 zeros |
| octillion |
1 with 27 zeros |
1 with 48 zeros |
| googol |
1 with 100 zeros
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| googolplex |
1 with a googol of zeros
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Fractions
Digits to the right of the decimal point represent
the fractional part of the decimal number. Each place value has a value
that is one tenth the value to the immediate left of it.
| Number |
Name |
Fraction |
| .1 |
tenth |
1/10 |
| .01 |
hundredth |
1/100
|
| .001 |
thousandth |
1/1000
|
| .0001 |
ten thousandth |
1/10000 |
| .00001 |
hundred thousandth |
1/100000 |
Examples:
0.234 = 234/1000 (said - point 2 3 4, or 234 thousandths,
or two hundred thirty four thousandths)
4.83 = 4 83/100 (said - 4 point 8 3, or 4 and 83 hundredths)
SI
Prefixes
| Number |
Prefix |
Symbol |
| 10 1 |
deka- |
da |
| 10 2 |
hecto- |
h |
| 10 3 |
kilo- |
k |
| 10 6 |
mega- |
M |
| 10 9 |
giga- |
G |
| 10 12 |
tera- |
T |
| 10 15 |
peta- |
P |
| 10 18 |
exa- |
E |
| 10 21 |
zeta- |
Z |
| 10 24 |
yotta- |
Y |
|
| Number |
Prefix |
Symbol |
| 10 -1 |
deci- |
d |
| 10 -2 |
centi- |
c |
| 10 -3 |
milli- |
m |
| 10 -6 |
micro- |
u (greek mu) |
| 10 -9 |
nano- |
n |
| 10 -12 |
pico- |
p |
| 10 -15 |
femto- |
f |
| 10 -18 |
atto- |
a |
| 10 -21 |
zepto- |
z |
| 10 -24 |
yocto- |
y |
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Roman
Numerals
| I=1 |
|
(I with a bar is not used) |
| V=5 |
|
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V=5,000 |
| X=10 |
|
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X=10,000 |
| L=50 |
|
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L=50,000 |
| C=100 |
|
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C = 100 000 |
| D=500 |
|
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D=500,000 |
| M=1,000 |
|
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M=1,000,000 |
Roman
Numeral Calculator
Examples:
1 = I
2 = II
3 = III
4 = IV
5 = V
6 = VI
7 = VII
8 = VIII
9 = IX
10 = X
|
11 = XI
12 = XII
13 = XIII
14 = XIV
15 = XV
16 = XVI
17 = XVII
18 = XVIII
19 = XIX
20 = XX
21 = XXI
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25 = XXV
30 = XXX
40 = XL
49 = XLIX
50 = L
51 = LI
60 = LX
70 = LXX
80 = LXXX
90 = XC
99 = XCIX
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There is no zero in the roman numeral system.
The numbers are built starting from the largest number
on the left, and adding smaller numbers to the right. All the numerals
are then added together.
The exception is the subtracted numerals, if a numeral
is before a larger numeral, you subtract the first numeral from the second.
That is, IX is 10 - 1= 9.
This only works for one small numeral before one larger
numeral - for example, IIX is not 8, it is not a recognized roman numeral.
There is no place value in this system - the number III
is 3, not 111.
Number
Base Systems
|
Decimal(10)
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Binary(2)
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Ternary(3)
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Octal(8)
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Hexadecimal(16)
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0
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0
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0
|
0
|
0
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1
|
1
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1
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1
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1
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2
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10
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2
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2
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2
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3
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11
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10
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3
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3
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4
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100
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11
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4
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4
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5
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101
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12
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5
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5
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6
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110
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20
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6
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6
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7
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111
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21
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7
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7
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8
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1000
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22
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10
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8
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9
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1001
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100
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11
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9
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10
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1010
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101
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12
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A
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11
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1011
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102
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13
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B
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12
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1100
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110
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14
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C
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13
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1101
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111
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15
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D
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14
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1110
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112
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16
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E
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15
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1111
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120
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17
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F
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16
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10000
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121
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20
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10
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17
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10001
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122
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21
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11
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18
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10010
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200
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22
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12
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19
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10011
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201
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23
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13
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20
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10100
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202
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24
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14
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Each digit can only count up to the value of one less
than the base. In hexadecimal, the letters A - F are used to represent
the digits 10 - 15, so they would only use one character.
Java
Base Conversion Calculator
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