| Basic
Math |
Numerical Prefixes |
A
curious set of unusual words are adjectives
and nouns that reflect numerical values or multiples.
What do you call a group of eleven musicians?
An athletic competition with six events? An
event that recurs every twenty years? It can
be very difficult to figure out what sort of
prefix to use, and there are plenty of exceptions
to the rules. Because many of these words aren't
found in many dictionaries (particularly as
the relevant number gets larger), having some
general principles can help.
Here
are the basics:
| Prefix |
Prefix
meaning |
Sample
words |
| uni- |
1 |
unicorn:
mythical creature with one horn |
| mono- |
1 |
monorail:
train that runs on one track |
| bi- |
2 |
bicycle:
two-wheeled vehicle |
| tri- |
3 |
triceratops:
three-horned dinosaur |
| quadr- |
4 |
quadruped:
four-footed animal |
| quint- |
5 |
quintuplets:
five babies born at a single birth |
| penta- |
5 |
pentagon:
figure with five sides |
| hex- |
6 |
hexapod:
having six legs, an insect, for example |
| sex- |
6 |
sextet:
group of six musicians |
| hept- |
7 |
heptathlon:
athletic contest with seven events |
| sept- |
7 |
septuplets:
seven babies at a single birth |
| octo- |
8 |
octopus:
sea creature with eight arms |
| novem- |
9 |
novena:
prayers said over nine days |
| deka-
or deca- |
10 |
decade:
a period of 10 years |
| cent- |
hundred |
century:
a period of 100 years |
| hecto- |
hundred |
hectogram:
100 grams |
| milli- |
thousand |
millennium:
a period of 1,000 years |
| kilo- |
thousand |
kilogram:
1,000 grams |
| mega- |
million |
megaton:
one million tons |
| giga- |
billion |
gigabyte:
one billion bytes |
source:
http://www.factmonster.com |
| Latin-Prefixed Numerical Words |
|
Numeral |
Prefix |
Base |
Relation |
Music |
Multiple |
Yearly |
Sides |
1 |
unus |
uni |
N/A |
unary |
(solo) |
(single) |
(annual) |
unilateral |
2 |
duo |
bi/duo |
binal |
binary |
duet |
duple/double |
biennial |
bilateral |
3 |
tres, tria |
tri |
trial, tertial |
trinary, ternary |
trio |
triple/treble |
triennial |
trilateral |
4 |
quattuor |
quadri/quart |
quartal |
quaternary |
quartet |
quadruple |
quadriennial |
quadrilateral |
5 |
quinque |
quinque/quint |
quintal |
quinary, quinquenary |
quintet |
quintuple |
quinquennial |
quinquelateral |
6 |
sex |
sex(t), se |
sextal |
senary, sexenary |
sextet |
sextuple |
sexennial |
*sexilateral |
7 |
septem |
sep(t) |
septimal |
septenary |
septet |
septuple |
septennial |
septilateral |
8 |
octo |
oct |
octal, octaval |
octonary |
octet |
octuple |
octennial |
octilateral |
9 |
novem |
nonus/novem |
nonal |
nonary |
nonet |
nonuple, noncuple |
novennial |
*nonilateral |
10 |
decem |
dec(a), de |
decimal |
denary |
dectet |
decuple |
decennial |
*decilateral |
11 |
undecim |
undec, unde |
undecimal |
undenary |
*undectet |
*undecuple |
undecennial |
*undecilateral |
12 |
duodecim |
duodec, duode |
duodecimal |
duodenary |
*duodectet |
duodecuple |
duodecennial |
*duodecilateral |
|
| Prime Numbers |
A
number is called prime if its only factors are one
and itself.
A prime number has only two factors: 1 and
itself.
A composite number has more than two factors.
The number 1 is neither prime nor composite. |
Many
numbers can be made by multiplying smaller numbers
together. For example -
3 x 7 = 21
- 3 and 7 are called factors of 21. But some numbers
cannot be made in this way and these are called prime
numbers. For example, 23 is a prime number because
it cannot be made by multiplying together smaller
numbers. Numbers like 21 which are not prime are sometimes
called composite numbers.
All
prime numbers, apart from 2, are odd numbers.
The
first twelve prime numbers are - 2, 3, 5, 7, 11, 13,
17, 19, 23, 29, 31, 37
What
is the largest prime number?
|
| Multiplication Tables |
× |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
2 |
0 |
2 |
4 |
6 |
8 |
10 |
12 |
14 |
16 |
18 |
20 |
22 |
24 |
26 |
28 |
30 |
3 |
0 |
3 |
6 |
9 |
12 |
15 |
18 |
21 |
24 |
27 |
30 |
33 |
36 |
39 |
42 |
45 |
4 |
0 |
4 |
8 |
12 |
16 |
20 |
24 |
28 |
32 |
36 |
40 |
44 |
48 |
52 |
56 |
60 |
5 |
0 |
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
50 |
55 |
60 |
65 |
70 |
75 |
6 |
0 |
6 |
12 |
18 |
24 |
30 |
36 |
42 |
48 |
54 |
60 |
66 |
72 |
78 |
84 |
90 |
7 |
0 |
7 |
14 |
21 |
28 |
35 |
42 |
49 |
56 |
63 |
70 |
77 |
84 |
91 |
98 |
105 |
8 |
0 |
8 |
16 |
24 |
32 |
40 |
48 |
56 |
64 |
72 |
80 |
88 |
96 |
104 |
112 |
120 |
9 |
0 |
9 |
18 |
27 |
36 |
45 |
54 |
63 |
72 |
81 |
90 |
99 |
108 |
117 |
126 |
135 |
10 |
0 |
10 |
20 |
30 |
40 |
50 |
60 |
70 |
80 |
90 |
100 |
110 |
120 |
130 |
140 |
150 |
11 |
0 |
11 |
22 |
33 |
44 |
55 |
66 |
77 |
88 |
99 |
110 |
121 |
132 |
143 |
154 |
165 |
12 |
0 |
12 |
24 |
36 |
48 |
60 |
72 |
84 |
96 |
108 |
120 |
132 |
144 |
156 |
168 |
180 |
13 |
0 |
13 |
26 |
39 |
52 |
65 |
78 |
91 |
104 |
117 |
130 |
143 |
156 |
169 |
182 |
195 |
14 |
0 |
14 |
28 |
42 |
56 |
70 |
84 |
98 |
112 |
126 |
140 |
154 |
168 |
182 |
196 |
210 |
15 |
0 |
15 |
30 |
45 |
60 |
75 |
90 |
105 |
120 |
135 |
150 |
165 |
180 |
195 |
210 |
225 |
|
| Roman Numerals |
| The
Romans were active in trade and commerce, and from
the time of learning to write they needed a way to
indicate numbers. The system they developed lasted
many centuries, and still sees some specialized use
today.
Roman
numerals traditionally indicate the order of rulers
or ships who share the same name (i.e. Queen Elizabeth
II). They are also sometimes still used in the publishing
industry for copyright dates, and on cornerstones
and gravestones when the owner of a building or the
family of the deceased wishes to create an impression
of classical dignity. The Roman numbering system also
lives on in our languages, which still use Latin word
roots to express numerical ideas. A few examples:
unilateral, duo, quadricep, septuagenarian, decade,
milliliter.
The
big differences between Roman and Arabic numerals
(the ones we use today) are that Romans didn't have
a symbol for zero, and that numeral placement within
a number can sometimes indicate subtraction rather
than addition.
Here
are the basics: |
| I |
The
easiest way to note down a number is to make that
many marks - little I's. Thus I means 1, II means
2, III means 3. However, four strokes seemed like
too many.... |
| V |
So
the Romans moved on to the symbol for 5 - V. Placing
I in front of the V - or placing any smaller number
in front of any larger number - indicates subtraction.
So IV means 4. After V comes a series of additions
- VI means 6, VII means 7, VIII means 8. |
| X |
X
means 10. But wait - what about 9? Same deal.
IX means to subtract I from X, leaving 9. Numbers
in the teens, twenties and thirties follow the
same form as the first set, only with X's indicating
the number of tens. So XXXI is 31, and XXIV is
24. |
| L |
L
means 50. Based on what you've learned, I bet
you can figure out what 40 is. If you guessed
XL, you're right = 10 subtracted from 50. And
thus 60, 70, and 80 are LX, LXX and LXXX. |
| C |
C
stands for centum, the Latin word for 100.
A centurion led 100 men. We still use this
in words like "century" and "cent." The subtraction
rule means 90 is written as XC. Like the X's and
L's, the C's are tacked on to the beginning of
numbers to indicate how many hundreds there are:
CCCLXIX is 369. |
| D |
D
stands for 500. As you can probably guess by this
time, CD means 400. So CDXLVIII is 448. (See why
we switched systems?) |
| M |
M
is 1,000. You see a lot of Ms because Roman numerals
are used a lot to indicate dates. |
| V |
Larger
numbers were indicated by putting a horizontal
line over them, which meant to multiply the number
by 1,000. Hence the V at left has a line over
the top, which means 5,000. This usage is no longer
current, because the largest numbers usually expressed
in the Roman system are dates, as discussed above. |
|
| Roman
Numeral Table |
| 1 |
I |
14 |
XIV |
27 |
XXVII |
150 |
CL |
| 2 |
II |
15 |
XV |
28 |
XXVIII |
200 |
CC |
| 3 |
III |
16 |
XVI |
29 |
XXIX |
300 |
CCC |
| 4 |
IV |
17 |
XVII |
30 |
XXX |
400 |
CD |
| 5 |
V |
18 |
XVIII |
31 |
XXXI |
500 |
D |
| 6 |
VI |
19 |
XIX |
40 |
XL |
600 |
DC |
| 7 |
VII |
20 |
XX |
50 |
L |
700 |
DCC |
| 8 |
VIII |
21 |
XXI |
60 |
LX |
800 |
DCCC |
| 9 |
IX |
22 |
XXII |
70 |
LXX |
900 |
CM |
| 10 |
X |
23 |
XXIII |
80 |
LXXX |
1000 |
M |
| 11 |
XI |
24 |
XXIV |
90 |
XC |
1600 |
MDC |
| 12 |
XII |
25 |
XV |
100 |
C |
1700 |
MDCC |
| 13 |
XIII |
26 |
XVI |
101 |
CI |
1900 |
MCM |
Check
out the Roman Numeral Conversion Tables below:
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