NUMBERS
Numbers are the words or symbols that we use to count
quantity. We have one (1) nose and two (2) eyes on our face. We have four (4)
fingers and one (1) thumb on each hand. There are seven (7) days in a week.
There are twelve (12) months in a year. And there are one hundred (100) years
in a century.
The symbols that we use for numbers today (0, 1, 2, 3, 4,
5, 6, 7, 8, 9) are called Arabic numerals. Another system that you sometimes
see (i, ii, v, x, l, c etc) uses Roman numerals
Cardinal Numbers
"Cardinal numbers" are ordinary numbers like 1,
2, 3. In the chart below, you can see how we make numbers from 0 to 100 and
then some units above that.
The numbers from 13 (thirteen) to 19 (nineteen) all end in -teen
and are called "the teens". This is why people from thirteen to
nineteen years of age are called "teenagers".
Arabic numeral
|
word
|
0
|
zero, nought
|
1
|
one
|
2
|
two
|
3
|
three
|
4
|
four
|
5
|
five
|
6
|
six
|
7
|
seven
|
8
|
eight
|
9
|
nine
|
10
|
ten
|
11
|
eleven
|
12
|
twelve
|
13
|
thirteen
|
14
|
fourteen
|
15
|
fifteen
|
16
|
sixteen
|
17
|
seventeen
|
18
|
eighteen
|
19
|
nineteen
|
20
|
twenty
|
21
|
twenty-one
|
22
|
twenty-two
|
23
|
twenty-three
|
24
|
twenty-four
|
30
|
thirty
|
31
|
thirty-one
|
40
|
forty
|
50
|
fifty
|
60
|
sixty
|
70
|
seventy
|
80
|
eighty
|
90
|
ninety
|
100
|
hundred
|
101
|
hundred and one
|
152
|
hundred and fifty-two
|
200
|
two hundred
|
1,000
|
thousand
|
1,000,000
|
million
|
1,000,000,000
|
billion
|
1,000,000,000,000
|
trillion
|
For numbers in the hundreds, the British usually say
"and" but the Americans often do not say "and":
- British
English: 120 = one hundred and twenty
- American
English: 120 = one hundred twenty
- Decimal
Numbers
- We
can describe numbers smaller than one by using fractions
or decimals. Today, the decimal system is more common than fractions.
- To
indicate a decimal number we use a point (.) and this includes money such
as dollars and cents.
- Look
at these decimal examples:
We write:
|
We say:
|
0.3
|
nought point three
zero point three |
3.45
|
three point four five
(NOT three point forty-five) |
98.4
|
ninety-eight point four
|
$1.55
|
one dollar, fifty-five cents
one dollar, fifty-five |
$700.00
|
seven hundred dollars
|
€3,500.50
|
three thousand five hundred euro and fifty cents
three thousand five hundred euro, fifty cents |
- Remember
that we use commas to separate thousands.
Be careful with commas and points. Some languages use them in the opposite
way!
Thousands
In English, when we write numerals
or digits, we separate thousands with a comma (,) as in this example: 5,300,000
We count 3 digits from the right
and insert a comma, like this:
1,000
|
(one thousand)
|
4,500
|
(four thousand, five hundred)
|
96,000
|
(ninety-six thousand)
|
450,000
|
(four hundred and fifty thousand)
|
$6,300,000
|
(six million, three hundred thousand dollars)
|
- We do NOT use a point (.) to separate thousands.
- We do NOT use a space ( ) to separate
thousands.
- There is NO space before or after the comma.
Be careful with commas and points.
Some languages use them in the opposite way!
Fractions
We can describe numbers smaller than one by using decimals
or fractions. Today, most systems use decimals, but it is still useful to know
how to read and say simple fractions in English.
Look at these examples of fractions:
We write:
|
We say:
|
½
|
a half OR one half
|
¼
|
a quarter OR one quarter
|
¾
|
three quarters
|
⅓
|
a third OR one third
|
⅔
|
two thirds
|
⅕
|
a fifth OR one fifth
|
⅗
|
three fifths
|
⅛
|
an eighth OR one eighth
|
⅝
|
five eighths
|
1½
|
one and a half
|
5¾
|
five and three quarters
|
Although the system of fractions is not used much these
days, we commonly use a few simple fractions in everyday speech, for example:
- They
phoned half an hour ago.
- Hurry
up! The bus leaves in a quarter of an hour.
- The
police station is about three quarters of a mile past the traffic lights.
Note that after "one and a half", the noun is
plural:
- Go
straight on for one and a half kilometres. (OR ...one kilometre and a
half)
- We
had to wait for one and a half hours. (OR ...an hour and a half)
- Ordinal
Numbers
- We
use ordinal numbers to talk about the "order" of things or to
define a thing's position in a series.
- Note
that after the numeral or digit, we write the last two letters of the
word. For example, we take the last two letters of first and add them to
the digit 1 to make 1st.
first
|
1st
|
second
|
2nd
|
third
|
3rd
|
fourth
|
4th
|
fifth
|
5th
|
sixth
|
6th
|
seventh
|
7th
|
eighth
|
8th
|
ninth
|
9th
|
tenth
|
10th
|
eleventh
|
11th
|
twelfth
|
12th
|
thirteenth
|
13th
|
fourteenth
|
14th
|
fifteenth
|
15th
|
sixteenth
|
16th
|
seventeenth
|
17th
|
eighteenth
|
18th
|
nineteenth
|
19th
|
twentieth
|
20th
|
twenty-first
|
21st
|
twenty-second
|
22nd
|
twenty-third
|
23rd
|
twenty-fourth
|
24th
|
thirtieth
|
30th
|
thirty-first
|
31st
|
fortieth
|
40th
|
fiftieth
|
50th
|
sixtieth
|
60th
|
seventieth
|
70th
|
eightieth
|
80th
|
ninetieth
|
90th
|
hundredth
|
100th
|
hundred and first
|
101st
|
hundred and fifty-second
|
152nd
|
two hundredth
|
200th
|
thousandth
|
1,000th
|
millionth
|
1,000,000th
|
billionth
|
1,000,000,000th
|
trillionth
|
1,000,000,000,000th
|
Roman Numerals
The numbers that we normally use (1, 2, 3 etc) are called "Arabic
numerals". But we sometimes use another system for writing numbers -
"Roman numerals". The Romans used letters of the alphabet to
represent numbers, and you will occasionally see this system used for page
numbers, clock faces, dates of movies etc.
The letters used in Roman numerals are:
- I =
1
- V =
5
- X =
10
- L =
50
- C =
100
- D =
50
- M =
1000
We can use upper-case letters (capitals) or lower-case
letters (small letters) when writing Roman numerals. So the following numbers
are exactly the same: XVIII = xviii = 18
In general, letters are placed in decreasing order of
value, eg XVI = 16. Letters can be repeated one or two times to increase value,
eg XX = 20, XXX = 30. Letters cannot be repeated three times, so XXXX is not
used for 40. In this case, XL = 40 (50 minus 10).
Significant Roman numerals from one to a thousand
Roman Numerals
|
Arabic
Numerals |
|
upper-case
|
lower-case
|
|
I
|
i
|
1
|
II
|
ii
|
2
|
III
|
iii
|
3
|
IV
|
iv
|
4
|
V
|
v
|
5
|
VI
|
vi
|
6
|
VII
|
vii
|
7
|
VIII
|
viii
|
8
|
IX
|
ix
|
9
|
X
|
x
|
10
|
XI
|
xi
|
11
|
XII
|
xii
|
12
|
XIII
|
xiii
|
13
|
XIV
|
xiv
|
14
|
XV
|
xv
|
15
|
XVI
|
xvi
|
16
|
XVII
|
xvii
|
17
|
XVIII
|
xviii
|
18
|
XIX
|
xix
|
19
|
XX
|
xx
|
20
|
XXI
|
xxi
|
21
|
XXII
|
xxii
|
22
|
XXIII
|
xxiii
|
23
|
XXX
|
xxx
|
30
|
XL
|
xl
|
40
|
L
|
l
|
50
|
LX
|
lx
|
60
|
LXX
|
lxx
|
70
|
LXXX
|
lxxx
|
80
|
XC
|
xc
|
90
|
C
|
c
|
100
|
CC
|
cc
|
200
|
CCC
|
ccc
|
300
|
CD
|
cd
|
400
|
D
|
d
|
500
|
M
|
m
|
1000
|
.
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