Tuesday 7 May 2013

NUMBERS


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
a third OR one third
two thirds
a fifth OR one fifth
three fifths
an eighth OR one eighth
five eighths
one and a half
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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