English
numerals
Cardinal numbers refer to the size of a group.
0
|
|
|
|
|
|
1
|
11
|
10
|
|||
2
|
12
|
20
|
|||
3
|
13
|
30
|
|||
4
|
14
|
40
|
forty (no "u")
|
||
5
|
15
|
fifteen (note "f", not "v")
|
50
|
fifty (note "f", not "v")
|
|
6
|
16
|
60
|
|||
7
|
17
|
70
|
|||
8
|
18
|
eighteen (only one "t")
|
80
|
eighty (only one "t")
|
|
9
|
19
|
90
|
ninety (note the "e")
|
21
|
|
25
|
|
32
|
|
58
|
|
64
|
|
79
|
|
83
|
|
99
|
In
English, the hundreds are
perfectly regular, except that the word hundred remains in its singular
form regardless of the number preceding it (nevertheless, one may on the other
hand say "hundreds of people flew in", or the like)
100
|
|
200
|
|
…
|
…
|
900
|
So too
are the thousands, with the number of thousands followed by the word
"thousand"
1,000
|
|
2,000
|
|
…
|
…
|
10,000
|
|
11,000
|
eleven
thousand
|
…
|
…
|
20,000
|
twenty
thousand
|
21,000
|
twenty-one
thousand
|
30,000
|
thirty
thousand
|
85,000
|
eighty-five
thousand
|
100,000
|
|
999,000
|
nine hundred and ninety-nine thousand (British
English)
nine hundred ninety-nine thousand (American English) |
1,000,000
|
|
10,000,000
|
In
American usage, four-digit numbers with non-zero hundreds are often named using
multiples of "hundred" and combined with tens and ones: "One
thousand one", "Eleven hundred three", "Twelve hundred
twenty-five", "Four thousand forty-two", or "Ninety-nine
hundred ninety-nine." In British usage, this style is common for multiples
of 100 between 1,000 and 2,000 (e.g. 1,500 as "fifteen hundred") but
not for higher numbers.
Americans may pronounce four-digit numbers with non-zero tens and ones as pairs of two-digit numbers without saying "hundred" and inserting "oh" for zero tens: "twenty-six fifty-nine" or "forty-one oh five". This usage probably evolved from the distinctive usage for years; 'nineteen-eighty-one'. It is avoided for numbers less than 2500 if the context may mean confusion with time of day: "ten ten" or "twelve oh four."
Intermediate numbers are read differently depending on their use. Their typical naming occurs when the numbers are used for counting. Another way is for when they are used as labels. The second column method is used much more often in American English than British English. The third column is used in British English, but rarely in American English (although the use of the second and third columns is not necessarily directly interchangeable between the two regional variants). In other words, the British dialect can seemingly adopt the American way of counting, but it is specific to the situation (in this example, bus numbers).
Note: When writing a
cheque (or check), the number 100 is always
written "one hundred". It is never "a hundred".
Note that in American English, many students are taught not to use the word and anywhere in the whole part of a number, so it is not used before the tens and ones. It is instead used as a verbal delimiter when dealing with compound numbers. Thus, instead of "three hundred and seventy-three", one would say "three hundred seventy-three". For details, see American and British English differences.
For numbers above a million, there are two different systems for naming numbers in English (for the use of suffixes such as kilo- for a thousand, mega- for a million, milli- for a thousandth, etc. see SI units):
The
numbers past a trillion, in ascending powers of ten, are as follows:
quadrillion, quintillion, sextillion, septillion, octillion, nonillion,
decillion, undecillion, duodecillion, tredecillion, quattuordecillion, and
quindecillion (that's 10 to the 48th, or a one followed by 48 zeros) The
highest number listed on Robert Munafo's table, is a milli-millillion. That's
10 to the 3000003rd.
The googolplex has often been nominated as the largest named number in the world. If a googol is ten to the one hundredth, then a googolplex is one followed by a googol of zeroes. .[1]
Although British English has traditionally followed the long-scale numbering system, the short-scale usage has become increasingly common in recent years. For example, the UK Government and BBC websites use the newer short-scale values exclusively.
Here are some approximate composite large numbers in American English:
Often,
large numbers are written with (preferably non-breaking) half-spaces
or thin spaces separating the thousands (and, sometimes, with normal spaces
or apostrophes)
instead of commas—to ensure
that confusion is not caused in countries where a decimal comma is used. Thus, a million is often
written 1 000 000.
In some areas, a point (. or ·) may also be used as a thousands' separator, but then, the decimal separator must be a comma.
Specialized numbers
A few
numbers have special names (in addition to their regular names):
A few numbers have specialised multiplicative numerals expresses how many fold or how many times: once, twice, thrice.[2]
Negative numbers
The
name of a negative number is the name of the corresponding positive number
preceded by "minus" or (American English) "negative". Thus
-5.2 is "minus five point two" or "negative five point
two". For temperatures, Americans colloquially say "below"
—short for "below zero"— so a temperature of -5° is "five
below".
] Ordinal numbers
Ordinal
numbers refer to a position in a series. Common ordinals include:
Zeroth only has a
meaning when counts start with zero, which happens in a mathematical or computer science context.
Ordinal numbers such as 21st, 33rd, etc., are formed by combining a cardinal ten with an ordinal unit.
Americans may pronounce four-digit numbers with non-zero tens and ones as pairs of two-digit numbers without saying "hundred" and inserting "oh" for zero tens: "twenty-six fifty-nine" or "forty-one oh five". This usage probably evolved from the distinctive usage for years; 'nineteen-eighty-one'. It is avoided for numbers less than 2500 if the context may mean confusion with time of day: "ten ten" or "twelve oh four."
Intermediate numbers are read differently depending on their use. Their typical naming occurs when the numbers are used for counting. Another way is for when they are used as labels. The second column method is used much more often in American English than British English. The third column is used in British English, but rarely in American English (although the use of the second and third columns is not necessarily directly interchangeable between the two regional variants). In other words, the British dialect can seemingly adopt the American way of counting, but it is specific to the situation (in this example, bus numbers).
|
Common
British vernacular
|
Common
American vernacular
|
Common
British vernacular
|
|
"How many marbles do you have?"
|
"What is your house number?"
|
"Which bus goes to the high
street?"
|
101
|
"A
hundred and one."
|
"One-oh-one."
Here, "oh" is used for the digit zero. |
"One-oh-one."
|
109
|
"A
hundred and nine."
|
"One-oh-nine."
|
"One-oh-nine."
|
110
|
"A
hundred and ten."
|
"One-ten."
|
"One-one-oh."
|
117
|
"A
hundred and seventeen."
|
"One-seventeen."
|
"One-one-seven."
|
120
|
"A
hundred and twenty."
|
"One-twenty."
|
"One-two-oh", "One-two-zero."
|
152
|
"A hundred and fifty-two."
|
"One-fifty-two."
|
"One-five-two."
|
208
|
"Two
hundred and eight."
|
"Two-oh-eight."
|
"Two-oh-eight."
|
334
|
"Three hundred and thirty-four."
|
"Three-thirty-four."
|
"Three-three-four."
|
Note that in American English, many students are taught not to use the word and anywhere in the whole part of a number, so it is not used before the tens and ones. It is instead used as a verbal delimiter when dealing with compound numbers. Thus, instead of "three hundred and seventy-three", one would say "three hundred seventy-three". For details, see American and British English differences.
For numbers above a million, there are two different systems for naming numbers in English (for the use of suffixes such as kilo- for a thousand, mega- for a million, milli- for a thousandth, etc. see SI units):
- the long scale
(decreasingly used in British English) designates a system of numeric
names in which a thousand million is called a ‘‘milliard’’ (but the latter
usage is now rare), and ‘‘billion’’ is used for a million million.
- the short scale
(always used in American English and increasingly in British English)
designates a system of numeric names in which a thousand million is called
a ‘‘billion’’, and the word ‘‘milliard’’ is not used.
Number notation
|
Power
notation |
Short scale
|
Long scale
|
1,000,000
|
106
|
one million
|
one million
|
1,000,000,000
|
109
|
||
1,000,000,000,000
|
1012
|
||
1,000,000,000,000,000
|
1015
|
||
1,000,000,000,000,000,000
|
1018
|
The googolplex has often been nominated as the largest named number in the world. If a googol is ten to the one hundredth, then a googolplex is one followed by a googol of zeroes. .[1]
Although British English has traditionally followed the long-scale numbering system, the short-scale usage has become increasingly common in recent years. For example, the UK Government and BBC websites use the newer short-scale values exclusively.
Here are some approximate composite large numbers in American English:
Quantity
|
Written
|
Pronounced
|
1,200,000
|
1.2 million
|
one point two
million
|
3,000,000
|
3 million
|
three million
|
250,000,000
|
250 million
|
two hundred
fifty million
|
6,400,000,000
|
6.4 billion
|
six point
four billion
|
23,380,000,000
|
23.38 billion
|
twenty-three point three eight billion
|
In some areas, a point (. or ·) may also be used as a thousands' separator, but then, the decimal separator must be a comma.
Specialized numbers
A few
numbers have special names (in addition to their regular names):- 0: has several other names,
depending on context:
- zero: formal scientific
usage
- naught / nought: mostly British
usage
- aught: Mostly archaic but
still occasionally used when a digit in mid-number is 0 (as in
"thirty-aught-six", the .30-06 Springfield
rifle cartridge
and by association guns that fire it)
- oh: used when spelling numbers
(like telephone, bank account, bus line)
- nil: in general sport
scores, British usage ("The score is two-nil.")
- nothing: in general sport
scores, American usage ("The score is two to nothing.")
- null: used technically to refer
to an object or idea related to nothingness, such as the null value in
computer science which is technically very different from
zero. The 0th aleph number () is pronounced
"aleph-null".
- love: in tennis (origin disputed, often said to come
from French l'œuf,
"egg")
- zilch, nada (from
Spanish), zip: used informally when stressing
nothingness; this is true especially in combination with one another ("You
know nothing—zero, zip, nada, zilch!")
- nix: also used as a verb
- 2:
- 6: half a dozen
- 12: a dozen (first power of the duodecimal base), used mostly in commerce
- 13: a baker's dozen
- 20: a score (first power of the vigesimal base), nowadays archaic; famously
used in the opening of the Gettysburg Address:
"Four score and seven years ago..." The Number of the Beast
in the King James
Bible is rendered "Six hundred threescore and six".
- 50: half a century, literally half of a hundred, usually
used in cricket scores.
- 100: a century, also used in cricket scores.
- 120: a great hundred (twelve tens; as opposed to the
small hundred, i.e. 100 or ten tens), also called small gross (ten dozens), both archaic; also
sometimes referred to as duodecimal hundred
- 144: a gross (a dozen dozens, second power of the
duodecimal base), used mostly in commerce
- 1000: a grand, colloquially used especially when
referring to money, also in fractions and multiples, e.g. half a grand,
two grand, etc.
- 1728: a great gross (a dozen gross, third power of
the duodecimal base), used mostly in commerce
- 10,000: a myriad (a hundred hundred), commonly used in
the sense of an indefinite very high number
- 100,000: a lakh (a hundred thousand), loanword used mainly in Indian English
- 10,000,000: a crore (a hundred lakh), loanword used mainly
in Indian English
- 10100: googol (1 followed by 100 zeros), used in
mathematics; not to be confused with the name of the company Google (which was originally a misspelling of
googol)
- 10googol googolplex (1 followed by a googol of zeros)
- 10googolplex googolplexplex
(1 followed by a googolplex of zeros)
- 1–0 British
English: one nil; American English: one-nothing, one-zip,
or one-zero
- 0–0 British
English: nil-nil, or nil all; American English: zero-zero
or nothing-nothing, (occasionally scoreless or no score)
- 2–2 two-two
or two all; American English also twos, two to two, even
at two, or two up.)
A few numbers have specialised multiplicative numerals expresses how many fold or how many times: once, twice, thrice.[2]
Negative numbers
The
name of a negative number is the name of the corresponding positive number
preceded by "minus" or (American English) "negative". Thus
-5.2 is "minus five point two" or "negative five point
two". For temperatures, Americans colloquially say "below"
—short for "below zero"— so a temperature of -5° is "five
below".
] Ordinal numbers
Ordinal
numbers refer to a position in a series. Common ordinals include:
0th
|
zeroth or
noughth (see below)
|
10th
|
|
|
|
1st
|
11th
|
|
|
||
2nd
|
12th
|
twelfth (note "f", not "v")
|
20th
|
||
3rd
|
13th
|
30th
|
|||
4th
|
14th
|
40th
|
|||
5th
|
15th
|
50th
|
|||
6th
|
16th
|
60th
|
|||
7th
|
17th
|
70th
|
|||
8th
|
eighth (only one "t")
|
18th
|
80th
|
||
9th
|
ninth (no "e")
|
19th
|
90th
|
Ordinal numbers such as 21st, 33rd, etc., are formed by combining a cardinal ten with an ordinal unit.
21st
|
twenty-first
|
25th
|
twenty-fifth
|
32nd
|
thirty-second
|
58th
|
fifty-eighth
|
64th
|
sixty-fourth
|
79th
|
seventy-ninth
|
83rd
|
eighty-third
|
99th
|
ninety-ninth
|
Higher
ordinals are not often written in words, unless they are round numbers
(thousandth, millionth, billionth). They are written using digits and letters
as described below. Here are some rules that should be borne in mind.
Dates
There
are a number of ways to read years. The following table offers a list of valid
pronunciations and alternate pronunciations for any given year of the Gregorian calendar.
Fractions and decimals
In
spoken English, ordinal numbers are also used to quantify the denominator of a
fraction. Thus 'fifth' can mean the element between fourth and sixth, or the
fraction created by dividing the unit into five pieces. In this usage, the
ordinal numbers can be pluralized: one seventh, two sevenths. The sole
exception to this rule is division by two. The ordinal term 'second' can only
refer to location in a series; for fractions English speakers use the term
'half' (plural 'halves').
Here are some common fractions (partitive numerals[3]):
- The suffixes -th, -st,
-nd and -rd are occasionally written superscript above the number itself.
- If the tens digit of a number
is 1, then write "th" after the number. For example: 13th, 19th,
112th, 9,311th.
- If the tens digit is not
equal to 1, then use the following table:
If the units digit is:
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
write this after the number
|
th
|
st
|
nd
|
rd
|
th
|
th
|
th
|
th
|
th
|
th
|
- For example: 2nd, 7th, 20th,
23rd, 52nd, 135th, 301st.
- For example: 42d, 33d, 23d.
Dates
There
are a number of ways to read years. The following table offers a list of valid
pronunciations and alternate pronunciations for any given year of the Gregorian calendar.
Most common pronunciation method
|
Alternative methods
|
|
1 BC
|
(The year)
One BC
|
|
1
|
(The year)
One
|
|
235
|
Two
thirty-five
|
Two-three-five
Two hundred (and) thirty-five |
911
|
Nine eleven
|
Nine-one-one
Nine hundred (and) eleven |
999
|
Nine
ninety-nine
|
Nine-nine-nine
Nine hundred (and) ninety-nine Triple nine |
1000
|
One thousand
|
Ten hundred
1K Ten aught Ten oh |
1004
|
Ten-oh-four
|
|
1010
|
Ten ten
|
One thousand
(and) ten
|
1050
|
Ten fifty
|
One thousand
(and) fifty
|
1225
|
Twelve
twenty-five
|
One-two-two-five
One thousand, two hundred (and) twenty-five Twelve-two-five |
1900
|
Nineteen
hundred
|
One thousand, nine hundred
Nineteen aught |
1901
|
Nineteen
oh-one
|
Nineteen hundred (and) one
One thousand, nine hundred (and) one Nineteen aught one |
1919
|
Nineteen
nineteen
|
Nineteen hundred (and) nineteen
One thousand, nine hundred (and) nineteen |
1999
|
Nineteen
ninety-nine
|
Nineteen hundred (and) ninety-nine
One thousand, nine hundred (and) ninety-nine |
2000
|
Two thousand
|
Twenty hundred
Two triple-oh |
2001
|
Two thousand
(and) one
|
Twenty oh-one
Twenty hundred (and) one two double oh-one |
2009
|
Two thousand
(and) nine
|
Twenty oh-nine
Twenty hundred (and) nine two double oh-nine |
2010
|
Two thousand
(and) ten
|
Twenty-ten
Twenty hundred (and) ten two oh one oh |
2013
|
Two thousand
(and) thirteen
|
Twenty-thirteen
Twenty hundred (and) thirteen two oh one three |
2020
|
Two thousand
(and) twenty
|
Twenty hundred (and) twenty two oh two oh |
2025
|
Two thousand (and) twenty-five
|
Twenty- twenty five
Twenty hundred (and) twenty five two oh two five |
2099
|
Two thousand (and) ninety-nine
|
Twenty ninety-nine
Twenty hundred (and) ninety-nine two oh nine nine |
2100
|
Twenty-one
hundred
|
Two thousand, one hundred
Twenty-one-oh Twenty-one-aught |
2101
|
Twenty-one-oh-one
|
Two thousand, one hundred (and) one
Twenty one hundred (and) one |
Fractions and decimals
In
spoken English, ordinal numbers are also used to quantify the denominator of a
fraction. Thus 'fifth' can mean the element between fourth and sixth, or the
fraction created by dividing the unit into five pieces. In this usage, the
ordinal numbers can be pluralized: one seventh, two sevenths. The sole
exception to this rule is division by two. The ordinal term 'second' can only
refer to location in a series; for fractions English speakers use the term
'half' (plural 'halves').Here are some common fractions (partitive numerals[3]):
1/16
|
one-sixteenth
|
1/10 or 0.1
|
one-tenth
|
1/8
|
one-eighth
|
2/10 or 0.2
|
two-tenths
|
1/4
|
one-quarter or (mainly American English)
one-fourth
|
3/10 or 0.3
|
three-tenths
|
1/3
|
one-third
|
3/8
|
three-eighths
|
4/10 or 0.4
|
four-tenths
|
1/2
|
|
6/10 or 0.6
|
six-tenths
|
5/8
|
five-eighths
|
2/3
|
two-thirds
|
7/10 or 0.7
|
seven-tenths
|
3/4
|
three-quarters or three-fourths
|
8/10 or 0.8
|
eight-tenths
|
7/8
|
seven-eighths
|
9/10 or 0.9
|
nine-tenths
|
15/16
|
fifteen-sixteenths
|
Alternatively, and for greater numbers, one may say for 1/2 "one over two", for 5/8 "five over eight", and so on. This "over" form is also widely used in mathematics. (This form is not common in British English.)
Numbers with a decimal point may be read as a cardinal number, then "and", then another cardinal number followed by an indication of the significance of the second cardinal number (not common in British English); or as a cardinal number, followed by "point", and then by the digits of the fractional part. The indication of significance takes the form of the denominator of the fraction indicating division by the smallest power of ten larger than the second cardinal. This is modified when the first cardinal is zero, in which case neither the zero nor the "and" is pronounced, but the zero is optional in the "point" form of the fraction.
- For example:
- 0.002 is "two
thousandths" (mainly U.S.); or "point zero zero two",
"point oh oh two", "nought point zero zero two", etc.
- 3.1416 is "three point
one four one six"
- 99.3 is "ninety-nine
and three tenths" (mainly U.S.); or "ninety-nine point
three".
- Fractions together with an
integer are read as follows:
- 1 1/2 is "one and a
half"
- 6 1/4 is "six and a
quarter"
- 7 5/8 is "seven and
five eighths"
·
- 9 1/2
- 9½
Whether to use digits
or words
According
to most copy editors and English teachers,[citation needed]
the numbers zero to nine inclusive should be "written out" – meaning
instead of "1" and "2", one would write "one" and
"two".
Example: "I have two apples."
(Preferred)
Example: "I have 2 apples."
After
"nine", one can head straight back into the 10, 11, 12, etc.,
although some write out the numbers until "twelve".
Example: "I have 28 grapes."
(Preferred)
Example: "I have twenty-eight
grapes."
Another
common usage is to write out any number that can be expressed as one or two
words, and use figures otherwise.
Examples:
"There are six million dogs."
(Preferred)
"There are 6,000,000 dogs."
"That is one hundred twenty-five
oranges."
"That is 125 oranges."
(Preferred)
Numbers
at the beginning of a sentence should also be written out.The above rules are not always used. In literature, larger numbers might be spelled out. On the other hand, digits might be more commonly used in technical or financial articles, where many figures are discussed. In particular, the two different forms should not be used for figures that serve the same purpose; for example, it is inelegant to write, "Between day twelve and day 15 of the study, the population doubled."
Empty numbers
Colloquial
English has a small vocabulary of empty numbers that can be employed when there
is uncertainty as to the precise number to use, but it is desirable to define a
general range: specifically, the terms "umpteen", "umpty",
and "zillion". These are derived etymologically
from the range affixes:- "-teen"
(designating the range as being between 10 and 20)
- "-ty" (designating
the range as being in one of the decades between 20 and 100)
- "-illion"
(designating the range as being above 1,000,000; or, more generally, as
being extremely large).
Usage of empty numbers:
- The word "umpteen"
may be used as an adjective, as in "I had to go to umpteen stores to
find shoes that fit." It can also be used to modify a larger number,
usually "million", as in "Umpteen million people watched
the show; but they still cancelled it."
- "Umpty" is not in
common usage. It can appear in the form "umpty-one"
(parallelling the usage in such numbers as "twenty-one"), as in
"There are umpty-one ways to do it wrong." "Umpty-ump"
is also heard, though "ump" is never used by itself.
- The word "zillion"
may be used as an adjective, modifying a noun. The noun phrase normally
contains the indefinite article "a", as in "There must be a
zillion sites on the World Wide Web."
- The plural
"zillions" designates a number indefinitely larger than
"millions" or "billions". In this case, the
construction is parallel to the one for "millions" or
"billions", with the number used as a plural count noun,
followed by a prepositional phrase with "of", as in "Out in
the countryside, the night sky is filled with zillions of stars."
- Empty numbers are sometimes
made up, with obvious meaning: "squillions" is obviously an
empty, but very large, number; a "squintillionth" would be a
very small number.
- Some empty numbers may be
modified by actual numbers, such as "four zillion", and are used
for jest, exaggeration, or to relate abstractly to actual numbers.
- Empty numbers are colloquial,
and primarily used in oral speech or informal contexts. They are
inappropriate in formal or scholarly usage.