Number Style
Number style recommended in Scientific Style and Format Seventh Edition.
The following document was published in the JanuaryFebruary 1998 issue of CBE Views (1998;21(1):1416).
Some CBE members and other users of Scientific Style and Format have voiced reservations about the manuals recommendations on how to express numbers in scientific text, as presented in section 11·2. The "SSF style", which recommends that arabic numerals be used for all countable entities in scientific text, has been adopted by CBE Views as a way of familiarizing CBE members with this format of presenting numbers, even though CBE Views is not, strictly speaking, a scientific journal. In CBE Views, as in SSF, the SSF recommendations have been applied in a fairly literal manner, which has led to the appearance of numerals for most numbers including "1" for "one", even when counts were not really the focus (for example, in idiomatic expressions).
SSF does recognize that numerals might not be appropriate in all contexts, even though it does not specifically address idiomatic usages. The introduction to Chapter 11 ("Numbers, Units, Mathematical Expressions, and Statistics") states: "The following guidelines for representing numbers may occasionally collide with the realities of some documents. When common sense or editorial judgment says a guideline is a poor choice for a specific document, follow sense or judgment. Perfect consistency in representing numbers and numeric terms is impossible; choose the form that is best suited to your document and follow that form as consistently as is reasonable."
The recommendations in section 11·2 are specifically designated as applying to scientific text, so authors and editors might want to adopt other styles for nonscientific documents, such as profiles, news items, or essays, even those appearing in a scientific journal.
Even in scientific text, numbers might be used in a nonenumerative or nonquantitative sense, where the word would be more appropriate than the numeral (most commonly "one" instead of "1"). In addition, it has become apparent that single-digit ordinals in numeric form in running text appear inelegant and even confusing to CBE writers and readers. (As an aside, have you noticed that the numeric form of "first", "1st", differs by just a single character from its exact opposite, "last"?)
To give users of the manual a better feel for the situations in which the word might be more appropriate than the corresponding numeral and in recognition that a logical guideline does not necessarily yield easily comprehended text, the Style Manual Subcommittee has revised section 11·2. In making these changes, the subcommittee has tried to keep in mind the needs of publishers, who are free to choose and enforce a house style, and those of authors and authors editors, who submit manuscripts to a variety of publishers.
Replace section 11·2 of Scientific Style and Format with the following.
NUMERALS OR WORDS MODERN SCIENTIFIC NUMBER STYLE
The conventions presented here revise what has often been called the "scientific number style". That style generally used words for 1-digit whole numbers and numerals for larger numbers, a distinction that many found arbitrary. The revised or "modern" scientific number style treats numbers more consistently by extending the use of numerals to most 1-digit whole numbers that were previously expressed as words. This style allows all quantities to be expressed in a similar manner, and because numerals have greater visual distinctiveness than words, it increases the profile of quantities in running text.
The objective of emphasizing quantity with numerals is further facilitated by the use of words instead of numerals for numbers appearing in a context that can be thought of as only secondarily quantitative; that is, when a numbers quantitative function has been subordinated to a nonquantitative meaning or the number is used idiomatically, it should be expressed as a word (for example, "the sixty-four dollar question").
Developing recommendations for "zero" and "one" was more difficult. For these numbers, applying consistent logic (numerals for quantities and words otherwise) would often increase tedium in making decisions about correct usage and create an inconsistent appearance because "one" in particular has a variety of functions and readers might not quickly grasp the logic. Therefore, simplicity and consistent appearance have been given priority for these 2 numbers. For example, "one" can be used in ways in which quantity is irrelevant: as a personal pronoun or synonym for "you" ("one must never forget that
") or as an indefinite pronoun ("this one is preferred
"). "Zero" and "one" are also used in ways that are more like figures of speech than precise quantifications ("in one or both of the
", "in any one year
", "a zero-tolerance policy"). In addition, the numeral "1" can be easily confused with the letters "l" and "I", particularly in running text, and the value "0" can be confused with the letter "O" or "o" used to designate a variable.
Cardinal Numbers
Because quantitative elements in scientific writing are of paramount importance, whole and decimal numbers in scientific text, titles, headings, tables, and figure captions should be expressed as numerals rather than words. This form increases their visibility and distinctiveness and emphasizes their enumerative function.
- 3 hypotheses
- 328 amino acids
- 7 samples
- 4 times
- 52 trees
- 0.5 mm
Numerals are also used to designate mathematical relationships, such as ratios and multiplication factors.
- 5:1
- 1000× magnification
- 4-fold
There are 4 categories of exceptions when numbers should be spelled out.
- If logic calls for a number to begin a sentence, title, or heading, then spell out the number. If possible, reword so that the number appears elsewhere or join the sentence to the previous sentence.
- Twenty milligrams is the desired amount, but 15 mg is enough.
- The desired amount is 20 mg, but 15 mg is enough.
- The drug is administered in a single dose; 20 mg is the desired amount, but 15 mg is enough.
- When 2 numbers are adjacent, spell out the number most easily expressed in words and leave the other as a numeral, or reword the sentence to separate the numbers. In general, retain the numeral that occurs with a unit of measurement.
- The sample was divided into eight 50-g aliquots.
- The sample was divided into 8 aliquots of 50 g each.
- Express the whole numbers zero and one as numerals only when:
- they are connected to a unit of measure
- 1 year
- 1 mm
- 1 J
- 0 A
- 1-digit numbers
- they are used as assigned or calculated values
- with q fixed at 1
- when z=0
- a mean of 0
- or they are part of a series or are closely or intermittently linked with numbers other than 0 or 1
- 0, 1, 5, and 9 were
(series)
- 1 of 4 subspecies (closely linked)
- 2 applications instead of 1 were
(closely linked)
- between 0 and 2 (closely linked)
- Of these, 3 samples were
, and 1 sample was
The last 5 samples were
(intermittently linked)
- Otherwise, spell out "zero" and "one".
- one of the subspecies
- at one time
- on the one hand
- in one such instance
- one doctor
- was one of the most important
- zero-based budgeting
- a value approaching zero
- the zero in Table 3
- In supporting scientific ethics one is obliged to
- Of the possible avenues of research, this one is the most promising.
- Here was one alternative that we should have examined.
- When a number is used idiomatically or within a figure of speech, spell out the word; however, like jargon, figures of speech may be inappropriate for scientifically oriented writing because they may not be readily understood by readers whose first language is not English. Recasting the phrase is generally the better option.
- This situation tells us a thing or two about
- [Rewording]
tells us several things about
- of two minds
- [Rewording] undecided
- a thousand and one possibilities
- [Rewording] innumerable possibilities
Likewise, in situations such as those given below, the number may be used in a way in which the exact numeric quantity is secondary to the overall meaning. In scientific material, rewording to avoid the number altogether might be best. Otherwise, either the word or the numeral may be used.
- among the four of us
- [Rewording] among our group
- the two of them
- [Rewording] both of them
- we three
- [Rewording] we
- one or two of these
- [Rewording] some of these
Ordinal Numbers
Ordinal numbers generally convey rank order rather than quantity. As such, rather than being expressly enumerative (answering the question "How many?"), they often instead describe "which", "what", or "in what sequence". Because this function of ordinals is more prose-oriented than quantitative, distinctiveness within the text is less important for ordinal numbers, and nondisruptive reading flow and comprehension take precedence. Potential confusion between the numeral "1" and the letters "l" and "I" is also a consideration.
- In general, spell out single-digit ordinals (corresponding to the numbers 1 to 9), whether adjectives or adverbs.
- the ninth time
- were first discovered
- a third wave of immigrants
- the first ducklings emerged
- Comprehension is less likely to be impeded by the appearance of the numeric form of 2-digit ordinals (corresponding to the numbers 10 and higher), and the practice of using the numeric form for such ordinals is well established. Therefore, express these larger ordinals as numerals.
- for a 10th time
- the 98th test run
- the 19th century
- Express single-digit ordinals in the numeric form if they appear in a series with or are intermittently linked with larger ordinals.
- The 5th, 8th, and 10th [not "fifth, eighth and 10th/tenth"] replications were
- We developed
hypotheses
tested the 1st [not "first"]
The 11th [not "eleventh"] was
- To provide visual cues to comprehension, single-digit ordinals may be expressed in the numeric form if they are used repeatedly.
- Of those 6, we first examined the 4th subject, who
Then we looked at the 5th subject
We finally returned to review the 1st, 2nd, and 3rd subjects
Although the general policy for ordinals would dictate that words be used here, the numeric form provides more distinction for the references to the individual subjects. "Subject 1", "subject 2", and so on would accomplish the same thing. The numeric ordinals also enhance contrast with the adverbial use of "first" in this example. Whichever style is chosen in this situation numeric ordinals or the spelled-out form it should be used consistently.
Fractions
In general, fractions should be spelled out in running text. Hyphenate all fractions, whether used as adjectives or nouns.
- one-half (or "half") of the subjects
- a third of the study plots
- nearly three-quarters of the population
- a two-thirds majority
For fractional quantities greater than 1, mixed fractions may be used if the precise value is not intended. The fraction should be set close to the whole number.
- was followed for 3½ years
- about 1¼ km distant
When the precise value must be conveyed, the decimal or percent form is preferred.
- 3.5 L
- 27% of the
- a study area measuring 1.25 × 3.0 km
Comments and suggestions should be addressed to:
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