Literal Numbers

Although AutoMathic allows certain classes of numbers to be written-out as English words, numbers will usually be entered as a sequence of digits.  There are a few restrictions when supplying literal numbers to AutoMathic:

Numbers may contain commas (,) as group separators 1,000,000
Decimal fractions between -1 and 1 MUST have a leading zero 0.396
Numbers may NOT be entered using scientific notation of any kind! 1x10^5

Written Numbers

Usually, numbers will be entered as a sequence of digits, but sometimes the context or style of input would make it more natural to use the written form of numbers.  AutoMathic allows using words for simple numbers in the following categories:

Small integers and their plurals
  • zero, one, two, ..., nineteen
  • ones, twos, ..., nineteens
  • 1's, 2's, ..., 19's
  • 1s, 2s, ..., 19s
Small multiples of 10 and their plurals
  • ten, twenty, thirty, forty, ..., ninety
  • tens, twenties, ..., nineties
  • 10's, 20's, ..., 90's
  • 10s, 20s, ..., 90s
Common powers of 10 and their plurals
  • hundred, thousand, million, billion, trillion, quadrillion
  • hundreds, thousands, ..., quadrillions
  • 100's, 1,000's, 1,000,000's, ...
  • 100s, 1,000s, 1,000,000s, ...
Simple fractions and their plurals
  • half, third, fourth, ..., tenth, sixteenth
  • halves, thirds, ..., tenths, sixteenths
Inverse powers of 10 and their plurals
  • tenth, hundredth, thousandth, millionth, billionth, trillionth, quadrillionth
  • tenths, hundredths, ..., quadrillionths
Special numbers and their plurals
  • negative, nil, nothing, neutral, whole, positive, pair, couple, dozen, baker's dozen, gross
  • wholes, pairs, dozens, etc.
Mathematical Constants Golden Ratio, e, Pi, Avogadro's number

Written numbers can always be combined as long as the combination is purely multiplicative, not additive.  For example:

three hundred 3 x 100
forty billion 40 x 1,000,000,000
five sixteenths 5 x 1/16
two dozen 2 x 12
six gross 6 x 144
half a million 1/2 x 1,000,000

Note that, contrary to standard writing conventions, AutoMathic's combined numbers must NOT be hyphenated (e.g.  "two-thirds")...  Hyphens would be misinterpreted as subtraction!

Additive combinations are only safe to use when they are not part of a larger term:

three and a half 3 + 1/2
two and five sixteenths 2 + 5/16

Complicated written numbers (that imply multiplication and addition) are usually NOT understood by AutoMathic!  Here are ways of writing out 256 that get misinterpreted:

Input Interpretation
two hundred fifty six 2 x 100 x 50 x 6 = 60000
two hundred and fifty six 2 x 100 + 50 x 6 = 500

The only way to use an additive combination as part of a larger term is to enclose the combination within parentheses to help guide the translation and remove the ambiguity:

Input Interpretation
three and a half thousand 3 + 1/2 * 1000 = 503
(three and a half) thousand (3 + 1/2) * 1000 = 3500

Using parentheses works, but it is so unnatural and exacting that it defeats the purpose of using written numbers in the first place!  It is most effective to use written numbers for the simple cases and multiplicative combinations only.