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Topic: Decimal point


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In the News (Sun 6 Dec 09)

  
  Decimal - Wikipedia, the free encyclopedia
Decimal notation is the writing of numbers in the base 10 numeral system, which uses various symbols for ten distinct quantities (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, called digits) to represent numbers.
These digits are frequently used with a decimal point which indicates the start of a fractional part, and with one of the sign symbols + (plus) or − (minus) to indicate sign.
Decimal fractions can be expressed without a denominator, the decimal point being inserted into the numerator (with leading zeros added if needed), at the position from the right corresponding to the power of ten of the denominator.
en.wikipedia.org /wiki/Decimal   (1073 words)

  
 Decimal separator - Wikipedia, the free encyclopedia
The decimal separator is a symbol used to mark the boundary between the integer and the fractional parts of a decimal numeral.
This had the advantage of reducing confusion with the countries that used the period to separate groups of digits, but as the middle dot was already in common use in world mathematics to indicate multiplication (for example, in the dot product), the SI rejected this use of this symbol for this purpose.
However, the use of the period as decimal point was not banned.
en.wikipedia.org /wiki/Decimal_point   (505 words)

  
 All Elementary Mathematics - Study Guide - Arithmetics - Decimal fractions ( decimals )...
Decimal fraction is a result of dividing of unit by ten, hundred, thousand parts etc. These fractions are very comfortable in calculations, because they are based on the same system, that calculus and record of integers are built.
At first the integer part of a number is written; to the right of it the decimal point is put; the first digit after the point means a number of tenths (a number of tenth parts of unit), the second – a number of hundredths, the third – thousandths, and so on.
Repeating decimal is a decimal in which a digit or a group of digits repeats endlessly in a pattern.
www.bymath.com /studyguide/ari/ari12.html   (399 words)

  
 Thousandths
A decimal is a fractional number and is indicated by digits after a period which is called a decimal point.
The decimal 0.36 is pronounced "thirty-six hundredths" or "zero point thirty-six".
The word and may be used to indicate the decimal point so it should not be used in other parts of the name of the decimal.
www.aaamath.com /B/dec44ax2.htm   (148 words)

  
 Decimals, Whole Numbers, and Exponents
Decimal numbers such as 3.762 are used in situations which call for more precision than whole numbers provide.
The expanded form of a decimal number is the number written as the sum of its whole number and decimal place values.
To round a number to any decimal place value, we want to find the number with zeros in all of the lower places that is closest in value to the original number.
www.mathleague.com /help/decwholeexp/decwholeexp.htm   (1672 words)

  
 Arithmetic : Decimal Multiplication
Decimals are multiplied like whole numbers and the decimal point placed appropriately.
The decimal point is placed such that the number of decimal places in the product equals the total of the number of decimal places in the numbers being multiplied.
When a decimal is multiplied by 10, the decimal point shifts one place to the right; when a decimal is multiplied by 100, the decimal point shifts two places to the right; and so on.
www.syvum.com /cgi/online/serve.cgi/squizzes/arithmetic/decimult.tdf?0   (283 words)

  
 Math Forum - Ask Dr. Math   (Site not responding. Last check: 2007-10-07)
In the case of the zero before the decimal point, although it doesn't affect the value of the number, it is almost universally considered good practice to include it - not for mathematical reasons, but for human reasons.
If the decimal point is not seen, a tenfold overdose may result." Again, Medicine, Malpractice and the Law (a paper by Raymond Wacks) http://www.medicine.org.hk/bma/programme.htm "The expression of drug dose and units should be clear.
"Example: The oral expression "point seven five" is written 0.75." Next, in the metric system: Metrics the Right Way (George Sudikatus, ICF KH Metric Coordinator, Pacific Northwest National Laboratory) http://www.pnl.gov/ag/usage/metrics.html "In the United States, the standard decimal marker is a dot on the line (i.e., a period or 'decimal point').
mathforum.org /library/drmath/view/52352.html   (848 words)

  
 PEP 327 -- Decimal Data Type
Decimal will be floating point (as opposed to fixed point) and will have bounded precision (the precision is the upper limit on the number of significant digits in a result).
Decimal, be it used as a fixed or floating point number, should suffer from no such limitation: whatever bounded precision you may specify on number creation (your memory permitting) should work just as well.
That the Decimal() constructor ignores context by default is an extension to the spec.
www.python.org /peps/pep-0327.html   (4593 words)

  
 Tutorial: Floating-Point Binary   (Site not responding. Last check: 2007-10-07)
In decimal terms, this is eleven divided by sixteen, or 0.6875.
The exponent expresses the number of positions the decimal point was moved left (positive exponent) or moved right (negative exponent).
The "1" to the left of the decimal point is dropped from the mantissa.
www.nuvisionmiami.com /books/asm/workbook/floating_tut.htm   (717 words)

  
 Decimal Arithmetic - FAQ 1
When decimal numbers are being used simply as labels, and are not expected to be subject to arithmetic, programmers often (perhaps incorrectly) use a decimal datatype to store them.
Decimal data are extremely common in commerce (55% of numeric data columns in databases have the decimal datatype, see above), so almost all major programming languages used for commercial applications support decimal arithmetic either directly or through libraries.
Decimal numbers are traditionally held in a binary coded decimal form which uses about 20% more storage than a purely binary representation.
www2.hursley.ibm.com /decimal/decifaq1.html   (2397 words)

  
 5.6 decimal -- Decimal floating point arithmetic
Unlike hardware based binary floating point, the decimal module has a user settable precision (defaulting to 28 places) which can be as large as needed for a given problem:
Both binary and decimal floating point are implemented in terms of published standards.
The module design is centered around three concepts: the decimal number, the context for arithmetic, and signals.
docs.python.org /lib/module-decimal.html   (337 words)

  
 General Decimal Arithmetic
It brings together the relevant concepts from a number of ANSI, IEEE, ECMA, and ISO standards, and conforms to the proposed decimal formats and arithmetic in the current draft of the ongoing IEEE 754 revision.
Decimal floating-point arithmetic, with unrounded and integer arithmetic as a subset (IEEE 754R + IEEE 854 + ANSI X3.274 + ECMA 334 + Java 5).
This specification forms the basis for a number of implementations, and also describes the decimal arithmetic in the current draft of the ongoing IEEE 754 revision.
www2.hursley.ibm.com /decimal   (1696 words)

  
 17.6 Binary Coded Decimal Fixed Point Types
An important variation on the idea of storing cardinals in a digit by digit fashion and then using a picture to print out the numbers with a decimal point is to store the digits along with a decimal point position.
The name of any data type stored and manipulated in decimal digits at the binary level is binary coded decimal or BCD for short.
As can be seen, the string formatting rules are a little different (and more complicated) than in the simple example of the previous section, but there is no great uniformity in such matters, and the example begun there was deliberately kept as simple as possible so as not to confuse the concepts.
www.arjay.bc.ca /Modula-2/Text/Ch17/Ch17.6.html   (1323 words)

  
 What is decimal? - A Word Definition From the Webopedia Computer Dictionary   (Site not responding. Last check: 2007-10-07)
Note that a decimal number is not necessarily a number with a decimal point in it.
Numbers with decimal points (that is, numbers with a fractional part) are called fixed-point or floating-point numbers.
In addition to the decimal format, computer data is often represented in binary, octal, and hexadecimal formats.
www.webopedia.com /TERM/D/decimal.html   (88 words)

  
 DECIMALS: FAST FACTS   (Site not responding. Last check: 2007-10-07)
to the right of the decimal point is the "tenths" place, but one decimal place to the left of the decimal point is the "ones" place.
Move the decimal point in the number inside of the division box (the dividend) the same number of places.
Then to the right of the number in the division box (a whole number with an "understood decimal" at the end) add as many zeros to match the number of places the decimal was moved on the outside number.
www.mccc.edu /~kelld/decff.htm   (529 words)

  
 SparkNotes: Percents: Percents
To convert a percent into a decimal, move the decimal point 2 places to the left and drop the percent sign.
If there are fewer than two places to the right of the decimal, add zeros at the end of the number after the decimal point.
The easiest way to change a fraction into a percent is first to change the fraction into a decimal by dividing the numerator by the denominator, and then change this decimal into a percent by moving the decimal point 2 places to the right, as above.
www.sparknotes.com /math/prealgebra/percents/section1.html   (426 words)

  
 Fixed Point Math Tutorial   (Site not responding. Last check: 2007-10-07)
When two fixed point numbers are multiplied, the number of digits to the right of the radix point in the product is equal to the sum of the digits to the right of the radix point of multiplier and multiplicand.
Division of two fixed point numbers requires that you subtract the number of digits to the right of the radix point in the divisor from those of the dividend to get the position of the radix point in the quotient.
The number of places to the right of the decimal point, the third field in the layout, is also a shorthand notation of the denominator.
www.wwnet.net /~stevelim/fixed.html   (3647 words)

  
 Decimal A decimal number is a number with a decimal point in it   (Site not responding. Last check: 2007-10-07)
Decimal A decimal number is a number with a decimal point in it
The number to the left of the decimal is an ordinary whole number.
A decimal can be converted to either a fraction or a percent.
home.satx.rr.com /bowiemathconn/GlsDecimal.htm   (236 words)

  
 Decimal point
When you multiply and/or divide by a series of numbers it is not always obvious where the decimal point should be.
The answer on the slide rule would be "1.86" but the decimal point may or may not be correct.
In the case of numbers less than one the "number of digits is negative and refers to the number of zeros after the decimal point.
www.sliderules.clara.net /a-to-z/decimal-point.htm   (1834 words)

  
 decimal point. The New Dictionary of Cultural Literacy, Third Edition. 2002
The point or dot placed to the left of decimals to separate them from the whole number portion of the decimal.
When the number is spoken aloud, the word point is usually used to signify the decimal point.
For example, “8.3” is read “eight point three.”
www.bartleby.com /59/19/decimalpoint.html   (141 words)

  
 The meaning of decimals -- A complete course in arithmetic
The decimal point separates the whole units on the left from the decimal units on the right.
Specifically, a number less than 1 that is written with a decimal point is called a decimal fraction; a number written with a numerator and denominator is called a common fraction (Lesson 19).
The first position to the right of the decimal point is called the 1st decimal place.
www.themathpage.com /ARITH/decimals.htm   (694 words)

  
 Ten-Thousandths
The decimal 0.749 is pronounced "seven hundred forty-nine thousandths" or "zero point seven four nine".
Ten thousandths have four digits after the decimal point.
The decimal 0.064 is pronounced "sixty-four thousandths" or "zero point zero six four".
www.aaamath.com /B/nam51ax2.htm   (111 words)

  
 Adaptable programmed calculator including automatic decimal point positioning - Patent 4156921   (Site not responding. Last check: 2007-10-07)
said logic means being operative for enabling said output display means to display the decimal point at the one of said plurality of positions designated by said decimal point control means in noninteger data entered into the calculator and visually displayed by said output display means.
Another object of this invention is to provide an adaptable calculator in which the user may designate an automatic decimal point mode for automatically placing the decimal point in entered data at a preselected position.
The place at which the the decimal point is automatically located is specified by the current rounding format.
www.freepatentsonline.com /4156921.html   (2757 words)

  
 (Complete) Tutorial to Understand IEEE Floating-Point Errors   (Site not responding. Last check: 2007-10-07)
Every decimal integer can be exactly represented by a binary integer; however, this is not true for fractional numbers.
Even common decimal fractions, such as decimal 0.0001, cannot be represented exactly in binary.
You can think of this like scientific notation, where you manipulate the exponent to have one digit to the left of the decimal point, except in binary, you can always manipulate the exponent so that the first bit is a 1, since there are only 1s and 0s.
support.microsoft.com /support/kb/articles/Q42/9/80.ASP   (1807 words)

  
 Floating Point   (Site not responding. Last check: 2007-10-07)
It explains the binary representation of these numbers, how to convert to decimal from floating point, how to convert from floating point to decimal, discusses special cases in floating point, and finally ends with some C code to further one's understanding of floating point.
The single precision floating point unit is a packet of 32 bits, divided into three sections one bit, eight bits, and twenty-three bits, in that order.
The point is, there is never a leading 0 in scientific notation, and it makes no difference whether we're talking about binary or decimal or hexadecimal or whatever.
www.duke.edu /~twf/cps104/floating.html   (2287 words)

  
 VoiceGuide -> Decimal Point
If asking caller to enter a dollar amount you would usually ask caller to enter the number in cents, ignoring the decimal point.
If you know how many numbers after the decimal point ought to be entered then thats still the best approach - just tell caller to "enter the number including X places after the decimal point.."
If you want the complete number to be accessible as one Result Variable yo can use and Evaluate Expression module to create the complete decimal number by concatenating the digits entered in the first and second modules (with a decimal point in the middle).
www.voiceguide.com /forums_archive/f2_t996.htm   (258 words)

  
 Placing the Decimal Point
Various methods have been advanced regarding the placement of the decimal point in numbers derived from slide rule computations.
From our approximation we know that the decimal point is to the immediate left of the first
point is indicated by the presence of the caret
www.tpub.com /math1/9e.htm   (225 words)

  
 Fabulous Adventures In Coding : Fun With Floating Point Arithmetic, Part Three
Note that k is the number of digits in the decimal representation of s, that s is not divisible by 10, and that the least significant digit of s is not necessarily uniquely determined by these criteria.
Of course you pointed us to a standard which allows the rounding to be wrong, and efforts to provide nice "round trip" conversions do require rounding to be wrong in some cases, but anyone who doesn't understand floating point well enough will surely not understand these points, and we might expect them to complain.
In fact imagine doing a printf() with a precision of 3 decimal places, reading it back in, and depending on the imagined pseudo-fact that the value will be the same as before it was printf()'ed.
blogs.msdn.com /ericlippert/archive/2005/01/17/354658.aspx   (1418 words)

  
 Returning values with more than two digits to the right of the decimal point   (Site not responding. Last check: 2007-10-07)
The data type is decimal, length 9, precision 13, scale 6.
This is a typical situation when you want a dollar figure that is exactly two decimal place to the right of the decimal.
When inputting a number as a decimal, MS SQL Server pads the end of the number with 0s to equal the number of places declared in the scale.
searchcrm.techtarget.com /ateQuestionNResponse/0,289625,sid13_cid456124_tax289343,00.html   (294 words)

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