decimal


Also found in: Dictionary, Thesaurus, Financial, Acronyms, Idioms, Wikipedia.
Related to decimal: decimal places

decimal

1. a fraction that has a denominator of a power of ten, the power depending on or deciding the decimal place. It is indicated by a decimal point to the left of the numerator, the denominator being omitted. Zeros are inserted between the point and the numerator, if necessary, to obtain the correct decimal place
2. any number used in the decimal system
3. 
a. relating to or using powers of ten
b. of the base ten
4. expressed as a decimal

Decimal

 

a fraction whose denominator is a whole power of the number 10. The decimal is written without a denominator, setting off in the numerator to the right of the decimal point as many digits as there are zeros in the denominator (for example, 485,634/1,000 = 485.634 and 3/100 = 0.03). In such notation, the part to the left of the decimal point designates the integer part of the fraction. The first digit after the decimal point designates the number of tenths; the second, the number of hundredths; and so forth.

The decimal notation of rational numbers whose denominator does not have other prime factors except 2 and 5 contains a finite number of digits (for example, 4/25 = 0.16). In general, the digits in the decimal notation of a rational number begin repeating at some position; such a number is an infinite repeating decimal (for example, 7/6 = 1.1666 …). Irrational numbers are nonrepeating infinite decimals (for example, Decimal = 1.41421 . … In all cases, the decimal of akak-1a0b1b2 … can be written in the form

where ak, ak-1, … , a0, b1b2, are the numerals 0, 1, 2, … , 9 (ak ≠ 0) in the corresponding digit of the number. For example, 382.1274 = 3 x 102 + 8 × 10 + 2 + 1/10 + 2/102 + 7/103 + 4/104, that is, here a2 = 3, a1 = 8,a0 = 2, b1 = 1, b2 = 2, b3 = 7, and b4 = 4. Decimals were already used in the 14th-15th centuries. The Samarkand mathematician Al Kashi described the decimal system in 1427. In Europe, the decimal was introduced by S. Stevin in 1584.

decimal

[′des·məl]
(mathematics)
A number expressed in the scale of tens.

decimal

Meaning 10. The numbering system used by humans, which is based on 10 digits. In contrast, computers use binary numbers because it is easier to design electronic systems that can maintain two states rather than 10.
References in periodicals archive ?
To strengthen the link to decimals and percentages, have your students record the fraction values used in estimating as decimals and percentages.
Billboard adverts went up reminding shoppers to "use it as a 10 shilling note" and the BBC helpfully broadcast a series of five-minute programmes known as Decimal Five while ITV screened Granny Gets The Point, a short drama showing a pensioner being taught by her grandson how to use the new decimal system.
The effect of epistemic fidelity and accessibility on teaching with physical materials: A comparison of two models for teaching decimal numeration.
He added that many stocks priced below Dh1 would see huge fluctuations in share prices; three decimals would allow room for more flexibility on buying and selling.
A comma before the decimal point indicates that you want to show a thousands separator.
There were public discussions over what the new decimal money might be called.
Decimal currency was finally adopted on February 15, 197 when the centuries old tradition of using 12 pence to the shilling and 20 shillings to the pound became history.
5, that represents 1/2 pound, based on the decimal system.
Designed to demonstrate how a single picture book can be used as a preliminary tool to illustrate the growth and development of an idea, it further provides an opportunity to look at a variety of genres and how they can be located in the library media center by utilization of the Dewey decimal call number system.
Trading costs, a key measure of market quality, have declined significantly for retail and institutional investors since the implementation of decimal pricing in 2001.
A credit processing error dropped the decimal point in bills for about 26,000 people staying at Holiday Inn, Holiday Inn Express and Crowne Plaza hotels last week.
New additions to the system include the decimals and resources for teaching decimal concepts in grades 4 and 5.