decimal


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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.
ADX, which trades in dirhams, still maintains two decimals.
If you want to have your decimal points always line up, consider replacing the # with a question mark (?
Reserve Bank Head of Currency Alan Boaden said the idea of switching New Zealand to decimal currency was raised in 1933 by the New Zealand Numismatic Society.
The 9d admission to a cinema in those far off days was equal to 4p mentioned in the letter, but this equation was only correct throughout 1971 when decimal currency took over.
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.
Numeric Filing discusses advantages and disadvantages of consecutive, middle-digit, terminal-digit, chronologic, decimal, duplex-numeric, and block-numeric filing systems and gives examples.