decimal

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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 ?
Also called a tanner, the sixpence remained a popular coin in the years after decimalisation, and its converted value of 2.
My fear is that decimalisation will enable the on-course bookmaker to offer prices that directly mirror the exchanges without the commission, and margin will be decimated.
I'm used to the old fractions but I realise decimalisation is here.
On February 15, 1971, decimalisation started and the process to replace the threepenny piece, the tanner, florin, half-crown and 10-bob note began.
It should lead to a leaner and more customer-friendly 2011 October Sale when Tattersalls could perhaps also make the ultimate modernisation and, 40 years after decimalisation, start selling in pounds rather than guineas.
The trouble I have with decimalisation is I just can't see the point.
The discontented conversations around the pairing boards had distinct echoes of those which occurred in February 1971 when decimalisation was introduced.
1971: The British old penny and threepenny piece coins ceased to be legal tender as decimalisation continued.
How can this be so, when decimalisation didn't come in for a couple of years after that
Decimalisation had arrived and with it came probably the most controversial inflationary period of the British monetary system.
The Royal Mint announced plans to re-design six of the eight coins for the first time since decimalisation in 1971.
As we found out during decimalisation, and some of our EU partners discovered when they adopted the euro, if you change the currency prices are always rounded up, not down.