# 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, = 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.
He said in such situations, euro or decimalisation, the market always won out, adding, ``It's very difficult to raise prices in the market place.
1971: The British old penny and threepenny piece coins ceased to be legal tender as decimalisation continued.
1941: US actor Lee Majors, best known for playing Steve Austin in the Six Million Dollar Man, is 67 today 1968: Britain's " rst decimal coins - the 5p and 10p - were issued in preparation for decimalisation
Decimalisation had arrived and with it came probably the most controversial inflationary period of the British monetary system.
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's the first time since decimalisation in 1971 there's been a revamp to our change.
She also saw the disappearance of the white pounds 5 note and the change from pounds, shillings and pence to decimalisation in 1971.
Everyone going racing is familiar with decimalisation, as this is part of our daily life.
Punters will lose out by this like all decimalisation changes.
DECIMALISATION resulted in a decrease in the buying power of the pound.

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