# 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 ?
These authors find that decimalization has led to significantly lower spreads and also lower quoted depth.
Higher rates of price improvement are consistent with the fact that decimalization makes it easier for traders to step in front of the current best bid or ask to take the other side of a market order.
25 and fall to around 2 cents after decimalization.
For stocks in all categories, decimalization has led to a decline in average bid--ask spreads.
The narrowing of bid--ask spreads following decimalization illustrated in figures 1 and 2 has been accompanied by a decline in average depth at the posted prices.
The statistics reported in the previous section confirm that decimalization has led to both a decline in spreads and a decline in depth.
These coefficients measure the price impact of a trade in the two weeks prior to decimalization.
The last three columns summarize the results for the decimalization period.
The preceding results suggest that decimalization led to increased liquidity for virtually all stocks that trade at least once per minute.
In equation 3, I have extended the previous regression equation by allowing the price impact of a trade, both before and after decimalization, to differ depending on whether the trade is large.
The first three columns of panel A in table 3 report statistics for regular trades prior to decimalization.
Average price impacts of regular trades fell following decimalization for virtually all stocks trading at least once each minute.

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