# 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 ?
I am convinced that we use the number system to the base ten because we all learn to count using our fingers and thumbs.
We first started talking to the company about six months ago and we carried out a great deal of due diligence in March when Select announced exclusive merger negotiations with Base Ten.
the representative of the group of Base Ten Systems shareholders who had filed a Statement on Schedule 13D initially on April 6, 1999, announcing their opposition to Base Ten's former management, stated that, "In view of the significant management changes that have taken place at Base Ten Systems, Inc.
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The mathematics section covers operation and algebraic thinking, number and operations in base ten, number and operations-fractions, measurement, data, and geometry.
Select Software Tools Inc, the Irvine, California modeling tools maker, has failed to sign a deal on its proposed merger with Base Ten Systems Inc, a Trenton, New Jersey medical systems developer.
Vigilar's acquisition of Intense School increases Vigilar's customer base ten fold, bringing the total number of Vigilar clients to more than 20,000.
But somehow Select Software, the ailing UK turned US application development software house and Base Ten Systems, an equally troubled supplier of manufacturing execution systems, believe a union could rescue each from its respective quagmire and simultaneously restore shareholders' lost confidence in Base Ten.
He most recently served as manufacturing manager at Base Ten Systems, Inc.
Klinsport, chairman and chief executive officer of Base Ten, said "This development may have a negative impact on the liquidity and market price of our Class A common stock but is not expected to have any effect on the Company's financial position or performance.

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