Word Finder - decimal

definition

A number expressed in the base-ten system, a fractional numeral written in this system.

definition

The decimal system itself.

definition

A decimal place.

example

Pi has a value of 3.142, to three decimals.

definition

A decimal point.

definition

To represent with numbers after a decimal point

definition

Concerning numbers expressed in decimal or mathematical calculations performed using decimal.

In these cases the digit itself, or decimal multiples, seem to have been used.

The first national coinage was begun in 1822, and the decimal system was adopted in 1863.

Day of the week is represented by one decimal digit.

When we turn to the social divisions we find in Domesday and other documents classes of society in these districts bearing purely Norse names, dreng, karl, karlman, bonde, thrall, lysing, hold; in the system of taxation we have an assessment by carucates and not by hides and virgates, and the duodecimal rather than the decimal system of reckoning.

Under one system, for instance, the continued sum 5 + X 5 + 8 X 7 X 5 would be denoted 7 by 8 I 5; this is somewhat similar in principle to a decimal notation, but with digits taken in the reverse order.

Even where the decimal notation would seem to arise naturally, as in the case of approximate extraction of a square root, the portion which might have been expressed as a decimal was converted into sexagesimal fractions.

The numbers (integral or decimal) by which we represent the results of arithmetical operations are often only approximately correct.

If the number of decimal places to which a result is to be accurate is determined beforehand, it is usually not necessary in the actual working to go to more than two or three places beyond this.

For multiplication by a proper fraction or a decimal, it is sometimes convenient, especially when we are dealing with mixed quantities, to convert the multiplier into the sum or difference of a number of fractions, each of which has i as its numerator.

Before the introduction of the decimal monetary system the peseta was the fifth part of a peso dare, which was equal to 20 re i/es de velion, or rather more than a 5-franc piece.

The series is formed by successive multiplication, and any antilogarithm to a larger number of decimal places is formed from it in the same way by multiplication.

A sum of money cannot be expressed exactly as a decimal of LI unless it is a multiple of 4d.

Division by a Mixed Number.-To divide by a mixed number, when the quotient is seen to be large, it usually saves time to express the divisor as either a simple fraction or a decimal of a unit of one of the denominations.

A better method is to ignore the positions of the decimal points, and multiply the numbers as if they were decimals between I and i o.

Thus, 0859 to multiply 2 7.343 by 3.14159 2 7 to one decimal place, we require 2+ I+ I =4 figures in the product.

The result is 085.9 = 8 5.9, the position of the decimal point being determined by counting the figures before the decimal points in the original numbers.

A decimal is of course a series of this kind, e.g.

The system is decimal throughout.

In these carefully written papers he treats a great variety of topics relating to astronomy, chronology, decimal coinage, life assurance, bibliography and the history of science.

Considerable labour was spent by De Morgan upon the subject of decimal coinage.

His evidence on this subject was sought by the Royal Commission, and, besides constantly supporting the Decimal Association in periodical publications, he published several separate pamphlets on the subject.

Its usefulness arises from its decimal or centesimal division, and the fact that to square chains make an acre.

It was also proposed to divide the day on the decimal system, but this arrangement was found to be highly inconvenient and it was never put into practice.

A Decimal Association was formed in 1854, but did not make very much headway.

Currencv, Weidhts and Measures.The metric system of weights and measures was officially adopted in Spain in 1859 and the decimal monetary system in 1871.

Most of Quinn's numbers carried out four decimal points, such as "44.9064" but others extended as high as six places.

Scotch salmon at Billingsgate was then fetching 2s 6d [15p in decimal coinage] a pound wholesale.

During the 1960s the Irish government decided to adopt a decimal currency like many of its European neighbors.

You can do this using either decimal or hex numbers.

A PL /SQL function to convert decimal to hex is described in a separate note.

The PRM says " Use of this expanded format allows conversion from extended precision to packed decimal and back again without loss of accuracy.

An exact decimal is a decimal number that does not go on forever.

Hindu counting system was purely decimal and distinct symbols for the numbers 1 - 9 existed already.

Large results - where the number of digits to the left of the decimal point exceeds the current setting of numeric digits.

The only decimal separator known to javascript (new releases possibly excepted) is the decimal point, " .

In the example you quote £ 10.31 the " .31 " is a decimal fraction of a pound, not of the pence.

It is not, generally, possible to use hexadecimal or decimal constants in this fashion.

They take numbers as decimal unless starting with 0x (or 0X ), meaning hexadecimal; a leading zero does not mean octal.

Note the way that decimal and octal integers are read in by grammar rules.

The skip argument is normally interpreted as a posi- tive decimal integer.

The Astronomical Almanac reports the galactic latitude of the object in decimal degrees.

The Astronomical Almanac reports the galactic longitude of the object in decimal degrees.

The Astronomical Almanac reports the ecliptic longitude of the object in decimal degrees.

We shall use decimal notation for units in this module.

I can calculate pi in my head to over six hundred decimal places.

An object of diameter 1 meter would only improve the error to give pi to about 1 more decimal place.

This is silly, as you might well want to give the decimal value for a low-end wingding or other symbol.

The logarithms introduced by Napier in the Descriptio are not the same as those now in common use, nor even the same as those now called Napierian or hyperbolic logarithms. The change from the original logarithms to common or decimal logarithms was made by both Napier and Briggs, and the first tables of decimal logarithms were calculated by Briggs, who published a small table, extending to 1000, in 1617, and a large work, Arithmetica Logarithmica, 1 containing logarithms of numbers to 30,000 and from 90,000 to Ioo,000, in 1624.

To Napier seems to be due the first use of the decimal point in arithmetic. Decimal fractions were first introduced by Stevinus in his tract La Disme, published in 1585, but he used cumbrous exponents (numbers enclosed in circles) to distinguish the different denominations, primes, seconds, thirds, &c. Thus, for example, he would have written 123.456 as 123@4050603.

This single instance of the use of the decimal point in the midst of an arithmetical process, if it stood alone, would not suffice to establish a claim for its introduction, as the real introducer of the decimal point is the person who first saw that a point or line as separator was all that was required to distinguish between the integers and fractions, and used it as a permanent notation and not merely in the course of performing an arithmetical operation.