Decimal fractions in mathematics are rational numbers that are equal to one, and a few shares, which is divided into a certain unit.Recording this index typically contains two numbers.The first indicates the extent to which it shares broke in the process of creating a unit fraction, the second - a number of these shares is included in the resulting fractional number.With regard to the recording of this indicator, if it is written in the form of the numerator and the denominator separated by a bar, then this format is called "common" fractions.If the record numbers through comma, it is called "decimal", and it is about her and will be discussed in this article.
sometimes three-story entry numbers, the numerator of which is located above the denominator, and between them hell, is not very convenient.This inconvenience was particularly strongly manifest itself with the advent and massive spread of computers.Decimals not have this drawback, there is no need to specify the numerator, since by definition it is always taken as a negative power of ten.It is for this reason that fractional exponents can give the appearance of the recording "in a single line."Despite the fact that its length is a little more, it is still much easier than using an ordinary shot.
There is another advantage of the horizontal recording.It lies in the fact that the decimals in this way is much easier to compare.Reasons simplicity lies in the fact that the implementation of the process is sufficient to compare the two figures at the same places.For comparison, the ordinary fraction drawn attention to the denominator and the numerator.This advantage is important not only for humans but also for the personal computer as simply create a program aimed at comparing these numbers.
Activities such as addition and subtraction of decimals developed centuries.They make it possible to carry out the necessary calculations, not only on paper but also in the mind, because it is much easier are added and subtracted.
decimals lowercase recorded by a comma, are the main purpose - a significant simplification of calculations with different mathematical values.But the modern development of technologies and ever more sophisticated computer systems all of the benefits of doing less and less noticeable.
addition, describes the shape of the recording has its drawbacks.For example, to record periodic fractions, decimals are added to the number in parentheses, and unsustainable performance in horizontal format recording almost always have only an approximate value.Again, it is worth mentioning that at this level of human development, which is observed at the moment, as well as rapidly developing technologies, the way registration numbers in decimal form is much more convenient than usual.
After some operations with fractional numbers, the result may be an infinite measure.In order to be more or less clear result, and that it was possible to him to carry out further calculations, it is necessary to make the rounding decimals.First we need to decide to what discharge is to bring the numerical index, and record shot to the next number that comes after this indicator.Rounding possible to thousandths, hundredths, tenths, and to the whole number.
also important to know that the common fractions can be converted to decimal without any loss of accuracy or up to a certain number of characters conceived affixed after the decimal point.It all depends on the ratio of the numerator and denominator.
