Decimal fractions in mathematics are rational numbers that are equal to one, as well as to several parts, into which a certain unit is divided. The record of this indicator, as a rule, contains two numbers. The first indicates how much of the fraction the unit was broken in the process of creating the fraction, the second - how many such fractions are included in the obtained fractional number. As for the recording of such an indicator, if it is written in the form of a numerator and a denominator, separated by a bar, then such a format is called an “ordinary” fraction. If numbers are written with a comma, it is called “decimal,” and it will be discussed in this article.
Sometimes a three-story record of numbers, where the numerator is located above the denominator, and between them a line, is not very convenient. This inconvenience began to manifest itself especially strongly with the advent and mass distribution of computers. Decimal fractions do not have this drawback, there is no need to indicate the numerator, since by definition it is always equal to the ten taken in a negative degree. It is for this reason that a fractional indicator can be given the form of a “one line” record. Despite the fact that its length is slightly longer, it is still much more convenient than using ordinary shot.
There is another advantage to lowercase writing. It lies in the fact that decimal fractions in this form are much easier to compare. The reasons for the simplification is that for the implementation of this process it is enough to compare two digits of the same digits. To compare ordinary fractions, attention is drawn to both the denominator and the numerator. This advantage is important not only for a person, but also for a personal computer, since it is quite simple to create a program aimed at comparing such numbers.
Actions such as adding and subtracting decimals have been developed for centuries. They make it possible to carry out the necessary calculations not only on paper, but also in the mind, since it is much easier to add and subtract.
Decimal fractions, written in the lowercase method, separated by commas, have the main purpose - a significant simplification of the calculation process with different mathematical values. But the modern development of technology and the creation of increasingly advanced computing systems make all of these advantages less and less noticeable.
In addition, the described recording form has its drawbacks. For example, in order to record a periodic fraction, decimal fractions are added with a number in brackets, and irrational indicators in the format of a lowercase record almost always have only an approximate value. Again, it is worth mentioning that at the level of human development that is currently being observed, as well as with rapidly developing technologies, the way to designate a number in the form of a decimal fraction is much more convenient than usual.
After some operations with fractional numbers, the result may be an infinite exponent. In order for the result to be more or less clear and for further calculations to be made with it, it is necessary to round off the decimal fractions. First you need to decide to which category it is worth bringing the numerical indicator, and write down the fraction to the next number that comes after this indicator. You can round to thousandths, hundredths, tenths, and even to an integer.
It is also important to know that an ordinary fraction can be converted to decimal without loss of accuracy at all, or up to a certain intended number of decimal digits. It all depends on the ratio of the numerator and denominator.