Decimals in mathematics arerational numbers that are equal to one, as well as 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 the unit was divided during the creation of the fraction, the second - how many such shares are included in the fractional number. As for the record of such an indicator, if it is written in the form of a numerator and a denominator, separated by a line, then such a format is called "ordinary" fraction. If a number is written with a comma, it is called "decimal," and this is what will be discussed in this article.
Sometimes a three-story number entry, where the numeratorlocated above the denominator, and between them a feature, is not very convenient. This inconvenience especially began to manifest itself with the advent and mass distribution of computers. Decimal fractions do not have this disadvantage, there is no need to specify the numerator, since by definition it is always equal to the ten taken in the negative degree. It is for this reason that the fractional index can be given the form of a "one-line" entry. Despite the fact that its length is slightly larger, it is still much more convenient than using ordinary shot.
There is one more advantage of line entry. It is that decimals in this form are much easier to compare. The reasons for simplicity are that to perform this process it is enough to compare two digits in the same digits. To compare the ordinary fraction, attention is drawn both to the denominator and to the numerator. This advantage is important not only for a person, but also for a personal computer, as it is quite simple to create a program aimed at comparing such numbers.
Such actions as addition and subtractiondecimals have been worked out for centuries. They make it possible to carry out the necessary calculations not only on paper, but also in the mind, since they are much easier to add and subtract.
Decimal fractions written in the lower-case methodthrough 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 sophisticated computing systems all of the listed advantages makes it all the less noticeable.
In addition, the described form of recording has its ownlimitations. For example, in order to record a periodic fraction, decimal fractions add up with the number in parentheses, and non-rational parameters in the format of line-in record almost always have only an approximate value. Again, it is worth mentioning that at such a level of development of a person that is observed at the moment, as well as with rapidly developing technologies, the way to design a number in the form of a decimal fraction is much more convenient than the ordinary one.
After some operations with fractional numbersthe result can be an infinite indicator. In order for the result to be more or less understandable and for further calculations to be possible with it, it is necessary to round off the decimals. To begin with, you need to decide which bit is worth bringing the numerical value to, and write the fraction to the next number that follows this indicator. You can round up to thousandths, hundredths, tenths, and even to the whole number.
It is also important to know that an ordinary fraction canbe converted to decimal in general without loss of accuracy or to the accuracy of a certain conceived number of signs placed after the decimal point. Everything depends on the ratio of the numerator and the denominator.</ p>