In some cases, the exact number when dividing a certain amount by a specific number cannot be determined in principle. For example, when dividing 10 by 3, we get 3.3333333333 ... ..3, that is, this number cannot be used to count specific items in other situations. Then this number should be reduced to a certain category, for example, to a whole number or to a number with a decimal digit. If we bring 3.3333333333… ..3 to an integer, we get 3, and reducing 3.3333333333… ..3 to the number with a decimal digit, we get 3.3.

## Rounding Rules

What is rounding? This is dropping a few numbers that are the last in the series of exact numbers. So, following our example, we discarded all the last digits to get an integer (3) and discarded the digits, leaving only tens of digits (3.3). The number can be rounded to the hundredth and thousandths, ten thousandths and other numbers. It all depends on how accurate the number is to get. For example, in the manufacture of medicines, the amount of each of the ingredients of a medicine is taken with the greatest precision, since even a thousandth of a gram can be fatal.If it is necessary to calculate the student’s progress in school, the most frequently used number is with a decimal or a hundredth digit.

Consider another example in which rounding rules apply. For example, there is the number 3.583333, which must be rounded to the thousandth - after rounding, after the comma we should have three digits, that is, the result will be the number 3.583. If this number is rounded to the tenth, then we will get not 3.5, but 3.6, since after “5” the number “8” stands, which is equal to already “10” during rounding. Thus, following the rules for rounding numbers, you need to know that if the number is greater than "5", then the last digit to be saved will be increased by 1. Such rules for rounding numbers apply regardless of whether up to a whole number or up to tens, hundredths, etc. it is necessary to round the number.

In most cases, if it is necessary to round the number in which the last digit is “5”, this process is performed incorrectly. But there is also a rounding rule that applies to such cases. Consider an example.It is necessary to round the number 3.25 to the tenth. Applying the rules of rounding numbers, we get the result of 3.2. That is, if after “five” there is no digit or zero, then the last digit remains unchanged, but only if it is even — in our case “2” is an even digit. If we needed to round out 3.35, the result would be the number 3.4. Because, in accordance with the rounding rules, if there is an odd digit before the “5” that needs to be removed, the odd digit increases by 1. But only if there are no significant digits after “5”. In many cases, simplified rules can be applied, according to which, if there are numbers from 0 to 4 behind the last digit stored, the digit stored does not change. If there are other digits, the last digit is increased by 1.

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