With the name of Rounding (or truncation) is known as the action of reducing the number of decimal places that a non-integer number has, reducing as many decimal places as the user decides from a strictly defined method. For instance: 3.9, expressed without any decimal, 4; 0.5, expressed without any decimal, 1; 32.49, expressed to one decimal place, 32.5.
On occasions, we proceed to remove decimals entirely, transforming a number that is not decimal into an integer. It is important to clarify that eliminating the ‘0’ decimals that appear at the end does not correspond to the rounding process, since the convention states that they are automatically eliminated there, and including them is only done by intentional action.
In the field of math It is commonly used in the framework of formal mathematical analysis and calculus, which involves accounts, equations, and analytical processes of various kinds.
However, Applications Of these processes are diverse and point to multiple areas, among which are issues much more linked to everyday life. In these cases, as the extreme accuracy of the results is not so important, but rather the usefulness for which they are incorporated, elements not so intrinsic to mathematics such as approximations or rounding appear.
The act of rounding It implies transforming one number into another, which by the basic mathematical notions of the number rule will imply transforming it into a number greater or less than him. The cases that support rounding assume that the decimals that are omitted are less important than the practical convenience of not appearing. This is why, depending on the case, the number of decimals that are chosen to be omitted will be different.
In any circumstance, however, the process to carry out the rounding is the same: the first thing to do is select the number of decimal places that you want to include. Then, the decimal after the last one that you want to leave is observed, and it is compared: if it is a number less than 5, the previous decimal will persist the same (the number being rounded less than the one without rounding), on the other hand if the The observed decimal is greater than or equal to 5 is that the previous one is increased by one to return it as rounded. This will imply that the rounded number will be greater than the one that did not undergo the process, and has a particular circumstance: if the number that must be increased by one is 9, then it goes to 10, increasing the previous digit by one, and thus eliminating one more decimal from the the one intended by rounding.
A typical circumstance of rounding is in the case of periodic numbers. There, the infinity in the decimal digits means that unless you want to use the symbol of the newspapers, the number must necessarily be rounded.
In the case of the expression of two-thirdsFor example, rounding is produced by choosing the number of digits to be displayed and placing the number six up to one before that, and the last number 7, since it is the abbreviation ‘6’ towards infinity. If you want to round without any decimal places, however, the rounding will give 1.
Examples of rounding decimals
- 3.9, expressed without any decimal, 4.
- 7.1, expressed without any decimal, 7.
- 0.5, expressed without any decimal, 1.
- 512.312513513, expressed to six decimal places, 512.312514.
- 124,562, expressed without any decimal places, 125.
- 2002.5, expressed without any decimal places, 2003.
- 913.009, expressed with a decimal, 913.0 (the 0 is included by the explicit search to express it with a decimal).
- 313,948, expressed to two decimal places, 313.95.
- 31.13, expressed to one decimal place, 31.1.
- 0.94, expressed without any decimal, 1.
- 88.19, expressed to one decimal place, 88.2.
- 777.77777777, expressed without any decimal, 778.
- 304.698, expressed to two decimal places, 305.70 (0 is included by the decision to express it to two decimal places)
- 32.49, expressed to one decimal place, 32.5.
- 617.824917, expressed to four decimal places, 617.8249.