Respuestas
Respuesta:
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)
Explicación paso a paso:
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Respuesta:
Rational numbers are all numbers that can be expressed as a fraction.
Explicación paso a paso:
That is, as the quotient of two whole numbers. The word 'rational' derives from the word 'reason', which means proportion or quotient. For example: 1, 50, 4.99, 142.
In the mathematical operations that are done daily to solve everyday questions, almost all the numbers that are handled are rational, since the category includes all whole numbers and a large part of those that have decimals.
Both rational and irrational fractional numbers (their counterpart) are infinite categories. However, these behave differently: rational numbers are understandable and, as they can be represented by fractions, their value can be approximated with a simply mathematical criterion, this is not the case with irrational numbers.
It can help you: Improper fractions
Examples of rational numbers
Rational numbers are listed here as an example. In the cases of these being fractional numbers, their expression is also indicated as a quotient:
142
3133
10
31
69.96 (1749/25)
625
7.2 (36/5)
3,333333 (10/3)
591
86.5 (173/2)
eleven
000,000
41
55.7272727 (613/11)
9
8.5 (17/2)
818
4.52 (113/25)
000
11.1 (111/10)
Most of the operations that are carried out between rational numbers necessarily result in another rational number: this does not happen, as we have seen, in all cases, as in the operation of radication and not of empowerment.
Other typical properties of rational numbers are the equivalence and order relations (the possibility of realizing equalities and inequalities), as well as the existence of inverse and neutral numbers.
The three most important properties are:
The associative
The distributive
The commutative
These are simply demonstrable from the inherent condition of all rational numbers to be able to be expressed as quotients of whole numbers.