| rdfs:comment
| - In mathematics, a Rational Number is any number that looks simple. This is in comparison to other kinds of numbers, such as complex numbers and irrational numbers (sometimes called superstitious numbers). Unsurprisingly, women, creationists (note: all creationst numbers are irrational) and conservative numbers are also frequently shown to be irrational. but there are of course a few irrational numbers that are liberal or men, the most notable being (who is a libertarian and has written a few books about how creationist numbers are always irrational).
- A rational number is any real number which may be represented by the quotient such that are integers and . When represented as a decimal, a rational number has a repeating decimal representation (as opposed to irrational numbers, which have a nonrepeating nonterminating decimal representation) (for example, and , where the overbar indicates the portion of the decimal which repeats) which may include a repeating 0 (e.g., ) that results in a terminating decimal (e.g., 0.5). Thus, a terminating decimal is in fact a repeating decimal in which the repeating portion is 0.
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| abstract
| - A rational number is any real number which may be represented by the quotient such that are integers and . When represented as a decimal, a rational number has a repeating decimal representation (as opposed to irrational numbers, which have a nonrepeating nonterminating decimal representation) (for example, and , where the overbar indicates the portion of the decimal which repeats) which may include a repeating 0 (e.g., ) that results in a terminating decimal (e.g., 0.5). Thus, a terminating decimal is in fact a repeating decimal in which the repeating portion is 0. Every rational number of the form has an equivalent repeating decimal representation as described above. This is due to the finite number of whole-number remainders possible for any divisor . The divisor has a set of exactly possible remainders, . When computing a decimal using long division, a given remainder multiplied by 10 real and divided by will result in the same or another remainder of . As there are only a finite number of remainders, the process of long division is guaranteed to come back to a previously used remainder, which causes the sequence of remainders to cycle from that remainder. The set of rational numbers (represented as ) is closed for the four fundamental arithmetic operations: addition, subtraction, multiplication and division. Because the set of integers is closed for addition, subtraction, and multiplication, operations involving rational numbers may be represented as the quotient of two sets of closed integer operations. For example, given two rational numbers with quotient forms and ,
* Addition:
* Subtraction:
* Multiplication:
* Division: Real numbers which are not rational are defined to be irrational numbers
- In mathematics, a Rational Number is any number that looks simple. This is in comparison to other kinds of numbers, such as complex numbers and irrational numbers (sometimes called superstitious numbers). Unsurprisingly, women, creationists (note: all creationst numbers are irrational) and conservative numbers are also frequently shown to be irrational. but there are of course a few irrational numbers that are liberal or men, the most notable being (who is a libertarian and has written a few books about how creationist numbers are always irrational).
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