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For a number to be rational you need to be able to write it as a fraction. To answer your question, it must repeat as a decimal or else terminate which can be thought of as repeating zeroes.

Further, every repeating decimal can be written as a fraction and you can find the fraction by using the formula for the sum of an infinite geometric series.

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โˆ™ 2011-03-16 18:23:20
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Q: Does all the numbers have to repeat in order to be a rational number?
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Is there more rational numbers then irrational?

No. There are infinitely many of both but the number of irrational numbers is an order of infinity greater than that for rational numbers.


How do you order rational numbers when they come in percent forms?

Any percentage is simply a rational number, with the denominator of 100. So multiply them all by 100 and order the resulting rational numbers.


Are there more rational numbers or irrational Numbers?

No. The number of irrationals is an order of infinity greater.


Is the set of all rational numbers continuous?

Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.


What is the order from largest to smallest for whole number integers rational numbers natural number irrational numbers and real numbers?

Such numbers cannot be ordered in the manner suggested by the question because: For every whole number there are integers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every integer there are whole numbers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every rational number there are whole numbers, integers, natural numbers, irrational numbers and real numbers that are bigger. For every natural number there are whole numbers, integers, rational numbers, irrational numbers and real numbers that are bigger. For every irrational number there are whole numbers, integers, rational numbers, natural numbers and real numbers that are bigger. For every real number there are whole numbers, integers, rational numbers, natural numbers and irrational numbers that are bigger. Each of these kinds of numbers form an infinite sets but the size of the sets is not the same. Georg Cantor showed that the cardinality of whole numbers, integers, rational numbers and natural number is the same order of infinity: aleph-null. The cardinality of irrational numbers and real number is a bigger order of infinity: aleph-one.


Are there more rational numbers then irrational?

No. Although the count of either kind of number is infinite, the cardinality of irrational numbers is an order of infinity greater than for the set of rational numbers.


Do irrational numbers contain fewer numbers?

No, the set of irrational numbers has a cardinality that is greater than that for rational numbers. In other words, the number of irrational numbers is of a greater order of infinity than rational numbers.


How can a number line be used to compare rational numbers?

because the # line shows the rational #'s in order from least to greatest


To what set of numbers does the number -3.21 belong to?

The rational numbers, the real numbers and sets of higher order which contain the reals such as the complex numbers.


How to Order rational numbers from least to greatest?

how do u put rational numbers in order from lest to greatest


Is -0.7repeating rational?

Yes. Its rational because you know what number is going to come next. If the numbers were in a random order it would be irrational.


What are the differences of rational numbers and irrational numbers?

Rational and irrational numbers are both real numbers. Rational numbers are those that can be expressed as a ratio of two integers, a/b where b is not 0. An irrational number cannot. Equivalently, a rational number can be expressed as a terminating or recurring decimal, an irrational number cannot. Or more generally, a rational number can be expressed as a terminating or recurring sequence of digits in any integer base (eg binary or hexadecimal), an irrational number cannot. Although there are an infinite number of rationals and irrationals, the order of infinity of irrationals is greater.

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