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Rational numbers are (basically) fractions. You can compare any two fractions by converting them to fractions with a common denominator, and then comparing their numerators.You can also convert them to their decimal equivalent (just divide numerator by denominator); that also makes them fairly easy to compare.
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIt is one of the properties of rational numbers that this can be done.
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How to Order rational numbers from least to greatest?
how do u put rational numbers in order from lest to greatest
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.
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.
Is there rational numbers than irrational?
There are infinitely many rational numbers and irrational numbers but the cardinality of irrationals is larger by an order of magnitude.If the cardinality of the countably infinite rational numbers is represented by a, then the cardinality of irrationals is 2^a.
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.
Are there more rational numbers or irrational Numbers?
No. The number of irrationals is an order of infinity greater.
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 I order rational numbers from least to greatest?
There are several ways: convert them all into decimal (or percentage) notation and order these. Or subtract the rational numbers in pairs. If the answer is positive then the first of the two is larger.
How can you interpret thr ordering of rational numbers in real world situations?
In the real world you can use the order of rational numbers. This is used a lot in math.
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.
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.
How can a number line be used to compare rational numbers?
because the # line shows the rational #'s in order from least to greatest
