because the # line shows the rational #'s in order from least to greatest
how do u put rational numbers in order from lest to greatest
It may be simplest to convert them all to a common form: rational fractions, decimal fractions or percentages and then compare them. When you are more expert, you may be able to convert them pairwise into a common basis and compare.
No. There are infinitely many of both but the number of irrational numbers is an order of infinity greater than that for rational numbers.
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.
because the # line shows the rational #'s in order from least to greatest
Write them as decimals, and compare. If the first digit of two numbers is equal, compare the second digit; if the second digit is equal, compare the third digit, etc.
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.
how do u put rational numbers in order from lest to greatest
It may be simplest to convert them all to a common form: rational fractions, decimal fractions or percentages and then compare them. When you are more expert, you may be able to convert them pairwise into a common basis and compare.
Any percentage is simply a rational number, with the denominator of 100. So multiply them all by 100 and order the resulting rational numbers.
Yes.
No. There are infinitely many of both but the number of irrational numbers is an order of infinity greater than that for rational numbers.
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.
5 < 8 1/2
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.
No. The number of irrationals is an order of infinity greater.