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Is 5.010010001 continuing in that pattern infinitely rational and how can you convert it to a fraction?
Wiki User
∙ 10y ago
5.01001000100001... is not a rational number. Rational numbers will always repeat when written in a digital form.
Since it is not rational, it cannot be written as a fraction with integer numerator and denominator.
Wiki User
∙ 10y ago
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Is 5 over 2 an irrational number?
No, actually 2/5 is equal to .4 which is perfectly rational. Irrational numbers have an infinitely long decimal expansion. This is just one digit. Any rational number divided by any other rational number gives another rational number. Having an infinitely long decimal expansion is a necessary but not sufficient criterion for irrationality... for example, 1/3 is rational, though its decimal expansion is the infinitely long 0.33333333...
Do rational numbers have the density property?
Yes. They are infinitely dense. That is, there are infinitely many rational number between any two numbers.
Is the set of rational numbers finite?
No; there are infinitely many rational numbers.
Does 13 over 57 have an equivalent fraction?
Any rational fraction has infinitely many equivalent fractions. Multiply both the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer. You will have an equivalent fraction.
Numbers that are rational but not integers?
There are an infinitely many amount. An integer is a whole number, e.g. the number 7. A rational number is one that can be written as a fraction. 7 is a rational number, because it can be written as 7/1. But the number 7/9 is rational, but not an integer because it is not a whole number.
What is the next fraction of 1?
Rational numbers are infinitely dense so there is no "next" fraction. Given any number, x, with a claim to being the "next" fraction after 1, there are infinitely many between 1 and x.
What is the rational number?
There are infinitely many rational numbers and, in decimal form, most of them have infinitely many digits. So there cannot be a longest rational number.
How many rational numbers are there?
There are infinitely many rational numbers.
How many rational numbers are there between 0 and 5?
Infinitely many. Between any two different real numbers (not necessarily rational) there are infinitely many rational numbers, and infinitely many irrational numbers.
What fraction is next to the number one on a number line?
Rational numbers are infinitely dense so there is no "next" fraction. There are infnitely many fractions between any two numbers. And there are infinitely more between any two of them, and so on.
Is 5 over 2 an irrational number?
No, actually 2/5 is equal to .4 which is perfectly rational. Irrational numbers have an infinitely long decimal expansion. This is just one digit. Any rational number divided by any other rational number gives another rational number. Having an infinitely long decimal expansion is a necessary but not sufficient criterion for irrationality... for example, 1/3 is rational, though its decimal expansion is the infinitely long 0.33333333...
Do rational numbers have the density property?
Yes. They are infinitely dense. That is, there are infinitely many rational number between any two numbers.
Is the set of rational numbers finite?
No; there are infinitely many rational numbers.
Does 13 over 57 have an equivalent fraction?
Any rational fraction has infinitely many equivalent fractions. Multiply both the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer. You will have an equivalent fraction.
What is the longest rational number?
There are infinitely many rational numbers and, in decimal form, most of them have infinitely many digits. So there cannot be a longest rational number.
How many rational numbers can be inserted between two given rational numbers?
Infinitely many.Infinitely many.Infinitely many.Infinitely many.
If the denominator of a fraction is rational then the fraction is rational?
That is not true.
