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ReneA rational number is one that can be expressed as a ratio of two integers: thus x = p/q where q is not zero. An irrational number cannot be expressed in such a way.
One consequence is that a rational number, in decimal form, is either a terminating decimal or an infinite recurring decimal. An irrational number has an infinite decimal from that is non-repeating.
Examples of rational numbers: 2, -3/4, -3.756, 18.23464646.. (recurring)
Examples of Irrational Numbers: sqrt(2), pi, phi (the Golden Ratio), e (Euler's number) as well as their negatives.
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What is the difference between rational and irrational?
rational and irrational
List of rational and irrational numbers?
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
Are there irrational numbers between rational numbers?
Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
How many rational numbers are between 1 and 101?
Infinitely many. In fact, between any two different real numbers, there are infinitely many rational numbers, and infinitely many irrational numbers. (More precisely, beth-zero rational numbers, and beth-one irrational numbers - that is, there are more irrational numbers than rational numbers in any such interval.)
What is the difference between directed number and integers?
Directed numbers have a positive or negative sign associated with them. (The positive sign may be implied). They can be rational fractions (including mixed numbers) or irrational. Integers cannot be fractions or irrational.
