Rational numbers are numbers that can be expressed as a fraction of two integers. For example, 2/3, 8/27, and 4/1 are all rational numbers. In decimal form, those three numbers would be written as .66666666666... (I'm using the "..." to represent the fact that those 6's after the decimal point continue on forever), .296296296296296..., and 4, respectively. Notice how those three numbers, when written in decimal form, either repeat some pattern after their decimal point, or end. This is, in fact, the case for every rational number; they either terminate, or they have an infinite amount of some repeating number or group of numbers after their decimal point.
Irrational Numbers differ from rational numbers in that none of the above apply; i.e., they can't be expressed as a fraction of two integers, they don't repeat indefinitely, and they don't end. A couple of famous examples of irrational numbers are pi and the square root of two.
rational and irrational
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
There is no number which can be rational and irrational so there is no point in asking "how".
-- 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.
The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.
No. sqrt(3) - sqrt(2) is irrational.
All natural numbers are rational numbers. No irrational numbers are natural numbers.
Yes. 2+sqrt(3) and 5+sqrt(3). Their difference is 3, which is rational.
Yes.
yeah ma.