beespokkerq8

2023-03-09

How do irrational numbers differ from rational numbers?

Gregory Ferguson

For certain integers p and q (where $q\ne 0$), rational numbers can be represented in the manner $\frac{p}{q}$. Since $n=\frac{n}{1}$ for every integer, it should be noted that this covers numbers. A few examples of rational numbers include 5, $\frac{1}{2}$, $\frac{17}{3}$, and $-\frac{7}{2}$. An irrational number is any other Real number. $\sqrt{2}$, $\pi$, and e are a few examples of irrational numbers. If x is a rational number, then the decimal expansion of x will either end or repeat.
As an illustration, $\frac{213}{7}=30.428571428571...$, which we might represent as 30. (428157).
The decimal expansion of an irrational number will neither terminate nor recur. For instance, $\pi$ = 3.141592653589793238462643383279502884...

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