Question

Classify the numbers as rational or irrational by dragon the number under the correct category

Answer 1

For this problem, we are given a series of numbers and we need to determine if they are rational or irrational.

Rational numbers are those that can be represented as a fraction, while irrational ones can't.

The numbers are:

`√(9),(4)/(5),-9,5,(1)/(3),√(5),0.23,√(20),\pi`

Let's represent each as a fraction:

`\begin{gathered} √(9)=3\rightarrow\text{ rational} \\ (4)/(5)\rightarrow\text{ rational} \\ -9\rightarrow\text{ rational} \\ √(5)=2.23606...\rightarrow\text{ irrational} \\ 0.23=(23)/(100)\rightarrow\text{ rational} \\ √(20)=4.4721359...\rightarrow\text{ irrational} \\ \pi\rightarrow\text{ irrational} \end{gathered}`

The rational numbers are:

`√(9),(4)/(5),-9,0.23`

The irrational numbers are:

`√(5),√(20),\pi`