Question

classify the numbers as rational or irrational.
3
6
3·6
rational
irrational

Explanation:

Step1: Recall definitions

A rational number is a number that can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers and $q
eq0$. Integers, terminating decimals, repeating decimals are rational. Irrational numbers cannot be expressed as such, e.g., non - repeating non - terminating decimals, $\sqrt{2}$, $\pi$ etc.

Step2: Classify 3

The number 3 is an integer. We can write $3=\frac{3}{1}$, where $p = 3$ and $q=1$ are integers and $q
eq0$. So, 3 is a rational number.

Step3: Classify 6

The number 6 is an integer. We can write $6=\frac{6}{1}$, where $p = 6$ and $q = 1$ are integers and $q
eq0$. So, 6 is a rational number.

Step4: Classify $3\cdot6$ (which is 18)

The number 18 is an integer. We can write $18=\frac{18}{1}$, where $p=18$ and $q = 1$ are integers and $q
eq0$. So, $3\cdot6 = 18$ is a rational number.

Answer:

rational: 3, 6, $3\cdot6$
irrational: (empty, as all given numbers are rational)