Question

classify the numbers as rational or irrational.
6 π 6 + π 6·π
rational irrational

Explanation:

Step1: Recall rational/irrational definitions

A rational number can be expressed as $\frac{p}{q}$ (p, q integers, q≠0). An irrational number cannot, like $\pi$.

Step2: Classify 6

6 is an integer, so $6 = \frac{6}{1}$, rational.

Step3: Classify $\pi$

$\pi$ is irrational (non - repeating, non - terminating decimal).

Step4: Classify $6 + \pi$

Sum of rational (6) and irrational ($\pi$) is irrational.

Step5: Classify $6 \cdot \pi$

Product of non - zero rational (6) and irrational ($\pi$) is irrational.

Answer:

rational: 6
irrational: $\pi$, $6 + \pi$, $6 \cdot \pi$