Question

is the number -4 + π rational or irrational? rational irrational

Explanation:

Step1: Recall rational/irrational definitions

A rational number can be expressed as $\frac{p}{q}$ (p, q integers, $q
eq0$). Irrational numbers can't.

Step2: Analyze $-4$ and $\pi$

$-4$ is rational (as $-4=\frac{-4}{1}$). $\pi$ is irrational (can't be expressed as $\frac{p}{q}$).

Step3: Analyze sum of rational and irrational

The sum of a rational number and an irrational number is irrational. So $-4 + \pi$ (rational + irrational) is irrational.

Answer:

irrational