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QUESTION IMAGE

classify the numbers as rational or irrational. -2 $pi$ $-2 + pi$ ratio…

Question

classify the numbers as rational or irrational.
-2
$pi$
$-2 + pi$
rational
irrational

Explanation:

Step1: Define rational numbers

A rational number can be written as $\frac{p}{q}$ where $p,q$ are integers, $q
eq0$.

Step2: Classify -2

$-2 = \frac{-2}{1}$, fits rational definition.

Step3: Classify $\pi$

$\pi$ has non-repeating, non-terminating decimal, so irrational.

Step4: Classify $-2+\pi$

Sum of rational and irrational is irrational.

Answer:

rational: $-2$
irrational: $\pi$, $-2+\pi$