Question

classify the numbers as rational or irrational. -10, -8, -10 + -8 rational irrational

Explanation:

Step1: Recall rational number definition

A rational number is a number that can be expressed as $\frac{p}{q}$, where $p$ and $q$ are integers and $q
eq0$. Integers are rational since we can write them as $\frac{\text{integer}}{1}$.

Step2: Analyze -10

-10 is an integer. We can write it as $\frac{-10}{1}$, so it is rational.

Step3: Analyze -8

-8 is an integer. We can write it as $\frac{-8}{1}$, so it is rational.

Step4: Analyze $-10 + (-8)$

First, calculate $-10 + (-8)=-18$. -18 is an integer, and we can write it as $\frac{-18}{1}$, so it is rational.

Answer:

rational: -10, -8, -10 + (-8)
irrational: (empty, no irrational numbers here)