Question

classify the numbers as rational or irrational. -2, -10, -2 + -10, -2 · -10. 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 $q = 1$).

Step2: Analyze $-2$

$-2=\frac{-2}{1}$, so it is rational.

Step3: Analyze $-10$

$-10=\frac{-10}{1}$, so it is rational.

Step4: Analyze $-2 + (-10)$

Calculate: $-2+(-10)=-12=\frac{-12}{1}$, rational.

Step5: Analyze $-2\cdot(-10)$

Calculate: $-2\times(-10) = 20=\frac{20}{1}$, rational.

Answer:

rational: $-2$, $-10$, $-2 + (-10)$, $-2\cdot(-10)$
irrational: (empty, no irrational numbers here)