Question

1. for each scenario, circle one of the three choices below: a. the sum of two rational numbers will be: rational irrational not enough info.

Explanation:

Step1: Recall the definition of rational numbers

A rational number is a number that can be expressed as $\frac{p}{q}$, where $p$ and $q$ are integers and $q
eq0$.

Step2: Consider the sum of two rational numbers

Let the two rational numbers be $\frac{a}{b}$ and $\frac{c}{d}$, where $a,b,c,d$ are integers and $b
eq0$, $d
eq0$. Their sum is $\frac{a}{b}+\frac{c}{d}=\frac{ad + bc}{bd}$. Since $a,b,c,d$ are integers, $ad+bc$ and $bd$ are also integers, and $bd
eq0$ (because $b
eq0$ and $d
eq0$). So the sum $\frac{ad + bc}{bd}$ is also a rational number.

Answer:

Rational