1. The problem is to draw the number line for the set $\mathbb{Q}_1$, which typically refers to the set of rational numbers with a certain property or subset. 2. Since the user did not specify a particular subset or property for $\mathbb{Q}_1$, we assume it means the set of all rational numbers $\mathbb{Q}$. 3. The number line for $\mathbb{Q}$ includes all points that can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$. 4. Important rules: - Rational numbers are dense on the number line, meaning between any two rational numbers, there is another rational number. - The number line is continuous and extends infinitely in both directions. 5. To represent $\mathbb{Q}$ on a number line, we mark points corresponding to fractions like $0$, $\frac{1}{2}$, $-\frac{3}{4}$, $1$, $2$, etc. 6. Since the set is infinite and dense, the number line is a continuous line with infinitely many rational points. Final answer: The number line for $\mathbb{Q}_1$ is the entire real number line with all rational points marked, showing density and infinite extent.