Question

plot the numbers $-2\frac{5}{6}$ and $\frac{2}{3}$ on the number line below.

Explanation:

Step1: Analyze number line intervals

Each integer interval (e.g., 0 to 1, -2 to -3) is divided into 6 equal parts, so each tick mark represents $\frac{1}{6}$.

Step2: Locate $-2\frac{5}{6}$

$-2\frac{5}{6} = -\frac{17}{6}$. It is 5 tick marks to the left of -2, between -3 and -2.

Step3: Locate $\frac{2}{3}$

$\frac{2}{3} = \frac{4}{6}$. It is 4 tick marks to the right of 0, between 0 and 1.

Answer:

• For $-2\frac{5}{6}$: Place a dot 5 tick marks left of -2 (between -3 and -2).
• For $\frac{2}{3}$: Place a dot 4 tick marks right of 0 (between 0 and 1).