Question

plot the numbers $-\frac{2}{3}$ and $1\frac{5}{6}$ on the number line below.
number line from -3 to 3 with ticks at -3, -2, -1, 0, 1, 2, 3

Explanation:

Step1: Convert to sixths for alignment

$-\frac{2}{3} = -\frac{4}{6}$, $1\frac{5}{6} = \frac{11}{6}$

Step2: Identify interval size

Each unit is split into 6 equal parts.

Step3: Locate $-\frac{4}{6}$

From 0, move left 4 intervals.

Step4: Locate $\frac{11}{6}$

From 0, move right 11 intervals (1 full unit + 5 intervals).

Answer:

• For $-\frac{2}{3}$: Place a mark 4 intervals to the left of 0 (between -1 and 0, closer to 0).
• For $1\frac{5}{6}$: Place a mark 5 intervals to the right of 1 (between 1 and 2, closer to 2).

(Visual placement on the provided number line: the first mark is 4 ticks left of 0, the second is 5 ticks right of 1)