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

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

Step2: Identify interval spacing

Each integer split into 6 equal parts.

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

4 ticks left of 0, between -1 and 0.

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

11 ticks right of 0, between 1 and 2.

Answer:

• For $-\frac{2}{3}$: Mark the point 4 equal intervals to the left of 0 (between -1 and 0, 2 intervals right of -1).
• For $1\frac{5}{6}$: Mark the point 5 equal intervals to the right of 1 (between 1 and 2, 1 interval left of 2).