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QUESTION IMAGE

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

Question

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

Explanation:

Step1: Locate $-2\frac{5}{6}$ on the line

$-2\frac{5}{6} = -\frac{17}{6}$, which is 5 tick marks to the left of -2 (since each interval between integers is split into 6 equal parts).

Step2: Locate $\frac{2}{3}$ on the line

$\frac{2}{3} = \frac{4}{6}$, which is 4 tick marks to the right of 0 (since each interval between integers is split into 6 equal parts).

Answer:

  • For $-2\frac{5}{6}$: Place a dot 5 units left of -2 on the 6-part interval between -2 and -3.
  • For $\frac{2}{3}$: Place a dot 4 units right of 0 on the 6-part interval between 0 and 1.