Question

plot the fraction (-\frac{2}{3}) on the number line.

Explanation:

Identify the given fraction

The fraction to plot is \(-\frac{2}{3}\).

Determine the interval

The fraction is negative and lies between \(-1\) and \(0\).

Divide the interval

Divide the segment from \(-1\) to \(0\) into \(3\) equal parts.

Locate the point

Count \(2\) parts to the left of \(0\).

Mark the position

The point is located at \(-\frac{2}{3}\), which is two-thirds of the way from \(0\) to \(-1\).

Answer:

To plot \(-\frac{2}{3}\) on the number line:

1. Divide the interval between \(-1\) and \(0\) into \(3\) equal segments.
2. Starting from \(0\), move \(2\) tick marks to the left.
3. Place a point at that location, which represents \(-\frac{2}{3}\).