Draw the number line and represent the rational number on it:
`(-5)/(8)`

Answer

To represent the rational number \(-\frac{5}{8}\) on a number line, follow these steps:

### Step 1: Draw the Number Line
Start by drawing a horizontal line. This will be your number line.

### Step 2: Mark the Points
On the number line, mark the point for \(0\) in the center. To the left of \(0\), mark the point for \(-1\).

### Step 3: Divide the Segment
Since we are dealing with \(-\frac{5}{8}\), we need to divide the segment between \(0\) and \(-1\) into \(8\) equal parts.

### Step 4: Label the Parts
Label each part starting from \(0\) to \(-1\):
- The first part to the left of \(0\) is \(-\frac{1}{8}\).
- The second part is \(-\frac{2}{8}\) (which simplifies to \(-\frac{1}{4}\)).
- The third part is \(-\frac{3}{8}\).
- The fourth part is \(-\frac{4}{8}\) (which simplifies to \(-\frac{1}{2}\)).
- The fifth part is \(-\frac{5}{8}\).
- The sixth part is \(-\frac{6}{8}\) (which simplifies to \(-\frac{3}{4}\)).
- The seventh part is \(-\frac{7}{8}\).
- The eighth part is \(-\frac{8}{8}\) (which is \(-1\)).

### Step 5: Locate \(-\frac{5}{8}\)
Now, locate the point \(-\frac{5}{8}\) on the number line. It is the fifth mark to the left of \(0\).

### Final Representation
Your number line should now clearly show the point \(-\frac{5}{8}\) marked appropriately.

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