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Plot [tex]-\frac{7}{5}[/tex] and its opposite on the number line. Select the points on the line to plot the points.

Sagot :

Let's start by identifying the two numbers you need to plot on the number line: [tex]\(-\frac{7}{5}\)[/tex] and its opposite. The opposite of a number is obtained by changing its sign.

1. Identify the original number and convert it to decimal form:
[tex]\[ -\frac{7}{5} = -1.4 \][/tex]

2. Find the opposite of [tex]\(-1.4\)[/tex]:
- The opposite of [tex]\(-1.4\)[/tex] is [tex]\(1.4\)[/tex].

These are the two numbers you need to plot: [tex]\(-1.4\)[/tex] and [tex]\(1.4\)[/tex].

3. Plotting on the number line:

- First, draw a horizontal line and mark the significant integers: [tex]\(\dots, -3, -2, -1, 0, 1, 2, 3, \dots\)[/tex].

- Locate and mark the decimal points:
- [tex]\(-1.4\)[/tex] will be positioned slightly to the left of [tex]\(-1\)[/tex] but not reaching [tex]\(-2\)[/tex]. It’s closer to [tex]\(-1\)[/tex].
- [tex]\(1.4\)[/tex] will be positioned slightly to the right of [tex]\(1\)[/tex] but not reaching [tex]\(2\)[/tex]. It’s closer to [tex]\(1\)[/tex].

Here is a visual representation of where these points will lie on the number line:

```
<---|---|---|---|---|---|---|---|---|---|---|--->
-3 -2 -1 -0.5 0 0.5 1 2 3
(-1.4) (1.4)
```

- The point [tex]\(-1.4\)[/tex] is marked between [tex]\(-1.5\)[/tex] and [tex]\(-1\)[/tex].
- The point [tex]\(1.4\)[/tex] is marked between [tex]\(1\)[/tex] and [tex]\(1.5\)[/tex].

By carefully placing these points, you have successfully plotted [tex]\(-1.4\)[/tex] and its opposite, [tex]\(1.4\)[/tex], on the number line.