Sure! Let's solve this problem step-by-step:
### Step 1: List the given integers
The integers provided are:
[tex]\[
11.6, -6, -13, -18, 0, 18, -12, 9, 7
\][/tex]
### Step 2: Arrange the integers in ascending order
To arrange the integers in ascending order, we need to order them from the smallest to the largest:
- The smallest integer is: [tex]\(-18\)[/tex]
- The next smallest integer: [tex]\(-13\)[/tex]
- The next smallest integer: [tex]\(-12\)[/tex]
- The next smallest integer: [tex]\(-6\)[/tex]
- The next smallest integer: [tex]\(0\)[/tex]
- The next smallest integer: [tex]\(7\)[/tex]
- The next smallest integer: [tex]\(9\)[/tex]
- The next smallest integer: [tex]\(11.6\)[/tex]
- The largest integer: [tex]\(18\)[/tex]
### Step 3: Verify the ordered sequence
Now let's write the integers in ascending order:
[tex]\[
-18, -13, -12, -6, 0, 7, 9, 11.6, 18
\][/tex]
### Step 4: Plot the integers on the number line
To check it by plotting the integers on the number line, we will place the integers on the imaginary number line from left (more negative) to right (more positive):
```
-18, -13, -12, -6, 0, 7, 9, 11.6, 18
```
On the number line, it would look like this:
[tex]\[
\begin{array}{c|c|c|c|c|c|c|c|c}
\cdots & -18 & -13 & -12 & -6 & 0 & 7 & 9 & 11.6 & 18 & \cdots
\end{array}
\][/tex]
Each of these values appropriately follows the order from the smallest to the largest.
Therefore, the final arranged order of the given numbers is:
[tex]\[
-18, -13, -12, -6, 0, 7, 9, 11.6, 18
\][/tex]
