Let's put the given set of integers in order from smallest to largest step by step, and then arrange them on the number line.
We start with the set of integers:
[tex]\[ 10, 2, -12, -11, -2, 8, -8 \][/tex]
Step-by-step, let's compare and order these numbers.
1. Identify the smallest number:
- The smallest number in the set is [tex]\(-12\)[/tex].
2. Next smallest number:
- The second smallest number is [tex]\(-11\)[/tex].
3. Next smallest number:
- The third smallest number is [tex]\(-8\)[/tex].
4. Next smallest number:
- The fourth smallest number is [tex]\(-2\)[/tex].
5. Next smallest number:
- The fifth smallest number is [tex]\(2\)[/tex].
6. Next smallest number:
- The sixth smallest number is [tex]\(8\)[/tex].
7. Identify the largest number:
- The largest number in the set is [tex]\(10\)[/tex].
Putting it all together, we get the ordered set:
[tex]\[ -12, -11, -8, -2, 2, 8, 10 \][/tex]
Now, let's place these numbers appropriately on a number line:
[tex]\[
\begin{array}{ccccccccccccccccc}
-12 & -11 & & & & & -8 & & & -2 & & 2 & & & 8 & & 10 \\
\vert & \vert & & & & & \vert & & & \vert & & \vert & & & \vert & & \vert \\
\end{array}
\][/tex]
This shows the ordered integers as they would appear on a number line.
