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Order each set of integers on a number line.

Set 2: 10, 2, -12, -11, -2, 8, -8

[tex]\[
\begin{array}{llllllllllllllllllllllll}
-12 & -11 & -10 & -9 & -8 & -7 & -6 & -5 & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11
\end{array}
\][/tex]


Sagot :

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.