Sure! Let's order the following values from least to greatest:
1. [tex]\( 0 \)[/tex]
2. [tex]\( |-1| \)[/tex]
3. [tex]\( -6 \frac{1}{2} \)[/tex]
4. [tex]\( |9| \)[/tex]
First, evaluate the absolute values:
- The absolute value of [tex]\(-1\)[/tex] is [tex]\( |-1| = 1 \)[/tex].
- The absolute value of [tex]\(9\)[/tex] is [tex]\( |9| = 9 \)[/tex].
Now, let's list all values with the absolute values computed:
- [tex]\( 0 \)[/tex]
- [tex]\( 1 \)[/tex]
- [tex]\( -6.5 \)[/tex] (which is another way of writing [tex]\(-6 \frac{1}{2}\)[/tex])
- [tex]\( 9 \)[/tex]
Next, sort these numbers from least to greatest:
- The smallest value is [tex]\( -6.5 \)[/tex].
- The next smallest value is [tex]\( 0 \)[/tex].
- Following that is [tex]\( 1 \)[/tex].
- The largest value is [tex]\( 9 \)[/tex].
Hence, the values in order from least to greatest are:
[tex]\[ -6.5, 0, 1, 9 \][/tex]
