To order the numbers from greatest to least, let's first evaluate the absolute values.
- \( 20 \) is \( 20 \).
- \( -22 \) is \( -22 \).
- \( |−45| = 45 \).
- \( |−49| = 49 \).
Now, we can compare the values:
- \( 49 \) (from \( |−49| \))
- \( 45 \) (from \( |−45| \))
- \( 20 \)
- \( -22 \)
Now, let's order them from greatest to least:
- \( |−49| = 49 \)
- \( |−45| = 45 \)
- \( 20 \)
- \( -22 \)
So the ordered list from greatest to least is:
\( |−49|, |−45|, 20, −22 \).