Order the following from greatest to least: 20, −22, |−45|, |−49|.

The order from greatest to least is:

|−49| > |−45| > 20 > −22

To order the given numbers from greatest to least, we will evaluate each number and arrange them accordingly:

1. |−49| = 49: The absolute value of −49 is 49.
2. |−45| = 45: The absolute value of −45 is 45.
3. 20: This is a positive number.
4. −22: This is a negative number.

Now, let's arrange them in descending order:

49, 45, 20, −22

Therefore, the correct order from greatest to least is 49, 45, 20, −22.