Order the following from greatest to least: 20, −22, |−45|, |−49|.(2 points)
The correct order from greatest to least is: |-49|, |-45|, 20, -22.
To order the given numbers from greatest to least, we can start by comparing their absolute values since they will give us the magnitudes of the numbers.
The absolute value of a number is the distance the number is from zero on a number line. It is always positive.
Let's find the absolute values of the given numbers:
|20| = 20
|-22| = 22
|−45| = 45
|−49| = 49
Now we have:
20, 22, 45, 49
Ordering these numbers from greatest to least gives us:
49, 45, 22, 20
So, the numbers in order from greatest to least are 49, 45, 22, 20.