Answer:
To find the absolute value of subtracting -22 and -1 1/2, we can convert -1 1/2 to an improper fraction:
-1 1/2 = -3/2
Now we can subtract the two numbers:
-22 - (-3/2)
To simplify, we can change the subtraction of a negative fraction to addition:
-22 + 3/2
To add these rational numbers, we need to find a common denominator of 2:
-22(2/2) + 3/2
-44/2 + 3/2
Now we can add the fractions:
(-44 + 3)/2
-41/2
The absolute value of -41/2 is 41/2 or 20.5.
So, the absolute value of subtracting -22 and -1 1/2 is 20.5.
On a vertical number line diagram, you would plot -22 and then move 20.5 units downwards to represent the result of the subtraction.