What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22−1 1/2

To find the absolute value of subtracting these rational numbers on a vertical number line diagram, we can simply calculate the difference between the numbers and take the absolute value of the result.

First, let's subtract the numbers:

-22 - 1 1/2 = -22 - 3/2

To subtract fractions, we need a common denominator:

-22 - 3/2 = -44/2 - 3/2 = -47/2

Now, let's take the absolute value of -47/2:

|-47/2| = 47/2

Therefore, the absolute value of subtracting -22 and -1 1/2 on a vertical number line diagram is 47/2.

To find the absolute value of subtracting these rational numbers on a vertical number line diagram, follow these steps:

Step 1: Start by plotting the first rational number, -22, on the number line. Place a point at this location.

Step 2: Next, subtract the second rational number, 1 1/2, from the first rational number (-22 - 1 1/2 = -23 1/2 or -23.5). Move down from the first point by 23 1/2 units or 23.5 units.

Step 3: Place another point at this new location. This represents the result of the subtraction on the number line.

Step 4: Finally, calculate the distance between the two points (the first point and the result point) on the number line. The absolute value of the subtraction (-22 - (1 1/2)) will be this distance.

Thus, the absolute value of subtracting -22 and 1 1/2 on a vertical number line diagram is 23.5 units.