Why does the absolute value of subtracting these rational numbers on a vertical line diagram?
-22 - 1 1/2
Please give me the right answer
To find the absolute value of a subtraction of rational numbers, you would follow these steps:
1. Subtract the two rational numbers: -22 - 1 1/2
-22 - 1 1/2 = -22 - 3/2
2. Convert the mixed number (1 1/2) to an improper fraction:
1 1/2 = (2 * 1) + 1 / 2 = 2 + 1/2 = 3/2
3. Substitute the value from step 2 into the subtraction:
-22 - 3/2
4. Find a common denominator, which in this case is 2:
-22 = (-22 * 2) / 2 = -44/2
5. Perform the subtraction with the common denominator:
-44/2 - 3/2 = (-44 - 3) / 2 = -47/2
6. Take the absolute value of the result:
| -47/2 | = 47/2
So, the absolute value of the subtraction -22 - 1 1/2 is 47/2.
To find the absolute value of subtracting these rational numbers, -22 and 1 1/2, using a vertical line diagram, follow these steps:
Step 1: Represent -22 on the vertical line diagram:
Start by drawing a vertical line. Place the number -22 on this line. Since -22 is a negative number, place a minus sign (-) above it.
Step 2: Represent 1 1/2 on the vertical line diagram:
Start at the current position on the line (which is -22) and move up by 1 unit. Then move up by another 1/2 unit. Place the number 1 1/2 at this new point on the line.
Step 3: Subtract the numbers:
To subtract -22 from 1 1/2, start at 1 1/2 on the line and move down by 22 units. This will bring you to a new point on the line.
Step 4: Find the absolute value:
The distance between the starting point (1 1/2) and the new point (after subtracting -22) represents the absolute value. Measure this distance on the line to determine the absolute value of the subtraction.
Note: Since I cannot draw diagrams as text, I recommend sketching a simple vertical number line for yourself to visualize this process more clearly.