Sure, let's go through this step-by-step solution:
1. Starting Position: You begin at the number -27 on the number line.
2. Movement to the Right: You move 5 integers to the right. When you move to the right on the number line, you are adding the number of integers to your current position.
3. Perform the Addition:
[tex]\[
-27 + 5 = -22
\][/tex]
After moving 5 integers to the right, you end up at -22.
4. Finding the Absolute Value: The absolute value of a number is its distance from 0 on the number line, regardless of direction (positive or negative). Essentially, you remove the sign and take the positive value of the number.
[tex]\[
\text{Absolute value of } -22 = 22
\][/tex]
So, the answer to the question "You start at the number -27 on the number line and move 5 integers to the right, what is the absolute value?" is 22.
