Final answer:
The numbers that have an absolute value of 2 are +2 and -2. They are shown on the number line by marking points two units to the right and to the left of the origin (0), respectively.
Step-by-step explanation:
To show on a number line which numbers have an absolute value of 2, we first need to understand what absolute value means. The absolute value of a number is the distance of that number from 0 on the number line, regardless of the direction. Therefore, both positive 2 and negative 2 have an absolute value of 2 because they are both two units away from 0.
To illustrate this on a number line:
- Start at the origin (0).
- Move two units to the right to reach +2. This is the first number that has an absolute value of 2.
- Return to the origin (0) and then move two units to the left to reach -2. This is the second number that has an absolute value of 2.
Both points, +2 and -2, can be marked on the number line to indicate the numbers that have an absolute value of 2.