Final answer:
To find the distance between -10 and 16 on the number line, calculate the difference ignoring the signs: 16 - (-10) = 26. The distance is 26 units.
Step-by-step explanation:
To express the distance between -10 and 16 on the number line using absolute value, you calculate the difference between the two numbers disregarding their signs. Essentially, this is like finding the length of the line segment that connects -10 and 16 on the number line, which represents the distance between these two points.
The calculation is as follows:
- Identify the two points: -10 and 16.
- Calculate the difference without considering the sign: 16 - (-10) = 16 + 10 = 26.
- The distance is the absolute value of this difference, which is already positive here. So the distance is simply 26 units.
Therefore, the distance between -10 and 16 on the number line is 26 units.