Final Answer:
The expression representing the distance between -6 and 7 on the number line is |7 - (-6)| or |7 + 6|, which equals 13.
Step-by-step explanation:
On the number line, the distance between two points is calculated by finding the absolute difference between their values. For -6 and 7, subtracting -6 from 7 gives the direct distance. However, since distance is always positive, taking the absolute value ensures this. Thus, |7 - (-6)| or |7 + 6| both represent the distance between -6 and 7, which equals 13.
When finding the distance between two points on a number line, you essentially measure the span between them. In this case, the points are -6 and 7. Subtracting -6 from 7 directly provides the distance, but considering the absolute value guarantees a positive measurement regardless of their order on the number line.