Question

Paige lives 3 miles east of her school. Diego lives 8 miles wes of the school. Which expression represents the distance, in miles, between Paige's house and Diego's house?

Answer 1

Answer: |3-(-8)|

Step-by-step explanation:

Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.

From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]

We know that, Distance between any two points from A to B= B-A

Since distance is a positive quantity, thus

The distance between them = $|3-(-8)|$ miles=11 miles

Answer 2

|3 - (-8)| is the correct answer.

That is because it simplifies to

3 + 8

That is because of the keep change flip