Question

select the number line model that matches the expression |-2 - 7|. choose 1 answer:

Explanation:

1. First, simplify the expression \(|-2 - 7|\):

• Calculate \(-2-7=-9\). Then \(|-2 - 7|=|-9| = 9\).
• We are looking for a number - line model that shows the distance between two points that is 9 units.

1. Analyze each option:

• Option A: The distance between - 2 and 8 is \(|8-(-2)|=|8 + 2| = 10\).
• Option B: The distance between 2 and 8 is \(|8 - 2|=6\).
• Option C: The distance between - 6 and 3 is \(|3-(-6)|=|3 + 6| = 9\).

Answer:

C. A number - line with points at - 6 and 3 and an arc connecting them to show the distance between them is 9 units.