Question

select the number line model that matches the expression |8 - 1|. choose 1 answer:

Explanation:

1. First, simplify the expression \(|8 - 1|\):

• Calculate \(8−1 = 7\), so \(|8 - 1|=|7| = 7\). This represents the distance between 0 and 7 on the number - line.

1. Analyze each option:

• Option A: The number - line shows the distance between 1 and 8, which is \(|8 - 1|=7\). The starting point is at 1 and the ending point is at 8, and the distance between them is 7 units.
• Option B: The number - line shows the distance from a negative number to 8, which is not \(|8 - 1|\).
• Option C: The number - line shows a distance on the negative side of the number - line, which is not \(|8 - 1|\) since \(|8 - 1| = 7\) is a positive distance starting from 0 or between 1 and 8.

Answer:

A