Question

select the number line model that matches the expression |-6 - (-3)|. choose 1 answer:

Explanation:

1. First, simplify the expression \(|-6-(-3)|\):

• Using the rule \(a - (-b)=a + b\), we have \(-6-(-3)=-6 + 3=-3\).
• Then \(|-6-(-3)|=|-3| = 3\), which represents the distance between \(-3\) and \(0\) on the number - line.

1. Analyze each option:

• Option A: The distance shown is from \(-2\) to \(6\), which is \(|6-(-2)| = 8\).
• Option B: The distance shown is from \(2\) to \(6\), which is \(|6 - 2|=4\).
• Option C: The distance shown is from \(-6\) to \(-2\), which is \(|-2-(-6)|=4\).
• Option D: The distance shown is from \(-3\) to \(0\), which is \(|0-(-3)| = 3\).

Answer:

D. (the number - line model with a distance of 3 units from \(-3\) to \(0\))