Question

find the length of $overline{ab}$. a -34 0 b 17 ab = ?

Explanation:

Step1: Use distance formula

The distance between two points \(x_1\) and \(x_2\) on a number - line is \(d=\vert x_2 - x_1\vert\). Here \(x_1=-34\) and \(x_2 = 17\).
So \(AB=\vert17-(-34)\vert\).

Step2: Simplify the expression

\(\vert17-(-34)\vert=\vert17 + 34\vert\) (since \(a-(-b)=a + b\)).
\(\vert17 + 34\vert=\vert51\vert\).

Step3: Evaluate the absolute - value

\(\vert51\vert = 51\).

Answer:

51