Question

whole numbers and integers
operations with absolute value: problem
evaluate the following.
(a) $|-2 + 7| = $
(b) $|-2| + 7 = $

Explanation:

Part (a)

Step1: Calculate inside absolute value

First, we calculate the expression inside the absolute value: \(-2 + 7 = 5\).

Step2: Take absolute value

Then, we take the absolute value of the result. The absolute value of \(5\) is \(|5| = 5\).

Step1: Take absolute value of -2

First, we find the absolute value of \(-2\). The absolute value of \(-2\) is \(|-2| = 2\).

Step2: Add 7 to the result

Then, we add \(7\) to this result: \(2 + 7 = 9\).

Answer:

\(5\)

Part (b)