Question

evaluate the following.
(a) $\vert - 9\vert+4=square$
(b) $\vert - 9 + 4\vert=square$

Explanation:

Step1: Evaluate absolute - value in (a)

The absolute value of - 9, $|-9| = 9$. So the expression $|-9|+4$ becomes $9 + 4$.

Step2: Calculate the sum in (a)

$9+4=13$.

Step3: Evaluate the expression inside the absolute - value in (b)

First, calculate $-9 + 4=-5$. Then find the absolute value of - 5, $|-5|$.

Step4: Calculate the absolute - value in (b)

$|-5| = 5$.

Answer:

(a) 13
(b) 5